ࡱ> =?<BJ{| M7 zNbjbjUU *f7|7|UFl  8Pl4) )((((((($) +(1w11(Q (Q Q Q 1(Q 1(Q "Q s&r'T Z( S48 O>(Z(4(0)L(,%,,Z(Q Simultaneous Demand Smoothing and Work-Shift Scheduling in a Service Operation Avi Dechter Department of Management Science College of Business Administration and Economics California State University, Northridge Email: avi.dechter@csun.edu Abstract In trying to balance short-term capacity with uneven demand, service operations often engage in both demand management, i.e., an effort to smooth the demand, and capacity management, i.e., an effort to adjust capacity to meet the fluctuations in the demand. A common practice is to smooth the demand to some extent and then schedule service personnel to meet the smoothed demand. This paper demonstrates that such approach is not optimal, as it may result in over-smoothing the demand. By consulting a model where demand smoothing and personnel scheduling are determined simultaneously, the quality of these decisions can be improved. Introduction Because of the characteristic fluctuations of the demand for services, and due to the fact that services are produced and consumed simultaneously, service organizations struggle constantly with the problem of matching their short-term capacity and demand. The strategies used to respond to this situation are classified as either capacity management - adjusting capacity to better respond to the variations in the demand - or demand management - changing the demand pattern to better match the available capacity. Examples of capacity management are scheduling of employees to varying work shifts and the use of part-time employees. Examples of demand management are the use of an appointment system and the use of differential pricing schemes for demand smoothing. For a thorough discussion of demand and supply management see, for example, Heskett et al. (1990). When the demand is hard to control (e.g., a call center) the focus is on capacity management (e.g., employee scheduling). When the capacity is largely fixed (e.g., a hotel) the focus is on demand management (e.g., differential pricing and reservations). In many cases, however, services have some control over both the demand and the capacity. Typically, in these cases, the decisions concerning the two strategy types are done sequentially. For example, a medical clinic typically determines the employees work schedule and then use an appointment system to control the arrivals of patients in accordance with the availability of the employees. Conversely, a tax preparation service might use incentives to mitigate the fluctuations in demand during the tax season and then schedule its tax preparers to meet the expected modified demand. Showalter and White (1991) and Klassen (1997) argue that capacity and demand management decisions should be made simultaneously. In this paper we examine this idea by adding a demand smoothing component to a well-known capacity management model to create a model where decisions about capacity and demand management are considered simultaneously. The paper is organized as follows. We start by introducing a simple work-shift scheduling model which serves as our example of a capacity management model. Next, we explore the notion of demand smoothing and introduce a transportation-type model of demand smoothing which serves as an example of demand management. The two models are then combined to create a single model where both decisions are made simultaneously. We then use the joint model to develop some insights regarding the optimal combinations of capacity and demand decisions. We conclude the paper by suggesting some possibilities for further study. Note: all the models and examples in the paper were created and solved using Microsoft Excel and the Excel Solver. For the sake of clarity, we chose to present them in a sprearsheet format rather than a standard mathematical notation. We use a dotted background for cells represented decision variables and a slanted lines background for cells representing the objective function. The Work-Shift Scheduling Model One of the most common ways of meeting uneven demand is the use of varying work-shifts. Under this strategy employees are assigned to different shift types, each involving a different pattern of on and off work periods, in such a way that the number of employees who are on in each period is sufficient to meet the demand in this period. The objective is to minimize the total cost of the shift assignment. When the cost of assigning a worker to a shift is the same for all shift types, the objective is to minimize the amount by which the capacity provided by the schedule exceeds the demand (i.e., minimize idle time). The problem has a straightforward integer linear programming formulation. An Excel model representing an instance of this problem is shown in figure 1. This is an instance of the well known two consecutive days-off scheduling problem (e.g., Baker and magazine 1977) where, for a repetitive seven-day demand cycle, there are seven shift-types, each involving five consecutive workdays followed by two days off. The model exhibits an optimal assignment of employees to the seven shift types to meet the given demand pattern. A total of 55 idle capacity units are need.  There are two principal ways of reducing the idle time (in general, the cost of scheduling). The first is to allow additional types of work shifts (e.g., consisting of fewer than 5 work periods per cycle), thereby increasing the schedule flexibility (see Mabert and Showalter, 1990, for detailed analysis of this strategy). The second approach is to smooth the demand. For example, figure 2 shows the result of optimal scheduling of the employees when the demand pattern of figure 1 is smoothed out. The smoothed demand is simply the average daily demand rounded to integers. Not surprisingly, the total idle time went down from 55 to 0. The cost of scheduling (idle time), as this example demonstrates, may be reduced or even eliminated by smoothing the demand. Cost reduction, however, does not necessarily require maximum smoothing and may be realized by smoothing the demand to a lesser degree. In order to explore this relationship between the smoothness level of the demand pattern and the cost, we must address the question of how demand smoothing (to any degree) is gained and what is its cost. These issues are addressed in the following section. Measuring the Cost of Demand Smoothing Demand smoothing is aimed at reducing the fluctuations in the level of demand. There are three principal ways that service organizations use to smooth their demands: influencing, scheduling, and delaying/denying. Influencing is primarily done by differential pricing and by promoting off-peak demand; scheduling is done by requiring advance reservations; delaying/denying is the practice of forcing customers to wait (or causing them to leave) until capacity becomes available. While being very different from one another, all three strategies result in shifting some demand from one period to another. For that reason we use the paradigm of demand shifting as a generic representation of demand smoothing. The cost of smoothing may be measured by the minimum amount of demand which needs to be shifted in order to transform a given demand pattern into a smoother demand pattern. We use a transportation problem formulation for calculating the cost of smoothing the demand. This approach is similar to the well-known transportation-type formulation of production scheduling problems (e.g., Bowman 1956). Figure 3 shows a transportation problem representation of the model as used for calculating the cost of transforming the original demand pattern of the previous section into the perfectly smooth pattern discussed in that section. In this model, the sources represent the given demand is each period and the destinations represent the target demands in the same period. Each cell in the transportation table represents the amount of demand to be shifted from the source period to the destination period. The unit transportation cost in each cell is simply number of periods separating the source period from the destination period. For example the cost of shifting demand from period 3 to period 5 is 2. (The cost of shifting demand period 5 to period 3, however, is 5, since we assume, without loss of generality, that only forward shifting is allowed.) The objective is to minimize the sum of the products of the quantities shifted and the corresponding costs. We refer to this quantity as the total shifting. The total shifting in our example is 88. The analysis, so far, suggests two alternatives: schedule employees to meet the original unmodified demand or smooth the demand and then schedule employees to meet the smoothed demand. If we choose the first alternative we incur 55 idle days but no smoothing cost. If we choose the second alternative, we incur the cost of shifting 88 demand units but no idle time. The choice between the two alternatives depends on the cost of idle time vs. the cost of demand shifting. Let Ci be cost of one idle employee-day and Cs be the cost of shifting one unit of demand forward one day. If Ci/Cs < 8/5, then the first alternative costs less than the second; if Ci/Cs = 8/5, then the two alternatives are equally costly; and if Ci/Cs > 8/5, then the second alternative costs less than the first. Clearly, these two are not all the strategies possible. In their classification of demand management strategies, Crandel and Markland (1995) refer to the first strategy, where there is no attempt to change the demand as the match strategy, and to the second, where the capacity is kept constant to meet average demand, as the control strategy. A third strategy, included in the classification is the influence strategy, where the variability of the demand is reduced but not necessarily eliminated. Rising et al. (1973) provide an example of the use of partial smoothing. In order to consider the options represented by this strategy, we need to modify our demand-shifting model to accommodate partial smoothing. This is done in the following section. The Cost of Partial Smoothing A model that includes the notion of partial smoothing requires that we use a quantitative measure of the degree of smoothness of a given demand pattern. While many such measures are possible, we elect to measure the degree of smoothness by half the sum of the absolute changes in demand from one period to next over one complete demand cycle. We refer to this measure as the smoothing index. A perfectly smooth demand would have a smoothing index of 0. As figure 4 shows, the original demand in our example has a smoothing index of 50 and the maximally smoothed demand has a smoothing index of 1. The difference between these two numbers, 49, is the maximum possible reduction in the value of the smoothing index. For patterns that are less than maximally smoothed, we define the Percent Smoothing as the ratio of the reduction in the smoothing index to the maximum possible reduction. For example, the third pattern in figure 4 has a smoothing index of 20 and, therefore, a smoothing percentage of 61.22% ((50-20)/(50-1)). A graphical comparison of all three patterns of demand is shown in figure 5.  In order to explore the potential benefits of partial smoothing, we need to have a model for evaluating the cost of smoothing the demand to a given degree. We accomplish this by modifying the demand-shifting model of the previous section. The modified model combines the demand-shifting model of figure 3 with the smoothing index model of figure 4, which calculates the smoothing index of the smoothed demand. In the combined model, in addition to the demand shifting quantities, the amounts of increase or decrease from one period to the next in the smoothed demand are also adjustable. This model can be used in one of two ways: to find a least cost (as measured by the total shifting) demand shifting plan that would result in desired degree of smoothing, or to find the smoothest demand pattern possible for a given amount of total shifting. Figure 6 shows a maximum smoothness (i.e., minimum smoothing index) demand-shifting plan when the total shifting is restricted to 40 units. The resulting pattern has a smoothing index of 16 and a smoothing percentage of 69.39%.  By varying the limit on the total shifting (alternatively, varying the minimum smoothing requirement), the demand smoothing model of figure 6 can be used to generate a demand pattern of a desired degree of smoothness. The resulting demand pattern is then used in the work-shift scheduling model to generate a minimum cost schedule. The expectation is that the reduction in the cost of idle time due to the smoother demand will outweigh the increase in the cost of demand shifting needed to smooth the demand. The amount of demand shifting, as well as the resulting amount of idle time, for varying degrees of demand smoothing are shown in figure 7. As expected, the amount of demand shifting needed increases with the degree of smoothness. However, smoother demand does not result necessarily in a less costly schedule, as can be shown in the graph on the left. Moreover, the sequential process, where the smoothing of the demand is done independently of the scheduling process, may result in scheduling decisions which are sub-optimal in that calls for more smoothing that is really needed for achieving a desired reduction in idle time. These deficiencies may be eliminated, by using a decision model that would directly connect the demand shifting decisions with the work-shift scheduling decisions. Such a model is discussed in the next section.  The Joint Demand/Capacity Management Model As demonstrated in the last section, using demand smoothing as a device to connect the demand shifting model with the work-shift scheduling model is not optimal. In this section the two models are instead combined into one model where demand shifting and work-shift scheduling are done simultaneously. In the joint model the re-distributed demand, which is the output of the demand shifting model, is also the input of the weekly work-shift scheduling model. An Excel version of this model is shown in figure 8. In the joint model the demand shifting variables and the work-shift assignment variables are all decision variables. This model can be used in several ways. For example, the solution shown in figure 8 represents a minimal demand-shifting solution required to eliminate idle time altogether. The amount of shifting needed is 18 units. The resulting demand pattern has a smoothing index of 34 (smoothing percentage 32.65%). This is in sharp contrast with the sequential approach of the preceding section where complete elimination of idle time required the shifting of 60 units of demand (smoothing percentage 89.8%). By relaxing the restriction on the amount of idle time to various levels and calculating the corresponding amounts of demand-shifting required one can uncover the efficient frontier of this model. The resulting graph for our example is shown in figure 9 together with a graph depicting the inefficient relationship between the amount of smoothing and the amount of idle time in the sequential procedure discussed above. The selection of one of the points on the efficient frontier depends, as before, on the relative costs of demand shifting and of idle time. Adding a cost function to this model is very simple and then the objective becomes minimizing the total cost.    Conclusion In trying to balance their capacities and demands, many service organizations engage in both capacity and demand management. A common practice is to smooth the demand as much as possible and then schedule employees and facilities to meet the smoothed demand. As we demonstrate in this paper, this strategy is not optimal, as these organizations may over-smooth their demands. By consulting a model where demand shifting and employee/facility scheduling are determined simultaneously, the quality of these decisions can be improved. We demonstrated these ideas by using two generic models for capacity management and demand management. However, linking the capacity management decision model with the demand management decision model in actual applications requires further study. Situations where this approach appears more likely to be successful are those where the service organization has the power to schedule both its service personnel and its customers as well. Hospital operating room scheduling, which involves staff scheduling (capacity management) as well as scheduling patients for elective surgical procedures (demand management), is an example. References Baker, K.R. & Magazine, M., "Workforce Scheduling with Cyclic Demands and Days-Off Constraints." Management Science, Vol. 24, No. 2, 1977, 161-167. Bowman, E.H., "Production Scheduling by the Transportation Method of Linear Programming." Operations Research, Vol. 4, No. 1, 1956, 100-103. Crandall, R.E. & Markland, R.E., "Demand Management - Today's Challenge for Service Industries." Production and Operations Management, Vol. 5, No. 2, 1996, 106-120. Heskett, J.A., Sasser, W.E. & Hart, C.W., Service Breakthroughs. New York: The Free Press, 1990. Klassen, K.J., Simultaneous Management of Demand and Supply in Services. Ph.D. Dissertation, The University of of Calgary, Alberta, Canada, 1997. Mabert, V.A. & Showalter, M.J., "Measuring the Impact of Part-Time Workers in Service Organizations." Journal of Operations Management, Vol. 9, No. 2, 1990, 209-229. Rising, J.R., Baron, R. & Averill, B., "A System Analysis of a University Health-Service Outpatient Clinic." Operations Research, Vol.21, No. 5, 1973, 1030-1047. Showalter, M.J. & White, J.D., "An Integrated Model for Demand-Output Management in Service Organizations: Implications for Future Research." International Journal of Operations and Production Management, Vol. 11, No. 1, 1991, 51-67.  We divide the total change in two because, by definition, the sum of the increase in demand is equal to the sum of the decreases in demand.  PAGE 10  EMBED Excel.Sheet.8  Figure 9 The Relationship between Total Demand Shifting and Idle Time Sequential Procedure Efficient Frontier  EMBED Excel.Sheet.8  Figure 8 The Joint Demand-Shifting/Shift-Scheduling Model  EMBED Excel.Sheet.8  Figure 3 The Demand-Shifting Model  EMBED Excel.Sheet.8  Figure 4 The Smoothing Index and the Percent Smoothing  EMBED Excel.Sheet.8  Figure  SEQ Figure \* ARABIC 1 The Work-shift Scheduling Model  EMBED Excel.Sheet.8  Figure 2 - Work-shift Scheduling with Maximally Smoothed Demand  EMBED Excel.Sheet.8  Figure 5 Demand Patterns of Varying Degrees of Smoothness  EMBED Excel.Sheet.8  Figure 6 The Demand Smoothing Model  EMBED Excel.Sheet.8  EMBED Excel.Sheet.8  Figure 7 Total Shifting and Idle Time as Functions of the Degree of Smoothness =P\}wx/ @ tAB(Tds&%'%7%E%p%M'N'u'v''''''(((A(B(D(E(~++t,,,,-#-..//=3#4$4&4l9m99@@@@@@@ j0JUH*jCJUmHnHu5jUmHnHu 5CJ\5CJCJCJQ=OP\}wxtuAC $]^a$$a$$a$UJJJyNa b p%((}+~++//B1=3>3#4%4&4l9n99;;@@@@@@1$$a$@@@@@@@@@@@@@@@BBCRE^E_EEEFF'G(G $0^`0a$$a$@@@@@@@QERE^E_EOGgGiISJTJUJVJJJJJJJJJ K K KKKKKKKKKKKKKLL4L5Lɾwj; UVmHnHu jUj3; UVmHnHu jUj~f; UVmHnHujo; UVmHnHu jU0JmHnHu0J j0JU j0JU>*CJCJCJ5CJ5CJj5UmHnHujUmHnHu,(GGGHHHHhIiISJTJUJJJJJJ KUKVKWKXKmKnK$a$$$a$$a$ $0^`0a$ $0^`0a$nKKKKKKKKLLL8LqLrLsLtLLLLLLLLQMRMSMnMMM$a$$$a$5L6L7LtLuLLLLLLLLLLLLLLLLLSMTMjMkMlMmMMMMMMMMMNN N N!N"N#N$NyNzN}y5CJ jnVUjL; UVmHnHu jNUjL; UVmHnHu jBUj<; UVmHnHu j9Uj; UVmHnHu jB2Uj}}; UVmHnHu mHnHu j,Uj;X4; UVmHnHu jU j%U,MMMMMMM%NvNwNxNyNzN $0^`0a$$a$$ (PP&P/ =!"#8$8%Dd"f<   C A 2{ikTE|]fjD`!b{ikTE|]f:@ -0xՙ{UEǿswhb[ҫYRjNnQYR ]tiEDP[[BYTlSG2" =gPws/t3{;3ܣ@Pv0`0ড়THXk!Yb/" I\.e󄵮>IETtсo:ⶃTVV!CÇ˚9fY__/Ǐ/Ν+g͚%gΜ)N*ʔ_/ i~=W6ITDCLE41(DM :QDC,N뎙MOP񓌟d$'%HR'hb%Pԉ"b 4u&XC(!iKE/^(zQ:QDC,NhjDM :K`Mu cZ@Xӗf|M_>ub ,utgi.a\{wL?ܫ7O?`O>6"5#}YhQSy12P#}rɱğ6=qꮸeO{+Q]I~_HϾK~O+8~ʨA!K6-?xȊ\{*@QĮV;$۴tHb5hAk ZSڠR;#άgbgwt#ݘu.شXkZ{Z5!h A ZmкCCfiqXA{=hHЎm !A9hm"/&0oq/chg`߃ TzJ{D+v^W*;ƕsj.nGᜫ߈OЂ]qF?7x{$:__c+a}3?b \]寯W\+~ ,q8OݽF rĵS"q LF;>CGsj|NP㯯؉؆xxFff>6vΘk;2<<{4:<Qfa<5՟fΞ½<7^P%|}>±@mtWma=~VIB=B,Len WEym?Ϛ,^H ұ~%nBb/nG1Wn עwrW\u)j8µ @\u^,j kуU<\BW.wb{LU]O3'0ӟ- ~>vs,wjFޥxG{RǃxǥTt^eA楡L+ټz*N8-}Jꋏ怹`c6hA Zlbf9`.ll0c``6y`s<0怹? szp c|v@; >ëc6``?^]0ާk|0c.`v0?`|ë y|. &bkpa>\00̶}y9` 1p0s<0f{<mK<\0hv=s0c.`6y>s:z5 ~^S{± V[~w"p.GN`c2] O8z^p.Xn7>3ř5ŃM=񂰊q9xRvqۯ1oꯊעE?s: Q2'y"ȃ\E "u^Ef !zjޢAT=-DO B=-Da2{Qt=DO7Mt=0{k._xl-K XXXXXXX^$g5'Kd,ѓ%zD4}Fzfg!zf%A'R)WJUWuT&~K] 5ZK- "Z~e;r@fgjV x('z l+ܿf}2;ܓL>L%,fV0[J$rdKko>\Sk /Yb1J`0? KMiMͰWH6@*"ȲOE HUȖQldD&Gy]?hyM+z7XF֠N*z7KލO:pd~S #FUG(mN Zۖ2x[+}AokorIVVvq$| 4НngTEL+JO oғrIUzReV̵Wҷ2XQ0Qۊ¨Gz[3#A{#%m߲s=@=%\0 6G"0;Ϭ1!+oDVA+wΈmK9x;"}Aooߕ~c x*F0J+ MJO*"ȴۤ24(MJODKoғo7-{3CLHNnJb~g'JO*"z>TFoғ-DxRm)lEK5Rd}S x  !"#$%&'()*+,-./012356789:;>AJDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root EntryL F@bS4@-Data 4F^WordDocumentK*fObjectPoolN S4@bS4_999267695 F S4S4Ole CompObjbObjInfo  #&'(*+,-./03678:;<=>?@CFGHJKLMNOPSVWXZ[\]^_`cfghjklmnopqtwxy{|}~ FMicrosoft Excel ChartBiff8Excel.Sheet.89q Oh+'0@H\p  Avi Dechter Avi DechterMicrosoft Excel@^@vWorkbook CFZSummaryInformation( DocumentSummaryInformation8 _999253630D FS42,S4 IBa= < =Z8X1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial1\Arial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0;\-0;;@\l 0;\-0;;@                + ) , *    # "  ( "8 @ "8@  "8  ( #8@@ #8@ #8  @ " #8 @ #8 #8 "8""@ @ "8" @   @  #8UU@ @     $""    # #8 #8@   (@  ( @  (@@  (@  (  @  (  ( #8  (  "@ @  "@  " @  @@  @  @   @    "" solver_preư>" solver_preư>" solver_preư> solver_rel1 solver_rel1 solver_rel1 solver_rel1 solver_rel2 solver_rel2 solver_rel2 solver_rel2 solver_rel3 solver_rel3 solver_rel3 solver_rel4 solver_rel4 solver_rel4 solver_rel5 solver_rel5 solver_rel5 solver_rel6 solver_rel6 solver_rel6 solver_rel7 solver_rel7 solver_rel7 solver_rhs1# solver_rhs1# solver_rhs1# solver_rhs1#% solver_rhs2; % solver_rhs2; % solver_rhs2;% solver_rhs2; % solver_rhs3; solver_rhs3# solver_rhs3#% solver_rhs4;% solver_rhs4;% solver_rhs4;% solver_rhs5; ! solver_rhs5:! solver_rhs5:% solver_rhs6;% solver_rhs6;% solver_rhs6;! solver_rhs7:! solver_rhs7:! solver_rhs7: solver_scl solver_scl solver_scl solver_scl solver_sho solver_sho solver_sho solver_sho solver_timd solver_timd solver_timd solver_timd" solver_tol? solver_tol" solver_tol?" solver_tol? solver_typ solver_typ solver_typ solver_typ solver_val solver_val solver_val solver_val `  3  @@  =To->P E R I O DOriginalFromDemandCostPERIODModified Demand-> Increase-> Decrease->Change Max ChangeShiftingIncreaseDecreaseTotalSmoothing Index: P e r i o dPeriodSHFT Total Idle Demand -> Assigned Available ->Idle -> IdleAGNTotal Shifting: Total Idle:Simult.Sequen.Demand-> Shifting->Total SmootingIndex-> Scheduled ->Cost of shifting one unitCost of one idle unit Smoothed Original DemandMaximally SmoothedPartially SmoothedPercent Smoothing:Percent Percentage->shiftingIndexpercentidle:Y& 0&P&hD'_';l'|r$(dO(t䨎b0blA䨎Lb j-b䨎|bM_䨎bfb,D`T0Н0b肏dMbC`T0bbdMbgY`T0bip0b-bbb-HM.Н0䨎\bl|-T0bt00AXwbblzm00b E000bbb߿0b|-bt0bsolver_val7ent0]4bXw-b 0lb|b@Xw|ܐdM`OAb@dOA O`T0  b*We`T0ܐ8b`[$ݐdMb@b%0,bU` 0,bQ` 0BV0bV=Lb  I"`->Fase-??C3` >Y)` >Y*` >Y+A3d23 M NM4  3QQ ; Q ; Q3_4E4  3QQ ; Q ; Q3_4E4D $% M 3O&)Q4$% M 3O&+Q4FA3% 3O;I 3*#M43*N@#M! M4%  3M3O7&*Q  Idle Time'4% i(MZ3O&*Q .Total Demand Shifting'43d" 3_ M MM ] MM<4444 e@@$@$@D@D@K@K@K@K@$@$@@@.@.@ $@ $@ @ @  e2@&@"@@$@4@>@  D@  I@  N@e>  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )dcloseee@4"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  !} I} "$$T0$b $b $bo$ $ $ $b $b  $  $0^! $Tt  $mn  $fi $ 0$0 $@b $ 00$K@$bo$b0$b$$[$O$$$T0T$ To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#N~ N~ ?N~ @ N~  @ N~  @ N~ %@N~ @0?@@@@@#~ ?O<@D POD PO@?D P O'0@D  P O@ D  P O D PQD PI@ D  0@?@@@@#R~ @R~ R~ ? R~  @ R~  @ R~ %@R~ @0@@?@@@#~ @OD POI;;@D PO%&@D P O D  P O D  P O D PQD P>@D  0@@@?@@Shifting# P R~ @R~ @R~  R~  ? R~  @ R~ %@R~ @0@@@@?@ Cost  ~ !T@$"*PD!N~ # E~ @OD POD PO}8@D P O D  P O D  P O D PQ D P9@D  0@@@@@?,+ V@ee B  ~ !Q@$"*ii?"PD!N~ #@ R R~ @R~ @R~ @ R~   R~  ? R~ %@R~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"*ii? "PD!N~ #@ I~ @  OD  P OD  P OD  P O(@ D  P O D  P O D  P QD  P (@D   @ @? '0@ @ I@( <@ D DB(  DD B# sH@ %  ~ !I@$ "*ى؉? "PD !N~ #"@ O R~ @ R~ @ R~ @ R~ @ R~  R~ %? R~ @ ~  I;;@ %&@$ >@(  D D B( 4@ D D B# >@  %  ~ !D@$ "*ii? "PD !N~ #,@ D~ @  O D  P O D  P O D  P O D  P OJ6@ D  P O@ D  P Q@D  P A@ D    }8@$ 9@(  D D B( @ D D B# }8@  %  ~ !>@$ "*5H4H? "PD !N~ #5@ R~ %@ R~ %@ R~ %@ R~ %@ R~ %@ R~ % R~ %? 6 (@(@(  D D B( *@ D D B# (@  %  ~ !4@$ "*ى؉? "PD !N~ #?@ ~ @  O D P O D P O D P O D P O D P O6@ D P Q D S 6@ D   J6@~ @ @~ A@( 6@ D D B( D D B# @@ %  ~ !$@$ "*}˷|˷?"PD !N~ #G@R~ ?R~ @R~ @ R~  @ R~  @ R~ &@R~ 66@6@(DD B((@D DB#6@ % ~ !@$"*?"PD!N~ #M@~ @O DPO DPO DP O D P O D P O DPQ6@ DP6@ D 66@6@(DDB(DDB#6@  % # Smoothed $.Total Demand-><@DI;;@DvB<@D '<@ D  H <@"D  <@D/:@D Shifting->T V@ D #<@ % #I;;@ % #vB<@ % #'<@ % #H <@ % #<@ % #/:@ % #`h@ % Change#Y@ % 00  Increase->(-?DDB(DDB(>DDB(  D DB (  D D B ( D D B(DD B'Smooting (?DDB(DDB(DDB(DDB(DDB(DDB( DDBChange  Decrease->("DDB#(#>DDB#(# DDB#( #ʺ= DD B #( #d= D D B #( #=D D B#(#-?D DB(Index->#)P@  % ("DDB(#DDB(#DDB(#DDB(#DDB(#DDB($?DDB#@ % 0!0<@<@<@<@<@<@;@#`h@ %N D!D!D!D!D!D!D!>+0q6;xWHHHHHH $T0!$b ! !!DT(  Tp T 6NMM?$09,@]`U  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee >@  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )ds#)  solver_rhs,"DP E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#N~ N~ ?N~ @ N~  @ N~  @ N~ %@N~ @0?@@@@@#~ ?O%8<@D PO2@D PO D P OD  P O@ D  P OD PQD PI@ D  0@?@@@@#R~ @R~ R~ ? R~  @ R~  @ R~ %@R~ @0@@?@@@#~ @OD PO&$@D PO$`@D P O0@ D  P O D  P O? D PQD P>@D  0@@@?@@Shifting# P R~ @R~ @R~  R~  ? R~  @ R~ %@R~ @0@@@@?@ Cost  ~ !T@$"*PD!N~ # E~ @OD POD PO9@D P O D  P O D  P O D PQ D P9@D  0@@@@@?,+DS@ee B~ V@  ~ !Q@$"*ii?"PD!N~ #@ R R~ @R~ @R~ @ R~   R~  ? R~ %@R~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"*ii? "PD!N~ #@ I~ @  OD  P OD  P OD  P O(@ D  P O D  P O D  P QD  P (@D   %8<@ 2@$ @ I@Z ( <@ D DB(  DD B# H@ %  ~ !I@$ "*ى؉? "PD !N~ #"@ O R~ @ R~ @ R~ @ R~ @ R~  R~ %? R~ @ ~  &$@ $`@ 0@? >@ Z (  D D B( 4@ D D B# =@  %  ~ !D@$ "*ii? "PD !N~ #,@ D~ @  O D  P O D  P O D  P O D  P O9@ D  P O:@ D  P Q@D  P A@ D  0 9@ 9@ Z (  D D B( @ D D B# 9@  %  ~ !>@$ "*5H4H? "PD !N~ #5@ R~ %@ R~ %@ R~ %@ R~ %@ R~ %@ R~ % R~ %? 0 (@ (@ Z (  D D B( *@ D D B# (@  %  ~ !4@$ "*ى؉? "PD !N~ #?@ ~ @  O D P O D P O D P O D P O D P O6@ D P Q D S 6@ D   9@ :@ @ A@Z ( 6@ D D B( D D B# e@@ %  ~ !$@$ "*}˷|˷?"PD !N~ #G@R~ ?R~ @R~ @ R~  @ R~  @ R~ &@R~ 06@6@Z(DD B((@D DB#6@ % ~ !@$"*?"PD!N~ #M@~ @O DPO DPO DP O D P O D P O DPQ6@ DP6@ D 06@6@ Z(DDB(DDB#6@  % # Smoothed $.Total Demand->%8<@DD<@DL;@D <@ D  ;@ D  P:@ Ddc:@D Shifting->`DS@D #%8<@ % #D<@ % #L;@ % #<@ % #;@ % #P:@ % #dc:@ % #`h@ % sChange#Y@ % 00  Increase->([Lm?DDB\(]e>DDB\(]DDB\( ]=D DB \( ]D D B \( ]D D B\(]@=DD B^Smooting !l?* Change Max Change Decrease->&WDDBX(YDDBX(Y? DDBX( Y DD B X( Y@.? D D B X( YƂ6> D D BX(Y"D DBZIndex->#a?  % "##+1?~ ##?#b 4>~ $#l? %~ 4@(Smooting '1<@ DDD'%8<@DDD'<@DDD'L;@DDD'Z;@DDD' :@DDD'P:@DDD ( Percentage->_X?DPercent >!$VX?2D1~ VD@.!shiftingB$@4@>@D@I@N@Q@T@V@.!IndexBI@D@>@5@0@&@@@@?.!percentB@@@@@@V@"@Y@.!shiftingB$@4@>@D@I@N@Q@T@V@.! idleBK@$@@.@$@@.!shiftingB$@4@>@D@I@N@Q@T@V@D!BL.XqBVx> $T0!$b ! !!D(  ( @A@A p  6NMM?$09,@]`,U  I",??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA j 3O }+x 3*?#M43*N@#M4% B , M3O~&Q &Percent Smoothing'4% ]\MZ3OY&Q  Total Shifting'43d" 444 eee xp   6NMM?@.] `U  I"??3` >Y` >Y` >Y3d23 M NM4  3Q:  idleQ ;Q ;Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA\ B 3O{ 3*Y@#M43*#M! M4% Os mM3O&Q ,Smoothing Percentage'4% MZ3O7&Q  Idle Time'4523  NM43d" 3_ M NM ] MM<444% M_3OQ'44 eee xp   6NMM? !-] `| U  I"| ??3` >Y` >Y` >Y3d23 M NM4  3Q: shiftingQ ;Q ;Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA_ 6 3O 3*Y@#M43*V@#M! M4% Xo pM3O&Q ,Smoothing Percentage'4% 5MZ3OL&Q  Total Shifting'4523  NM43d" 3_ M NM ] MM<444% M03OQ'44 eee xp   6NMM?2C] `$ U  I"$ ??3` >Y` >Y Iqп3d23 M NM4  3Q:  idleQ ;Q ;Q3_4E4D $% M 3O&Q4$% M 3O& Q4FAL ^ 3OSw 3*#M43*#M! M4523  O43d"  --3O -% M3OQ443_ M NM ] MM<444% lVJM3OQ'44 eee >@*** I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d4!*()d"dX??U} } I}   T0 b b b    b@ b U - Ub bU @ Ub  U UU {EEEE P e r i o dEEE E0F?F@F@F@F@F@F@GTotal   Original Demand0I@>@9@(@A@6@6@#`h@ %   Increase(<@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB#I@ %   Decrease(DDB(4@DDB(@DDB(*@DDB(DDB((@DDB(DDB#I@ %   HHHHHHHISmoothing Index:HI@D   UPercent Smoothing:/V DDDD    UV Maximally Smoothed0<@<@<@<@<@<@;@#`h@ %    Increase( ? DDB(  DDB(  DDB(  DDB(  DDB( DDB(  DDB# ?  %    Decrease(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB( ? DDB# ? %    HHHHHHH ISmoothing Index: H?D     UPercent Smoothing:/ V?DD DD    UV Partially Smoothed0C@C@6@1@A@6@6@#`h@  %   Increase(1@DDB(DDB(DDB(DDB(1@DDB(DDB(DDB#A@ %   Decrease(DDB(DDB(1@DDB(@DDB(DDB((@DDB(DDB#A@ %HHHHHHHISmoothing Index:HA@ DUPercent Smoothing:/V9/? DDDD *ghB`dz"dz"pT0X(  Xv X <NMM?]`&] dU  I"d??3` >Y` >Y` >Yqп3d23 M NM4 3Q: "Original DemandQ ;QQ3_  NM  d4E4 3Q: (Maximally SmoothedQ ;QQ3_  NM  d4E4 3Q: (Partially SmoothedQ ;QQ3_  NM  d4E4D $% M 3O&Q4$% M 3O&Q4FA- 3O) 3 b#M43*$@J@#M! M4% 0 ~JM3O.&Q Period'4% [MZ3O5&Q Denand'43" G 83OG % M3OQ44444eee >@  I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d A2>$ ee@"dX??U} m}  } $} }   T0 b  @b Zb@     b b U -  KU@b bU! 0 Ub  U UU {    bO b bPeriod 0?@@@@@@   Demand -> %8<@ ZD<@ZL;@Z<@Z ;@Z P:@Z dc:@Z  Assigned    *?3?4?4?4?4? 45  J'@    S~ @1$????? 6  K @    H~ @ 1$????6?  KĘK@    I@1? ???6?  K!@    F@1?? ??6?  K){@    T @1???  ?6?  K)&@   $ @2???? ~ 7?  Lc@ # C@ % >     Scheduled ->, =9<@ e e B, D<@ e e B, XL;@ e e B, ;@ e e B, e;@ e e B, :@ e e B, H^:@ e e B  - Total Idle    Idle ->! ,q=  D D! ,5=  D D! ,U=  D D! ,  D D! ,b  D D! ,@^=  D D! ,p D D ,# M= % N    IdleShifting ~ T@$* PDN9@ ~ Q@$*ii?PDN4@@ ~ N@$*ii?PDN.@@ ~ I@$*ى؉?PDN$@"@ ~ D@$*ii?PDN,@ ~ >@$*5H4H?PDN5@ # W_h@ %~ 4@$*ى؉?PDN?@  ?׶m;@ D ~ $@$*}˷|˷?PDNG@ ~ @$*?PDNM@ 6?T5$h||~~~$`$Jbbbbbb>@&( O v  <NMM?x]`U  IMCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??3`  `  ` ` <P$(  r  0t-  @ }]t-\U <Total Shifting<Urr  0Ĭ-  @W]Ĭ-U  < Idle Time<< i3d23 M NM4  3QQ ;Q ;Q3_4E4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FA1S 5 3OU 3*?#M43*N@#M4% | ,sM3O~&Q &Percent Smoothing'4523  NM43d" 444 eee xp  6NMM? 0@]`U  I"??3`  `  `  i3d23 M NM4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FAS 5 3O + 3*?#M43*#M! M4% S| ,sM3O~& Q &Percent Smoothing'4% ]iMZ3O@& Q  Idle Time'4523  NM43d" 444 eee >@A @ I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )d4!*()d@A"d,,??U} } } } } I} } I} } I} } I} } I} } I} } I} }  !} } } ,((T0(b (b (b ( ( ( (b (b  (U! (-  (Ub  (bU! ( (Ub ( (iU@ (UU!(K@{ (((Ub(([(Ub({ (ZU@(z0 (0((T0T( To->P E R I O D Original0' From ~ ?~ @~ @~  @ ~  @ ~  @~ @ Demand0'N~ N~ ?N~ @ N~  @ N~  @ N~ %@N~ @0?@@@@@'~ ?O3C@D PO!@D POD P Oĕ?D  P O D  P O D PQD  bI@ D  0@?@@@@'R~ @R~ R~ ? R~  @ R~  @ R~ %@R~ @0@@?@@@#$Simult.%&Sequen.'~ @OD PO>@D POD P O D  P O D  P O D PQD  b>@D  0@@@?@@Shifting#$!Shifting %!Idle&!Shifting '!Idle P R~ @R~ @R~  R~  ? R~  @ R~ %@R~ @0@@@@?@ Cost#$,@BB,@B' E~ @OD POD POd5@D P O @ D  P O D  P O D PQ D  b9@D  0@@@@@?,+31@"ee B~ *@ #$&@B@B"@B$@' R R~ @R~ @R~ @ R~   R~  ? R~ %@R~ @0?@@@@@DemandIncreaseDecrease #$ @B$@B@B.@' I~ @  OD  P OD  P OD  P O(@ D  P O D  P O D  P QD  bf (@D   =3C@ >!@~ > >ĕ? >>'I@( <@ D DB(  DD B# ݢH@ %  !# $@B.@B@B4@' O R~ @ R~ @ R~ @ R~ @ R~  R~ %? R~ @ 6 ?p@0>@(  D D B( 4@ D D B# >@ %  !# $@B4@BB9@' D~ @  O D  P O D  P O D  P O D  P OA@ D  P O D  P QD  b A@ D   ? d5@  @ 09@(  D D B( @ D D B# 9@ %  !# $B9@% &' R~ %@ R~ %@ R~ %@ R~ %@ R~ %@ R~ % R~ %? 6 ?(@0(@(  D D B( *@ D D B# (@ %  !*' ~ @  O D P O D P O D P O D P O D P O6@ D P Q D b 6@ D  6 ?A@0A@( 6@ D D B( D D B# A@ %  !*'R~ ?R~ @R~ @ R~  @ R~  @ R~ &@R~ 6?6@06@(DD B((@D DB# 6@ %!*'~ @O DPO DPO DP O D P O D P O DPQ6@ D b6@ D !6@AAAAA(6@6@(DDB(DDB# 6@ %!'FModified Demand-> 3C@DC@Dd5@D 0@ D  A@ D  6@ D6@D DTotal Shifting:g31@ D#3C@ % #C@ % #d5@ % #0@ % #A@ % #6@ % #6@ % #`h@ % Change#Y@ % 20 ~ ?~ ?~ ?~ ?~  ? ~  ? 'ch0@D A $8?8?8?8?8? 88:h0@  S~ @ /.~ .?.~ .?.~  .? .~  .? .~  .?..0dD S .8$8?8?8?8?8?8~ ;  H~ @1~ ?~  ? ~  ? ~  ?~ ? 0dD S99*9?9?9?9?9?;  I~ @~ 1?~  ? ~  ? ~  ?~ ? 0dD I ~ ? $????;  F~ @~ 1?~ ? ~  ? ~  ?~ ? 0d1@D G ?? ???;1@  T~ @~ 1?~ ?~ ? ~  ?~ ? 0d@D N ??? ??;@ ~ @~ 2?~ ?~ ?~  ? ~ ? (e<D ???? ?<< F! Available ->,+C@eeB,+C@eeB,5@eeB, h0@ ee B , A@ ee B , 5@ ee B,5@eeB!!,+C@eeB,+C@eeB,5@eeB,h0@eeB,A@eeB,5@eeB,5@eeB Idle ->!,= DD,!,= DD,!,@ DD,! ,ֽ D D  ,! ,= D D  ,! , D D ,!, DD ! Total Idle:#C{ӽ %!= DD!= DD!@ DD!ֽ DD!= DD! DD! DD#{ӽ# %m~ A@F!2!(f^0@DDB(DDB(DDB(DDB(*=1@DDB(DDB(DDB 2!(DDB([=DDB(1@DDB(8.@DDB(DDB((@DDB(DDB#P@  %&*HBA?DDNDz4lL'U(uQEJz77'9GG+J/Jz (T0!(b"(b#(b$(&('(((b)(b*(U+(- !!!"!""Cost of shifting one unit"~ "@"!"׸? D"D#!#Cost of one idle unit#~ #?#!#{ӽ$ D#D$!!$W? D"D#&!&Shifting &Idle&Shifting &'!'2@2@ '(!(&@@&@ ()!)"@$@"@ )*!*@D@@ *+!+K@ +""EaBBBB` (   v  <NMM?0x @] @U  IMCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )d@@@@@@@@@@@@@@@@@@@@"d,??3` >Y` >Y` >Y&PHp\0(  \?:п3d23 M NM4 3QQ ;'+Q ;'+Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA: 3O9 3*#M43*4@#M! M4% s IM3O7&&Q  Idle Time'4% lMZ3O}&&Q .Total Demand-Shifting'4523  NM43d" 3_ M NM ] MM<4444eee >"@&&+ I  dMbP?_*+%"??hUT0bbbb U - Ub bUUbUUU{Ub IdleShifting idleshifting2@K@@&@$@$@$@"@@4@D@@.@>@K@$@D@ @I@ N@ Q@  T@  V@ 2@  @&@ $@"@ D@@ K@~ K@~ ~ $@~ $@~ @~ 4@~ .@~ >@~ $@~ D@~ @~ I@~ ~ N@20L"""""$$$$$$$$$ &&&&&&`( K F `p ` 6NMM?  "]`XbU  I"Xb??3` >Y#` >Y$qп3d23 M NM4 3Q: ShiftingQ ;Q ;Q3_4E4D $% M 3O&#Q4$% M 3O&$Q4FA+ @ 3OSw( 3*#M43*N@#M! M4523  O43d"  -3O % M3OQ443_ M MM ] MM<444% VJM3O/Q'44eee xp ` 6NMM? ]`Y%` >Y'qп3d23 M NM4  3Q: shiftingQ ; Q ; Q3_4E4D $% M 3O&%Q4$% M 3O&'Q4FA+ @ 3OSw9 3*#M43*N@#M! M4523  O43d"  -3O % M3OQ443_ M MM ] MM<444% VuJM@3O-Q'44 eee xp ` 6NMM?Px ]`|sU  IMCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )d L @ ,,>"d,??3` >Y!` >Y"` >Y(пMп3d23 M NM4  3QQ ; Q ; Q3_4E4  3QQ ; Q ; Q3_4E4D $% M 3O&!Q4$% M 3O&"Q4FA K 3O/h 3*#M43*N@#M! M4%  "M3O7&(Q  Idle Time'4% egMZ3O&(Q .Total Demand Shifting'43d" 3_ M MM ] MM<4444 eee ``>@  ՜.+,D՜.+,D PXd lt| 51  Basic ModelDemand ManagementSmoothing IndexShift Scheduling SimultaneousSheet3Chart5  WorksheetsCharts 6> _PID_GUIDAN{ACAB97E1-F4CF-11D2-8D19-00E09803264D} FMicrosoft Excel WorksheetBiff8Excel.Sheet.89q Oh+'0@H\p  Avi Dechter Avi DechterMicrosoft Excel@MrOle PRINT h6CompObjfObjInfo      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~I0 0   ' """)))UUUMMMBBB999|PP3f333f3333f3ffffff3f̙3ff333f333333333f33333333f33f3ff3f3f3f3333f33̙33333f333333f3333f3ffffff3f33ff3f3f3f3fff3ffffffffff3ffff̙fff3fffff3fff333f3f3ff3ff33f̙̙3̙ff̙̙̙3f̙3f333f3333f3ffffff3f̙3f3f3f333f3333f3ffffff3f̙3f3ffffffffff!___www45'  ' ' 5B(-  !8mm !8mmu !8mm- !8mm !8mm !8mmU !8mm  !8  !8m !8mu !8m- !8m !8m !8mU !8m  !8  !8mI !8mIu !8mI- !8mI !8mI !8mIU !8mI  !8  !8m !8mu !8m- !8m !8m !8mU !8m  !8 -  !85B(-  !8m% !8m%u !8m%- !8m% !8m% !8m%U !8m%  !8 \ !8m !8mu !8m- !8m !8m !8mU !8m  !8  !8m !8mu !8m- !8m !8m !8mU !8m  !8 85B(~?- !85B(- !8 !5 !55 !5i !5 !5 !8 Arial--"System-'-- 4  2 ETo->2 P E R I O D   ! 2 Original!   --'-- --'-- k8  2 6From% 2 6 1 2 62 2 6z3 2 624 2 65 2 66 2 6Z72 6Demand%--'-- --'-- o  2 mE0 2 m1 2 m2 2 mm3 2 m%4 2 m5 2 m6--'-- --'--   2 1 2 39 2 9 2 2 2 550--'-- --'--   2 E6 2 0 2 1 2 m2 2 %3 2 4 2 5--'-- --'-- G  2 2 2 30 2 530--'-- --'-- ~K  2 IP 2 IE5 2 I6 2 I0 2 Im1 2 I%2 2 I3 2 I4--'-- --'--   2 E 2 3 2 N22 2 3 2 525--'-- --'--   2 R 2 E4 2 5 2 6 2 m0 2 %1 2 2 2 3--'-- --'-- #  2 I 2 4 2 12 2 512--'-- --'-- Z'  2 %O! 2 %E3 2 %4 2 %5 2 %m6 2 %%0 2 %1 2 %2--'-- --'-- ^  2 \D 2 \5 2 \34 2 \534--'-- --'--   2 E2 2 3 2 4 2 m5 2 %6 2 0 2 1--'-- --'--   2 6 2 v22 2 522 2  --'-- --'-- 6  2 E1 2 2 2 3 2 m4 2 %5 2 6 2 0--'-- --'-- m:  2 87 2 8.22 2 8522--'-- --'--  !2  Modified Demand->#   % 2 39 2 39 2 c22 2 17 2 34 2 22 2 C222 Total Shifting:    2 F18--'--   2 1 2  1 2 1 2 z1 2 21 2 1 2 517 2 A--'-- 3  2 S 2 2 2 1 2 z1 2 21 2 1 2 1 2 A0 2 S--'-- --'-- g7  2 6H 2 63 2 6z1 2 621 2 61 2 61 2 6Z1 2 6A0 2 6S--'-- --'-- k  2 jI 2 j4 2 j 1 2 j21 2 j1 2 j1 2 jZ1 2 jA0 2 jI --'-- --'--   2 F 2 5 2  1 2 1 2 1 2 1 2 Z1 2 517 2 G!--'-- --'--   2 T 2 6 2  1 2 1 2 z1 2 1 2 Z1 2 A5 2 N--'-- --'-- :  2 7 2  1 2 1 2 z1 2 21 2 Z1 2 A0--'-- --'-- P 2 N Available ->    2 N39 2 N39 2 Nc22 2 N17 2 N34 2 N22 2 NC22--'--  2 %Idle ->    2  0 2 0 2 z0 2 20 2 0 2 0 2 Z02 G Total Idle:   2 R0--'-- -  !L- !L !L !LU !L  !L !7q% !7q !7q !7qM !7q !7q !7qu !L- !L !L !LU !L  !L !7% !7 !7 !7M !7 !7 !7u !L|- !L| !L| !L|U !L|  !L| !7M% !7M !7M !7MM !7M !7M !7Mu !L- !L !L !LU !L  !L !7% !7 !7 !7M !7 !7 !7u !LX- !LX !LX !LXU !LX  !LX !7)% !7) !7) !7)M !7) !7) !7)u !L- !L !L !LU !L  !L !7% !7 !7 !7M !7 !7 !7u !L4- !L4 !L4 !L4U !L4  !L4 ! i !q ! !8 !  ! !? !  ! ! !  !7 ! !  !z !7% !qq !7 !q) !7 !q !7M !q !7 !qQ !7 !q  !7u !r !. !. !. !. !~  !r  ! !  !  ! !i !L} ! !L} !E !L|} ! !L} !! !LX} ! !L} ! !L4} !k ! ! !  ! 6 ! !  !{ !{ !  ! !{ !{--'- -'-   45 -'Workbook-SummaryInformation(DocumentSummaryInformation8_998388641  F2,S4@#FS4GF A\p Avi Dechter Ba= <=-)<<X@"1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0;\-0;;@\l 0;\-0;;@                + ) , *    # "  ( "8 @ "8@  "8  ( #8@@ #8@ #8  @ " #8 @ #8 #8 "8""@ @ "8" @   @  #8UU@ @     $""    # #8 #8@   (@  ( @  (@@  (@  (  @  (  ( #8  (  "@ @  "@  " @  @@  @  @   @    "" solver_preư>" solver_preư>" solver_preư> solver_rel1 solver_rel1 solver_rel1 solver_rel1 solver_rel2 solver_rel2 solver_rel2 solver_rel2 solver_rel3 solver_rel3 solver_rel3 solver_rel4 solver_rel4 solver_rel4 solver_rel5 solver_rel5 solver_rel5 solver_rel6 solver_rel6 solver_rel6 solver_rel7 solver_rel7 solver_rel7 solver_rhs1# solver_rhs1# solver_rhs1# solver_rhs1#% solver_rhs2; % solver_rhs2; % solver_rhs2;% solver_rhs2; % solver_rhs3; solver_rhs3# solver_rhs3#% solver_rhs4;% solver_rhs4;% solver_rhs4;% solver_rhs5; ! solver_rhs5:! solver_rhs5:% solver_rhs6;% solver_rhs6;% solver_rhs6;! solver_rhs7:! solver_rhs7:! solver_rhs7: solver_scl solver_scl solver_scl solver_scl solver_sho solver_sho solver_sho solver_sho solver_timd solver_timd solver_timd solver_timd" solver_tol? solver_tol" solver_tol?" solver_tol? solver_typ solver_typ solver_typ solver_typ solver_val solver_val solver_val solver_val\  3  @@  =To->P E R I O DOriginalFromDemandCostPERIODModified Demand-> Increase-> Decrease->Change Max ChangeShiftingIncreaseDecreaseTotalSmoothing Index: P e r i o dPeriodSHFT Total Idle Demand -> Assigned Available ->Idle -> IdleAGNTotal Shifting: Total Idle:Simult.Sequen.Demand-> Shifting->Total SmootingIndex-> Scheduled ->Cost of shifting one unitCost of one idle unit Smoothed Original DemandMaximally SmoothedPartially SmoothedPercent Smoothing:Percent Percentage->shiftingIndexpercentidle:u% /%P&h`&_&;l&|r@''t Zb,blA ZYHb -b ZxbM_ ZYbxfb,D`T0Н0b肏dMb ZblAA?xfb\b ZYip0 -bb -dM bnY`T0b`$-T0bt00b`T0zm00b E000bbb߿0b$-bt0bsolver_val7ent0]b~bL-|b0xbT00T00T0#--b10-O7+`T0  b*WO h[b@8b֜z0@0UHb@0Ud{0cT0Xb@0Ulb@0Ub}0RT0bbbbz0b@0Ub*b%0(b@0U` 0(bQ` 0b\0b\=Hb A  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )dcloseee@4"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  !} I} "$$T$$ $b$$ $ $b $b  $  $T  $ $b $$$b$@$-0$K@0$ $b$$$$$$$$    *#  ~ ?~ @~ @~  @ ~  @ ~  @~ @ *#N~ N~ ?N~ @ N~  @ N~  @ N~ %@N~ @0?@@@@@#~ ?O<@D POD PO@?D P O'0@D  P O@ D  P O D PQD PI@ D  0@?@@@@#R~ @R~ R~ ? R~  @ R~  @ R~ %@R~ @0@@?@@@#~ @OD POI;;@D PO%&@D P O D  P O D  P O D PQD P>@D  0@@@?@@ #  R~ @R~ @R~  R~  ? R~  @ R~ %@R~ @0@@@@?@   ~ !T@$"*PD!N~ # ~ @OD POD PO}8@D P O D  P O D  P O D PQ D P9@D  0@@@@@?,+ V@ee B  ~ !Q@$"*ii?"PD!N~ #@  R~ @R~ @R~ @ R~   R~  ? R~ %@R~ @0?@@@@@     ~ !N@$"*ii? "PD!N~ #@  ~ @  OD  P OD  P OD  P O(@ D  P O D  P O D  P QD  P (@D   @ @? '0@ @ I@( <@ D DB(  DD B# sH@ %  ~ !I@$ "*ى؉? "PD !N~ #"@  R~ @ R~ @ R~ @ R~ @ R~  R~ %? R~ @ ~  I;;@ %&@$ >@(  D D B( 4@ D D B# >@  %  ~ !D@$ "*ii? "PD !N~ #,@  ~ @  O D  P O D  P O D  P O D  P OJ6@ D  P O@ D  P Q@D  P A@ D    }8@$ 9@(  D D B( @ D D B# }8@  %  ~ !>@$ "*5H4H? "PD !N~ #5@ R~ %@ R~ %@ R~ %@ R~ %@ R~ %@ R~ % R~ %? 6 (@(@(  D D B( *@ D D B# (@  %  ~ !4@$ "*ى؉? "PD !N~ #?@ ~ @  O D P O D P O D P O D P O D P O6@ D P Q D S 6@ D   J6@~ @ @~ A@( 6@ D D B( D D B# @@ %  ~ !$@$ "*}˷|˷?"PD !N~ #G@R~ ?R~ @R~ @ R~  @ R~  @ R~ &@R~ 66@6@(DD B((@D DB#6@ % ~ !@$"*?"PD!N~ #M@~ @O DPO DPO DP O D P O D P O DPQ6@ DP6@ D 66@6@(DDB(DDB#6@  % # 2$ .,  *<@DI;;@DvB<@D '<@ D  H <@"D  <@D/:@D +T V@ D #<@ % #I;;@ % #vB<@ % #'<@ % #H <@ % #<@ % #/:@ % #`h@ %  #Y@ % 00   (-?DDB(DDB(>DDB(  D DB (  D D B ( D D B(DD B' - (?DDB(DDB(DDB(DDB(DDB(DDB( DDB   ("DDB#(#>DDB#(# DDB#( #ʺ= DD B #( #d= D D B #( #=D D B#(#-?D DB( .#)P@  % ("DDB(#DDB(#DDB(#DDB(#DDB(#DDB($?DDB#@ % 0!0<@<@<@<@<@<@;@#`h@ %N D!D!D!D!D!D!D!>*0n6~;rx HHHHHHH $T!$ ! !!DT(  Tp T 6NMM?$09,@]`4U  A"4??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee >@  A  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )ds#)  solver_rhs,"D@D  0@@@?@@ #  R~ @R~ @R~  R~  ? R~  @ R~ %@R~ @0@@@@?@   ~ !T@$"*PD!N~ # ~ @OD POD PO9@D P O D  P O D  P O D PQ D P9@D  0@@@@@?,+DS@ee B~ V@  ~ !Q@$"*ii?"PD!N~ #@  R~ @R~ @R~ @ R~   R~  ? R~ %@R~ @0?@@@@@     ~ !N@$"*ii? "PD!N~ #@  ~ @  OD  P OD  P OD  P O(@ D  P O D  P O D  P QD  P (@D   %8<@ 2@$ @ I@Z ( <@ D DB(  DD B# H@ %  ~ !I@$ "*ى؉? "PD !N~ #"@  R~ @ R~ @ R~ @ R~ @ R~  R~ %? R~ @ ~  &$@ $`@ 0@? >@ Z (  D D B( 4@ D D B# =@  %  ~ !D@$ "*ii? "PD !N~ #,@  ~ @  O D  P O D  P O D  P O D  P O9@ D  P O:@ D  P Q@D  P A@ D  0 9@ 9@ Z (  D D B( @ D D B# 9@  %  ~ !>@$ "*5H4H? "PD !N~ #5@ R~ %@ R~ %@ R~ %@ R~ %@ R~ %@ R~ % R~ %? 0 (@ (@ Z (  D D B( *@ D D B# (@  %  ~ !4@$ "*ى؉? "PD !N~ #?@ ~ @  O D P O D P O D P O D P O D P O6@ D P Q D S 6@ D   9@ :@ @ A@Z ( 6@ D D B( D D B# e@@ %  ~ !$@$ "*}˷|˷?"PD !N~ #G@R~ ?R~ @R~ @ R~  @ R~  @ R~ &@R~ 06@6@Z(DD B((@D DB#6@ % ~ !@$"*?"PD!N~ #M@~ @O DPO DPO DP O D P O D P O DPQ6@ DP6@ D 06@6@ Z(DDB(DDB#6@  % # 2$ .,  *%8<@DD<@DL;@D <@ D  ;@ D  P:@ Ddc:@D +`DS@D #%8<@ % #D<@ % #L;@ % #<@ % #;@ % #P:@ % #dc:@ % #`h@ %  #Y@ % 00   ([Lm?DDB\(]e>DDB\(]DDB\( ]=D DB \( ]D D B \( ]D D B\(]@=DD B^ - !l?*    &WDDBX(YDDBX(Y? DDBX( Y DD B X( Y@.? D D B X( YƂ6> D D BX(Y"D DBZ .#a?  % "##+1?~ ##?#b 4>~ $#l? %~ 4@( - '1<@ DDD'%8<@DDD'<@DDD'L;@DDD'Z;@DDD' :@DDD'P:@DDD ( 8_X?D 7 >!$VX?2D1~ VD@.! 9B$@4@>@D@I@N@Q@T@V@.! :BI@D@>@5@0@&@@@@?.! ;B@@@@@@V@"@Y@.! 9B$@4@>@D@I@N@Q@T@V@.! <BK@$@@.@$@@D!D!BC-XnB~Vrx H $T0!$b ! !!D  ( @A@A p  6NMM?$09,@]`)U  A")??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA j 3O }+x 3*?#M43*N@#M4% B , M3O~&Q &Percent Smoothing'4% ]\MZ3OY&Q  Total Shifting'43d" 444 eee xp   6NMM?@.] `<*U  A"<*??3` >Y` >Y` >Y3d23 M NM4  3Q:  idleQ ;Q ;Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA\ B 3O{ 3*Y@#M43*#M! M4% js mM3O&Q ,Smoothing Percentage'4% MZ3O7&Q  Idle Time'4523  NM43d" 3_ M NM ] MM<444% M53OQ'44 e e e xp   6NMM? !-] `*U  A"*??3` >Y` >Y` >Y3d23 M NM4  3Q: shiftingQ ;Q ;Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA_ 6 3O 3*Y@#M43*V@#M! M4% Xo pM3O&Q ,Smoothing Percentage'4% 5MZ3OL&Q  Total Shifting'4523  NM43d" 3_ M NM ] MM<444% MPY3OQ'44 e e e   >$@111 A  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d4!*()d"dX??U} } I}   T0 b b b    b@ b U - Ub bU @ Ub  U UU {EEE EEEE E0F?F@F@F@F@F@F@ G   30I@>@9@(@A@6@6@#`h@ %   (<@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB#I@ %   (DDB(4@DDB(@DDB(*@DDB(DDB((@DDB(DDB#I@ %   HHHHHHH IHI@D    U6/V DDDD    UV 40<@<@<@<@<@<@;@#`h@ %   ( ? DDB(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB# ? %   (  DDB(  DDB(  DDB(  DDB(  DDB(  DDB( ? DDB# ? %    HHHHHHH I H? D     U6/ V?DD DD    UV 50>@A@>@A@9@4@4@#`h@  %   ($@DDB(@DDB(DDB(@DDB(DDB(DDB(DDB#4@ %   (DDB(DDB(@DDB(DDB($@DDB(@DDB(DDB#4@ %HHHHHHH IH4@D U6/V? DDDD *h8\yyyUi"yyyUi"yyiE0X(  Xv X <NMM?]`&] h,U  A"h,??3` >Y` >Y` >Yqп3d23 M NM4 3Q: "Original DemandQ ;QQ3_  NM  d4E4 3Q: (Maximally SmoothedQ ;QQ3_  NM  d4E4 3Q: (Partially SmoothedQ ;QQ3_  NM  d4E4D $% M 3O&Q4$% M 3O&Q4FA- 3O) 3 b#M43*$@J@#M! M4% 0 ~JM3O.&Q Period'4% [MZ3O5&Q Denand'43" G 83OG % M3OQ44444eee >@ A  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d A2>$ ee@"dX??U} m}  } $} }   T0 b  @b Zb@     b b U ]  KU@b bU! 0 Ub  U UU {    bO [   0?@@@@@@   %8<@ ZD<@ZL;@Z<@Z ;@Z P:@Z dc:@Z       *?3?4?4?4?4? 45  J'@   ~ @1$????? 6  K @   ~ @ 1$????6?  KĘK@    @1? ???6?  K!@   @1?? ??6?  K){@    @1???  ?6?  K)&@   $ @2???? ~ 7?  Lc@ # C@ % >    /, =9<@ e e B, D<@ e e B, XL;@ e e B, ;@ e e B, e;@ e e B, :@ e e B, H^:@ e e B  -     ! ,q=  D D! ,5=  D D! ,U=  D D! ,  D D! ,b  D D! ,@^=  D D! ,p D D ,# M= % N    "  ~ T@$* PDN9@ ~ Q@$*ii?PDN4@@ ~ N@$*ii?PDN.@@ ~ I@$*ى؉?PDN$@"@ ~ D@$*ii?PDN,@ ~ >@$*5H4H?PDN5@ # W_h@ %~ 4@$*ى؉?PDN?@  ?׶m;@ D ~ $@$*}˷|˷?PDNG@ ~ @$*?PDNM@ 6h:T%$h||~~~$Z$@bbbbbb>@&( O v  <NMM?x]`8U  AMCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??3`  `  ` ` <P$(  r  0J]  @ }]J]$;U <Total Shifting<Urr  0@A @ A  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )d"d,,??U} } } } } I} } I} } I} } I} } I} } I} } I} }  !} } } ,((T0(b (b (b ( ( ( (b (b  (U! (]  (Ub  (bU! ( (Ub ( (iU@ (UU!(K@{ (((Ub(([(Ub({ (ZU@(z0 (((b(    0'  ~ ?~ @~ @~  @ ~  @ ~  @~ @  0'N~ N~ ?N~ @ N~  @ N~  @ N~ %@N~ @0?@@@@@'~ ?O3C@D PO!@D POD P Oĕ?D  P O D  P O D PQD  bI@ D  0@?@@@@'R~ @R~ R~ ? R~  @ R~  @ R~ %@R~ @0@@?@@@# $(% &)'~ @OD PO>@D POD P O D  P O D  P O D PQD  b>@D  0@@@?@@ # $! %!" &! '!"  R~ @R~ @R~  R~  ? R~  @ R~ %@R~ @0@@@@?@ #$,@BB,@B' ~ @OD POD POd5@D P O @ D  P O D  P O D PQ D  b9@D  0@@@@@?,+31@"ee B~ *@ #$&@B@B"@B$@'  R~ @R~ @R~ @ R~   R~  ? R~ %@R~ @0?@@@@@    #$ @B$@B@B.@'  ~ @  OD  P OD  P OD  P O(@ D  P O D  P O D  P QD  bf (@D   =3C@ >!@~ > >ĕ? >>'I@( <@ D DB(  DD B# ݢH@ %  !# $@B.@B@B4@'  R~ @ R~ @ R~ @ R~ @ R~  R~ %? R~ @ 6 ?p@0>@(  D D B( 4@ D D B# >@ %  !# $@B4@BB9@'  ~ @  O D  P O D  P O D  P O D  P OA@ D  P O D  P QD  b A@ D   ? d5@  @ 09@(  D D B( @ D D B# 9@ %  !# $B9@% &' R~ %@ R~ %@ R~ %@ R~ %@ R~ %@ R~ % R~ %? 6 ?(@0(@(  D D B( *@ D D B# (@ %  !*' ~ @  O D P O D P O D P O D P O D P O6@ D P Q D b 6@ D ! 6 ?A@0A@( 6@ D D B( D D B# A@ %  !*'R~ ?R~ @R~ @ R~  @ R~  @ R~ &@R~ 6?6@06@(DD B((@D DB# 6@ %!*'~ @O DPO DPO DP O D P O D P O DPQ6@ D b6@ D !6@AAAAA(6@6@(DDB(DDB# 6@ %!'F  3C@DC@Dd5@D 0@ D  A@ D  6@ D6@D  D&g31@ D#3C@ % #C@ % #d5@ % #0@ % #A@ % #6@ % #6@ % #`h@ %  #Y@ % 20 ~ ?~ ?~ ?~ ?~  ? ~  ? 'ch0@D # $8?8?8?8?8? 88:h0@  ~ @ /.~ .?.~ .?.~  .? .~  .? .~  .?..0dD  .8$8?8?8?8?8?8~ ;  ~ @1~ ?~  ? ~  ? ~  ?~ ? 0dD 99*9?9?9?9?9?;   ~ @~ 1?~  ? ~  ? ~  ?~ ? 0dD  ~ ? $????;  ~ @~ 1?~ ? ~  ? ~  ?~ ? 0d1@D $ ?? ???;1@  ~ @~ 1?~ ?~ ? ~  ?~ ? 0d@D % ??? ??;@ ~ @~ 2?~ ?~ ?~  ? ~ ? (e<D ???? ?<< F! ,+C@eeB,+C@eeB,5@eeB, h0@ ee B , A@ ee B , 5@ ee B,5@eeB!!,+C@eeB,+C@eeB,5@eeB,h0@eeB,A@eeB,5@eeB,5@eeB   !,= DD,!,= DD,!,@ DD,! ,ֽ D D  ,! ,= D D  ,! , D D ,!, DD ! '#C{ӽ %!= DD!= DD!@ DD!ֽ DD!= DD! DD! DD#{ӽ# %m~ A@F!2!(f^0@DDB(DDB(DDB(DDB(*=1@DDB(DDB(DDB 2!(DDB([=DDB(1@DDB(8.@DDB(DDB((@DDB(DDB#P@  %&*HBA?DDND3l @ R(bQEJz77'9GG+J$Jz (T0!(b"(b#(b$('((()(b*(b+(U !!!"! "0"~ "@"!"׸? D"D#! #1#~ #?#!#{ӽ$ D#D$!!$W? D"D#'!'2@2@ '(!(&@@&@ ()!)"@$@"@ )*!*@D@@ *+!+K@ +y""ooEBBBB` (   p  6NMM? /x0@i] `>U  A">??3` >Y` >Yqп3d23 M NM4 3QQ ;'+Q ;'+Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA+- ' 3OS 3*#M43*#M! M4523  O43d"  -3O % M3OQ443_ M NM ] MM<4444eee >@ A  dMbP?_*+%"??U>@ L@v ՜.+,D՜.+,h$ PXd lt| 31  Basic ModelDemand ManagementSmoothing IndexShift Scheduling SimultaneousSheet3  Worksheets 6> _PID_GUIDAN{ACAB97E1-F4CF-11D2-8D19-00E09803264D} FMicrosoft Excel WorksheetBiff8Excel.Sheet.89q Oh+'0@H\p  Avi Dechter Avi DechterMicrosoft Excel@=WOle !CompObj"fObjInfo$Workbook.      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEIHLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~ IBa= <=Zy8X1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial1TArial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0;\-0;;@\l 0;\-0;;@                + ) , *    # "  ( "8@@ "8 @ "8@ "8  "8  ( #8@@ #8@ #8  @ " #8 @ #8 #8 "8""@ @ "8" @ "8 "< @ "< @   @  #8UU@ @     ,UU@ @  $""    # #8 #8@   (@  ( @ "8 " @  (@@  (@  (  @  (  ( #8  (  "@ @  "@  " @  @@  @  @   @    "<""@ @ "" solver_preư>" solver_preư>" solver_preư> solver_rel1 solver_rel1 solver_rel1 solver_rel1 solver_rel2 solver_rel2 solver_rel2 solver_rel2 solver_rel3 solver_rel3 solver_rel3 solver_rel4 solver_rel4 solver_rel4 solver_rel5 solver_rel5 solver_rel5 solver_rel6 solver_rel6 solver_rel6 solver_rel7 solver_rel7 solver_rel7 solver_rhs1# solver_rhs1# solver_rhs1# solver_rhs1#% solver_rhs2; ! solver_rhs2:% solver_rhs2;% solver_rhs2; % solver_rhs3; solver_rhs3# solver_rhs3#% solver_rhs4;% solver_rhs4;% solver_rhs4;% solver_rhs5; % solver_rhs5; ! solver_rhs5:% solver_rhs6;% solver_rhs6;% solver_rhs6;! solver_rhs7:! solver_rhs7:! solver_rhs7: solver_scl solver_scl solver_scl solver_scl solver_sho solver_sho solver_sho solver_sho solver_timd solver_timd solver_timd solver_timd" solver_tol?" solver_tol?" solver_tol?" solver_tol? solver_typ solver_typ solver_typ solver_typ solver_val solver_val solver_val solver_val\ 3  @@  t}8To->P E R I O DOriginalFromDemandCostPERIODModified Demand-> Increase-> Decrease->Change Max ChangeShiftingIncreaseDecreaseTotalSmoothing Index: P e r i o dPeriodSHFT Total Idle Demand -> Assigned Available ->Idle -> IdleAGNTotal Shifting: Total Idle:Simult.Sequen.Demand-> Modified Shifting->Total SmootingIndex-> Scheduled ->Cost of shifting one unitCost of one idle unit Smoothed Original DemandMaximally SmoothedPartially SmoothedPercent Smoothing:2$ c$P$h %_N%;l%|r%b\b6bTb" b,z@@N T0 @N'?Н0(? b*W@F`T0bwwbt[@F`T0bip0bbHН0@}k\bl0T0bt00AAzm00b E000bbb߿0b0bt0bsolver_val7ent0]4bXwkkb 0lb|bhbXwyl&b]y4]xXwLl&?{`T0? ?b*Wx`T0`8b`9p wb@P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#Y~ Y~ ?Y~ @ Y~  @ Y~  @ Y~ '@Y~ @0?@@@@@#~ ?Z<@D [ZD [Z@?D [ Z'0@D  [ Z@ D  [ Z D [\D [I@ D  0@?@@@@#]~ @]~ ]~ ? ]~  @ ]~  @ ]~ '@]~ @0@@?@@@#~ @ZD [ZI;;@D [Z%&@D [ Z D  [ Z D  [ Z D [\D [>@D  0@@@?@@Shifting# P ]~ @]~ @]~  ]~  ? ]~  @ ]~ '@]~ @0@@@@?@ Cost  ~ !T@$"/PD!N~ # E~ @ZD [ZD [Z}8@D [ Z D  [ Z D  [ Z D [\ D [9@D  0@@@@@?,1 V@ee B  ~ !Q@$"/ii?"PD!N~ #@ R ]~ @]~ @]~ @ ]~   ]~  ? ]~ '@]~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"/ii? "PD!N~ #@ I~ @  ZD  [ ZD  [ ZD  [ Z(@ D  [ Z D  [ Z D  [ \D  [ (@D   @ @? '0@ @ I@( <@ D DB(  DD B# sH@ %  ~ !I@$ "/ى؉? "PD !N~ #"@ O ]~ @ ]~ @ ]~ @ ]~ @ ]~  ]~ '? ]~ @ ~  I;;@ %&@$ >@(  D D B( 4@ D D B# >@  %  ~ !D@$ "/ii? "PD !N~ #,@ D~ @  Z D  [ Z D  [ Z D  [ Z D  [ ZJ6@ D  [ Z@ D  [ \@D  [ A@ D    }8@$ 9@(  D D B( @ D D B# }8@  %  ~ !>@$ "/5H4H? "PD !N~ #5@ ]~ '@ ]~ '@ ]~ '@ ]~ '@ ]~ '@ ]~ ' ]~ '? 6 (@(@(  D D B( *@ D D B# (@  %  ~ !4@$ "/ى؉? "PD !N~ #?@ ~ @  Z D [ Z D [ Z D [ Z D [ Z D [ Z6@ D [ \ D ^ 6@ D   J6@~ @ @~ A@( 6@ D D B( D D B# @@ %  ~ !$@$ "/}˷|˷?"PD !N~ #G@]~ ?]~ @]~ @ ]~  @ ]~  @ ]~ (@]~ 66@6@(DD B((@D DB#6@ % ~ !@$"/?"PD!N~ #M@~ @Z D[Z D[Z D[ Z D [ Z D [ Z D[\6@ D[6@ D 66@6@(DDB(DDB#6@  % # Smoothed $4Total Demand-><@DI;;@DvB<@D '<@ D  H <@"D  <@D/:@D Shifting->_ V@ D #<@ % #I;;@ % #vB<@ % #'<@ % #H <@ % #<@ % #/:@ % #`h@ % Change#Y@ % 00  Increase->( -?DDB!(!DDB!(!>DDB!( ! D DB !( ! D D B !( !D D B!(!DD B,Smooting ( ?DDB(!DDB(!DDB(!DDB(!DDB(!DDB("DDBChange  Decrease->($DDB%(%>DDB%(% DDB%( %ʺ= DD B %( %d= D D B %( %=D D B%(%-?D DB-Index->#.P@  % ($DDB(%DDB(%DDB(%DDB(%DDB(%DDB(&?DDB#@ % 0#0<@<@<@<@<@<@;@#`h@ %N D#D#D#D#D#D#D#>+0q6;xWHHHHHH $T0!$b # !#DT(  Tp T 6NMM?$09,@]`  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()dM`k. PM`kqU"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  #} I} "$$T0$b $b $b $ $ $ $b $b  $! $  $b  $b! $ $b $ $@ $1$K@{0$ $0$b$$$b${$$z0$b$b To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@#~ ?+JC@D +,m!@D +@D  +D   + D   +D *D I@ D  0@?@@@@#~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#~ @+D +>@D +D  + D   + D   + D *D >@D  0@@@?@@Shifting# P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost  ~ !T@$"/PD!N~ # E~ @+D +D +E 2@D  +R@ D   + D   + D * D 9@D  0@@@@@?,1?@ee B  ~ !Q@$"/ii?"PD!N~ #@ R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"/ii? "PD!N~ #@ I~ @  +D   +D   +D   +(@ D   + D   + D   *D   (@D   JC@ ,m!@$ @ I@Z ( <@ D DB(  DD B# H@ %  ~ !I@$ "/ى؉? "PD !N~ #"@ O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 0 p@ >@ Z (  D D B( 4@ D D B# >@  %  ~ !D@$ "/ii? "PD !N~ #,@ D~ @  + D   + D   + D   + D   +9@ D   + @ D   *@D   A@ D    E 2@ R@  9@ Z (  D D B( @ D D B# J9@  %  ~ !>@$ "/5H4H? "PD !N~ #5@ ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 0 (@ (@ Z (  D D B( *@ D D B# (@  %  ~ !4@$ "/ى؉? "PD !N~ #?@ ~ @  + D  + D  + D  + D  + D  +6@ D  * D ) 6@ D   9@  @ @ A@Z ( 6@ D D B( D D B# @@@ %  ~ !$@$ "/}˷|˷?"PD !N~ #G@~ ?~ @~ @ ~  @ ~  @ ~ (@~ 00@6@Z(DD B((@D DB#6@ % ~ !@$"/?"PD!N~ #M@~ @+ D+ D+ D + D  + D  + D*5@ D6@ D *5@6@ Z(DDB(DDB#5@  % # Modified $4Total Demand->JC@DK[C@DE 4@D T2@ D  9@"D  9@D`9@D Shifting->0?@ D #JC@ % #K[C@ % #E 4@ % #T2@ % #9@ % #9@ % #`9@ % #`h@ % sChange#Y@ % 00  Increase->( h*@DDB!(!DDB!(!DDB!( ! D DB !( ! (@ D D B !( ! g=D D B!(!DD B,Smooting  ])@!!!!Z(@!"Change Max Change Decrease->&$DDB%(%=DDB%(%p2@ DDB%( % jH? DD B %( % D D B %( %D D B%(%Ԑ>D DB-Index->#.vwD@  % $%% 2@%;E?%%&#%D@ %~ D@0#'C@ DDD'JC@DDD'14@DDD'F2@DDD' 9@DDD'9@DDD'9@DDD D#0#0I@>@9@(@A@6@6@ 0#0D@A@>@>@4@4@4@ 0#C@JC@14@F2@ 9@9@9@ D#D#D#D#@,Dq6bxTqHxxHHH $T0!$b # !#D8  ( @A@A p  6NMM?$09,@]`  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee xp  6NMM?%]`  I"??3` >Y` >Yqп3d23 M NM4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4D $% M 3O&Q4$% M 3O&Q4FAL-' ' 3OS 3 b#M43*#M! M4523  O43"  }3O }% M3OQ44444eee > @ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d ook1  "dX??U} } I}   T0 b b b    b@ b   b b @ b    {PPPP P e r i o dPPP P0Q?Q@Q@Q@Q@Q@Q@RTotal   Original Demand0I@>@9@(@A@6@6@#`h@ %   Increase(<@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB#I@ %   Decrease(DDB(4@DDB(@DDB(*@DDB(DDB((@DDB(DDB#I@ %   SSSSSSSTSmoothing Index:SI@D   `Percent Smoothing:/a DDDD    `a Maximally Smoothed0<@<@<@<@<@<@;@#`h@ %    Increase( ? DDB(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB# ? %    Decrease(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB( ? DDB# ? %    SSSSSSS TSmoothing Index: S? D     `Percent Smoothing:/ a?DD DD    `a Partially Smoothed0>@A@>@A@9@4@4@#`h@  %   Increase($@DDB(@DDB(DDB(@DDB(DDB(DDB(DDB#4@ %   Decrease(DDB(DDB(@DDB(DDB($@DDB(@DDB(DDB#4@ %SSSSSSSTSmoothing Index:S4@D`Percent Smoothing:/a? DDDD *ghB`dz"dz"pT0X(  Xv X <NMM?]`&]    I" ??3` >Y` >Y` >Yqп3d23 M NM4 3Q: "Original DemandQ ;QQ3_  NM  d4E4 3Q: (Maximally SmoothedQ ;QQ3_  NM  d4E4 3Q: (Partially SmoothedQ ;QQ3_  NM  d4E4D $% M 3O&Q4$% M 3O&Q4FA- 3O) 3 b#M43*$@J@#M! M4% 0 ~JM3O.&Q Period'4% [MZ3O5&Q Denand'43" G 83OG % M3OQ44444eee XX>@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d A2>$ ee@"dX??U} m}  } $} }   T0 b  @b Zb@     b b    K@b b! 0 b    {   b   bPeriod 0?@@@@@@   Demand -> 0<@<@<@<@<@<@;@  Assigned    *?:?;?;?;?;? ;<  U@    S~ @7$????? =  V@    H~ @ 7$????=?  V)@    I@7? ???=?  V@    F@7?? ??=?  V@    T @7???  ?=?  V`@   $ @8???? ~ >?  W'%@ # YC@ % >     Scheduled ->, <@ e e B, <@ e e B, ;@ e e B, 3<@ e e B, ;@ e e B, ;@ e e B, :@ e e B  3 Total Idle    Idle ->! 2=  D D! 2=  D D! 2  D D! 2̜=  D D! 2m  D D! 2  D D! 2̔ D D 2# X % N    IdleShifting ~ T@$/ PDN9@ ~ Q@$/ii?PDN4@@ ~ N@$/ii?PDN.@@ ~ I@$/ى؉?PDN$@"@ ~ D@$/ii?PDN,@ ~ >@$/5H4H?PDN5@ # `h@ %~ 4@$/ى؉?PDN?@  m۶m;@ D ~ $@$/}˷|˷?PDNG@ ~ @$/?PDNM@ 6 ?T$h||~~~$`$Jbbbbbb>@&( O v  <NMM?x]`x   IMCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??3`  `  ` ` <P$(  r  0ئ  @ }]ئ <Total Shifting<Urr  0(  @W](  < Idle Time<< i3d23 M NM4  3QQ ;Q ;Q3_4E4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FA1S 5 3OU 3*?#M43*N@#M4% | ,sM3O~&Q &Percent Smoothing'4523  NM43d" 444 eee xp  6NMM? 0@]`X  I"X??3`  `  `  i3d23 M NM4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FAS 5 3O + 3*?#M43*#M! M4% S| ,sM3O~& Q &Percent Smoothing'4% ]iMZ3O@& Q  Idle Time'4523  NM43d" 444 eee >@  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()d@A@A@A@A@A@A@A@A@A@A"d,,??U} } } } } I} } I} } I} } I} } I} } I} } I} }  #} } } ,((T0(b (b (b ( ( ( (b (b  (! (  (b  (b! ( (b ( (i@ (!(K@{ (((b(((((Z@((((( To->P E R I O D Original0' From ~ ?~ @~ @~  @ ~  @ ~  @~ @ Demand0'~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@'~ ?+D@D +!@D +D  +D   + D   + D *D  9I@ D  0@?@@@@'~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#$Simult.%&Sequen.'~ @+D +>@D +D  + D   + D   + D *D  9>@D  0@@@?@@Shifting#$#Shifting %#Idle&#Shifting '#Idle P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost#$,@II,@I' E~ @+D +D +9@D  + D   + D   + D * D  99@D  0@@@@@?,1!@"ee B~ *@ #$&@I@I"@I$@' R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease #$ @I$@I@I.@' I~ @  +D   +D   +D   +(@ D   + D   + D   *D  9 (@D   DD@ E!@* EEEE,I@( <@ D DB(  DD B# I@ %  !# $@I.@I@I4@' O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 6 Fp@6>@(  D D B( 4@ D D B# >@ %  !# $@I4@II9@' D~ @  + D   + D   + D   + D   +A@ D   + D   *D  9 A@ D  6 F@69@(  D D B( @ D D B# 9@ %  !# $I9@% &' ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 6 F@6(@(  D D B( *@ D D B# (@ %  !/' ~ @  + D  + D  + D  + D  + D  +6@ D  * D 9 6@ D  6 F@6A@( 6@ D D B( D D B# A@ %  !/'~ ?~ @~ @ ~  @ ~  @ ~ (@~ 6F0@66@(DD B((@D DB# 6@ %!/'~ @+ D+ D+ D + D  + D  + D*6@ D 96@ D 6GHHHHH-6@6@(DDB(DDB# 6@ %!'FModified Demand-> D@D<C@D9@D (@ D  A@ D  6@ D6@D LTotal Shifting:J!@ D#D@ % #<C@ % #9@ % #(@ % #A@ % #6@ % #6@ % #`h@ % Change#Y@ % 20 ~ ?~  ?!~ !?!~ !?!~  !? !~  !? !!!!,M2@D A $?????????? ??~ A2@  S~ @ 54~ 4?4~ 4?4~  4? 4~  4? 4~  4?446ND S 4?$???????????~ B  H~ @7~ ?~  ? ~  ? ~  ?~ ? 6ND S@@*@?@?@?@?@?B  I~ @~ 7?~  ? ~  ? ~  ?~ ? 6N@D I ~ ? ????B@  F~ @~ 7?~ ? ~  ? ~  ?~ ? 6Nn+@D G ?? ???Bn+@  T~ @~ 7?~ ?~ ? ~  ?~ ? 6NJ @D N ??? ??BJ @ ~ @~ 8?~ ?~ ?~  ? ~ ? -OϢ?D ???? ~ ?CϢ? F# Available ->,ʴD@eeB,C@eeB,)9@eeB, h4@ ee B , :@@ ee B , S6@ ee B,i6@eeB#,ʴD@eeB,C@eeB,)9@eeB,h4@eeB,:@@eeB,S6@eeB,i6@eeB Idle ->!2Hr DD2!2( DD2!2= DD2! 2v!@ D D  2! 2` D D  2! 2= D D 2!22? DD # Total Idle:#K#@ %!Hr DD!( DD!= DD!v!@ DD!` DD!= DD!2? DD##@# %m~ A@F#2#(&3@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB 2#(DDB(0b@DDB(+@DDB(*@DDB(DDB((@DDB(DDB#T@  %&/!؄؉?DDNDV4lL'U(u{eQEJz37'EGG5J/Jz (T0!(b"(b#(b$('((()(b*(b+( #!#"#""Cost of shifting one unit"~ "@"!"m:@ D"D###Cost of one idle unit#~ #?#!##@$ D#D$#!$>B@ D"D#'#'2@2@ '(#(&@@&@ ()#)"@$@"@ )*#*@D@@ *+#+K@ +""EBBBB8`  (   p  6NMM? d(#]`8  I"8??3` >` >` >` ><p,$( 3f3f3 ,r , 0t  @~ ]t <Sequential Management<rr , 0Ľ  @!+ ]Ľ\ <Simulataneous Management<q3d23 M NM4 3Q ;%%  Simult. IdleQ ; %%Q ; $$Q3_4E4 3Q ;''  Sequen. IdleQ ; ''Q ; &&Q3_ NM   d43_ NM   d43_ NM   d4E4D $% M 3O&Q4$% M 3O&Q4FA< 3O3 3*#M43*#M4%  ZM3Oz&Q (Amount of Shifting'4% [MZ3O@&Q  Idle Time'4523  NM43d" 444eee xp  6NMM? N0] `0  I"0??3` >Y` >Yqп3d23 M NM4 3QQ ;'+Q ;'+Q3_4E4D $% M 3O&Q4$% M 3O&Q4FAL- ' 3OS 3*#M43*#M! M4523  O43d"  -3O % M3OQ443_ M NM ] MM<4444eee > @''' I  dMbP?_*+%"??U>@ SummaryInformation(%DocumentSummaryInformation8)_998383130!/ F`MS4 VoS4Ole 1@v ՜.+,D՜.+,h$ PXd lt| 31  Basic ModelDemand ManagementSmoothing IndexShift Scheduling SimultaneousSheet3  Worksheets 6> _PID_GUIDAN{ACAB97E1-F4CF-11D2-8D19-00E09803264D} FMicrosoft Excel WorksheetBiff8Excel.Sheet.89q Oh+'0@H\p  Avi Dechter Avi DechterMicrosoft Excel@=WCompObj2fObjInfo4WorkbookK.SummaryInformation( 5wy IBa= <=Zy8X1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial1~Arial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0;\-0;;@\l 0;\-0;;@                + ) , *    # "  ( "8@@ "8 @ "8@ "8  "8  ( #8@@ #8@ #8  @ " #8 @ #8 #8 "8""@ @ "8" @ "8 "< @ "< @   @  #8UU@ @     ,UU@ @  $""    # #8 #8@   (@  ( @ "8 " @  (@@  (@  (  @  (  ( #8  (  "@ @  "@  " @  @@  @  @   @    "<""@ @ "" solver_preư>" solver_preư>" solver_preư> solver_rel1 solver_rel1 solver_rel1 solver_rel1 solver_rel2 solver_rel2 solver_rel2 solver_rel2 solver_rel3 solver_rel3 solver_rel3 solver_rel4 solver_rel4 solver_rel4 solver_rel5 solver_rel5 solver_rel5 solver_rel6 solver_rel6 solver_rel6 solver_rel7 solver_rel7 solver_rel7 solver_rhs1# solver_rhs1# solver_rhs1# solver_rhs1#% solver_rhs2; ! solver_rhs2:% solver_rhs2;% solver_rhs2; % solver_rhs3; solver_rhs3# solver_rhs3#% solver_rhs4;% solver_rhs4;% solver_rhs4;% solver_rhs5; % solver_rhs5; ! solver_rhs5:% solver_rhs6;% solver_rhs6;% solver_rhs6;! solver_rhs7:! solver_rhs7:! solver_rhs7: solver_scl solver_scl solver_scl solver_scl solver_sho solver_sho solver_sho solver_sho solver_timd solver_timd solver_timd solver_timd" solver_tol?" solver_tol?" solver_tol?" solver_tol? solver_typ solver_typ solver_typ solver_typ solver_val solver_val solver_val solver_val\ 3  @@  t}8To->P E R I O DOriginalFromDemandCostPERIODModified Demand-> Increase-> Decrease->Change Max ChangeShiftingIncreaseDecreaseTotalSmoothing Index: P e r i o dPeriodSHFT Total Idle Demand -> Assigned Available ->Idle -> IdleAGNTotal Shifting: Total Idle:Simult.Sequen.Demand-> Modified Shifting->Total SmootingIndex-> Scheduled ->Cost of shifting one unitCost of one idle unit Smoothed Original DemandMaximally SmoothedPartially SmoothedPercent Smoothing:2$ c$P$h %_N%;l%|r%@b\b6bTb b~z@@ T0>@?Н0 ? b*W@`T0bwwbt[@`T0bip0bbHdbН0@\bl0T0bt00AAzm00b E000bbb߿0b0bt0bsolver_val7ent0]4bXwaab 0lb|bhbXwyb]y4]Xwx?{`T0!? ?b*W`T08b`<wb@P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#Y~ Y~ ?Y~ @ Y~  @ Y~  @ Y~ '@Y~ @0?@@@@@#~ ?Z<@D [ZD [Z@?D [ Z'0@D  [ Z@ D  [ Z D [\D [I@ D  0@?@@@@#]~ @]~ ]~ ? ]~  @ ]~  @ ]~ '@]~ @0@@?@@@#~ @ZD [ZI;;@D [Z%&@D [ Z D  [ Z D  [ Z D [\D [>@D  0@@@?@@Shifting# P ]~ @]~ @]~  ]~  ? ]~  @ ]~ '@]~ @0@@@@?@ Cost  ~ !T@$"/PD!N~ # E~ @ZD [ZD [Z}8@D [ Z D  [ Z D  [ Z D [\ D [9@D  0@@@@@?,1 V@ee B  ~ !Q@$"/ii?"PD!N~ #@ R ]~ @]~ @]~ @ ]~   ]~  ? ]~ '@]~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"/ii? "PD!N~ #@ I~ @  ZD  [ ZD  [ ZD  [ Z(@ D  [ Z D  [ Z D  [ \D  [ (@D   @ @? '0@ @ I@( <@ D DB(  DD B# sH@ %  ~ !I@$ "/ى؉? "PD !N~ #"@ O ]~ @ ]~ @ ]~ @ ]~ @ ]~  ]~ '? ]~ @ ~  I;;@ %&@$ >@(  D D B( 4@ D D B# >@  %  ~ !D@$ "/ii? "PD !N~ #,@ D~ @  Z D  [ Z D  [ Z D  [ Z D  [ ZJ6@ D  [ Z@ D  [ \@D  [ A@ D    }8@$ 9@(  D D B( @ D D B# }8@  %  ~ !>@$ "/5H4H? "PD !N~ #5@ ]~ '@ ]~ '@ ]~ '@ ]~ '@ ]~ '@ ]~ ' ]~ '? 6 (@(@(  D D B( *@ D D B# (@  %  ~ !4@$ "/ى؉? "PD !N~ #?@ ~ @  Z D [ Z D [ Z D [ Z D [ Z D [ Z6@ D [ \ D ^ 6@ D   J6@~ @ @~ A@( 6@ D D B( D D B# @@ %  ~ !$@$ "/}˷|˷?"PD !N~ #G@]~ ?]~ @]~ @ ]~  @ ]~  @ ]~ (@]~ 66@6@(DD B((@D DB#6@ % ~ !@$"/?"PD!N~ #M@~ @Z D[Z D[Z D[ Z D [ Z D [ Z D[\6@ D[6@ D 66@6@(DDB(DDB#6@  % # Smoothed $4Total Demand-><@DI;;@DvB<@D '<@ D  H <@"D  <@D/:@D Shifting->_ V@ D #<@ % #I;;@ % #vB<@ % #'<@ % #H <@ % #<@ % #/:@ % #`h@ % Change#Y@ % 00  Increase->( -?DDB!(!DDB!(!>DDB!( ! D DB !( ! D D B !( !D D B!(!DD B,Smooting ( ?DDB(!DDB(!DDB(!DDB(!DDB(!DDB("DDBChange  Decrease->($DDB%(%>DDB%(% DDB%( %ʺ= DD B %( %d= D D B %( %=D D B%(%-?D DB-Index->#.P@  % ($DDB(%DDB(%DDB(%DDB(%DDB(%DDB(&?DDB#@ % 0#0<@<@<@<@<@<@;@#`h@ %N D#D#D#D#D#D#D#>+0q6;xWHHHHHH $T0!$b # !#DT(  Tp T 6NMM?$09,@]`  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()dM`k. PM`kqU"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  #} I} "$$T0$b $b $b $ $ $ $b $b  $! $  $b  $b! $ $b $ $@ $1$K@{0$ $0$b$$$b${$$z0$b$b To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@#~ ?+JC@D +,m!@D +@D  +D   + D   +D *D I@ D  0@?@@@@#~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#~ @+D +>@D +D  + D   + D   + D *D >@D  0@@@?@@Shifting# P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost  ~ !T@$"/PD!N~ # E~ @+D +D +E 2@D  +R@ D   + D   + D * D 9@D  0@@@@@?,1?@ee B  ~ !Q@$"/ii?"PD!N~ #@ R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"/ii? "PD!N~ #@ I~ @  +D   +D   +D   +(@ D   + D   + D   *D   (@D   JC@ ,m!@$ @ I@Z ( <@ D DB(  DD B# H@ %  ~ !I@$ "/ى؉? "PD !N~ #"@ O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 0 p@ >@ Z (  D D B( 4@ D D B# >@  %  ~ !D@$ "/ii? "PD !N~ #,@ D~ @  + D   + D   + D   + D   +9@ D   + @ D   *@D   A@ D    E 2@ R@  9@ Z (  D D B( @ D D B# J9@  %  ~ !>@$ "/5H4H? "PD !N~ #5@ ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 0 (@ (@ Z (  D D B( *@ D D B# (@  %  ~ !4@$ "/ى؉? "PD !N~ #?@ ~ @  + D  + D  + D  + D  + D  +6@ D  * D ) 6@ D   9@  @ @ A@Z ( 6@ D D B( D D B# @@@ %  ~ !$@$ "/}˷|˷?"PD !N~ #G@~ ?~ @~ @ ~  @ ~  @ ~ (@~ 00@6@Z(DD B((@D DB#6@ % ~ !@$"/?"PD!N~ #M@~ @+ D+ D+ D + D  + D  + D*5@ D6@ D *5@6@ Z(DDB(DDB#5@  % # Modified $4Total Demand->JC@DK[C@DE 4@D T2@ D  9@"D  9@D`9@D Shifting->0?@ D #JC@ % #K[C@ % #E 4@ % #T2@ % #9@ % #9@ % #`9@ % #`h@ % sChange#Y@ % 00  Increase->( h*@DDB!(!DDB!(!DDB!( ! D DB !( ! (@ D D B !( ! g=D D B!(!DD B,Smooting  ])@!!!!Z(@!"Change Max Change Decrease->&$DDB%(%=DDB%(%p2@ DDB%( % jH? DD B %( % D D B %( %D D B%(%Ԑ>D DB-Index->#.vwD@  % $%% 2@%;E?%%&#%D@ %~ D@0#'C@ DDD'JC@DDD'14@DDD'F2@DDD' 9@DDD'9@DDD'9@DDD D#0#0I@>@9@(@A@6@6@ 0#0D@A@>@>@4@4@4@ 0#C@JC@14@F2@ 9@9@9@ D#D#D#D#@,Dq6bxTqHxxHHH $T0!$b # !#D8  ( @A@A p  6NMM?$09,@]`  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee xp  6NMM?%]`  I"??3` >Y` >Yqп3d23 M NM4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4D $% M 3O&Q4$% M 3O&Q4FAL-' ' 3OS 3 b#M43*#M! M4523  O43"  }3O }% M3OQ44444eee > @ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d ook1  "dX??U} } I}   T0 b b b    b@ b   b b @ b    {PPPP P e r i o dPPP P0Q?Q@Q@Q@Q@Q@Q@RTotal   Original Demand0I@>@9@(@A@6@6@#`h@ %   Increase(<@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB#I@ %   Decrease(DDB(4@DDB(@DDB(*@DDB(DDB((@DDB(DDB#I@ %   SSSSSSSTSmoothing Index:SI@D   `Percent Smoothing:/a DDDD    `a Maximally Smoothed0<@<@<@<@<@<@;@#`h@ %    Increase( ? DDB(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB# ? %    Decrease(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB( ? DDB# ? %    SSSSSSS TSmoothing Index: S? D     `Percent Smoothing:/ a?DD DD    `a Partially Smoothed0>@A@>@A@9@4@4@#`h@  %   Increase($@DDB(@DDB(DDB(@DDB(DDB(DDB(DDB#4@ %   Decrease(DDB(DDB(@DDB(DDB($@DDB(@DDB(DDB#4@ %SSSSSSSTSmoothing Index:S4@D`Percent Smoothing:/a? DDDD *ghB`dz"dz"pT0X(  Xv X <NMM?]`&]    I" ??3` >Y` >Y` >Yqп3d23 M NM4 3Q: "Original DemandQ ;QQ3_  NM  d4E4 3Q: (Maximally SmoothedQ ;QQ3_  NM  d4E4 3Q: (Partially SmoothedQ ;QQ3_  NM  d4E4D $% M 3O&Q4$% M 3O&Q4FA- 3O) 3 b#M43*$@J@#M! M4% 0 ~JM3O.&Q Period'4% [MZ3O5&Q Denand'43" G 83OG % M3OQ44444eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d A2>$ ee@"dX??U} m}  } $} }   T0 b  @b Zb@     b b    K@b b! 0 b    {   b   bPeriod 0?@@@@@@   Demand -> 0<@<@<@<@<@<@;@  Assigned    *?:?;?;?;?;? ;<  U@    S~ @7$????? =  V@    H~ @ 7$????=?  V)@    I@7? ???=?  V@    F@7?? ??=?  V@    T @7???  ?=?  V`@   $ @8???? ~ >?  W'%@ # YC@ % >     Scheduled ->, <@ e e B, <@ e e B, ;@ e e B, 3<@ e e B, ;@ e e B, ;@ e e B, :@ e e B  3 Total Idle    Idle ->! 2=  D D! 2=  D D! 2  D D! 2̜=  D D! 2m  D D! 2  D D! 2̔ D D 2# X % N    IdleShifting ~ T@$/ PDN9@ ~ Q@$/ii?PDN4@@ ~ N@$/ii?PDN.@@ ~ I@$/ى؉?PDN$@"@ ~ D@$/ii?PDN,@ ~ >@$/5H4H?PDN5@ # `h@ %~ 4@$/ى؉?PDN?@  m۶m;@ D ~ $@$/}˷|˷?PDNG@ ~ @$/?PDNM@ 6 ?T$h||~~~$`$Jbbbbbb>@&( O v  <NMM?x]`x   IMCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??3`  `  ` ` <P$(  r  0ئ  @ }]ئ <Total Shifting<Urr  0(  @W](  < Idle Time<< i3d23 M NM4  3QQ ;Q ;Q3_4E4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FA1S 5 3OU 3*?#M43*N@#M4% | ,sM3O~&Q &Percent Smoothing'4523  NM43d" 444 eee xp  6NMM? 0@]`X  I"X??3`  `  `  i3d23 M NM4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FAS 5 3O + 3*?#M43*#M! M4% S| ,sM3O~& Q &Percent Smoothing'4% ]iMZ3O@& Q  Idle Time'4523  NM43d" 444 eee >@  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()d@A@A@A@A@A@A@A@A@A@A"d,,??U} } } } } I} } I} } I} } I} } I} } I} } I} }  #} } } ,((T0(b (b (b ( ( ( (b (b  (! (  (b  (b! ( (b ( (i@ (!(K@{ (((b(((b((Zb@O(b (b0((b( To->P E R I O D Original0' From ~ ?~ @~ @~  @ ~  @ ~  @~ @ Demand0'~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@'~ ?+D@D +!@D +D  +D   + D   + D *D  9I@ D  0@?@@@@'~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#$Simult.%&Sequen.'~ @+D +>@D +D  + D   + D   + D *D  9>@D  0@@@?@@Shifting#$#Shifting %#Idle&#Shifting '#Idle P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost#$,@II,@I' E~ @+D +D +9@D  + D   + D   + D * D  99@D  0@@@@@?,1!@"ee B~ *@ #$&@I@I"@I$@' R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease #$ @I$@I@I.@' I~ @  +D   +D   +D   +(@ D   + D   + D   *D  9 (@D   DD@ E!@* EEEE,I@( <@ D DB(  DD B# I@ %  !# $@I.@I@I4@' O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 6 Fp@6>@(  D D B( 4@ D D B# >@ %  !# $@I4@II9@' D~ @  + D   + D   + D   + D   +A@ D   + D   *D  9 A@ D  6 F@69@(  D D B( @ D D B# 9@ %  !# $I9@% &' ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 6 F@6(@(  D D B( *@ D D B# (@ %  !/' ~ @  + D  + D  + D  + D  + D  +6@ D  * D 9 6@ D  6 F@6A@( 6@ D D B( D D B# A@ %  !/'~ ?~ @~ @ ~  @ ~  @ ~ (@~ 6F0@66@(DD B((@D DB# 6@ %!/'~ @+ D+ D+ D + D  + D  + D*6@ D 96@ D 6GHHHHH-6@6@(DDB(DDB# 6@ %!'FModified Demand-> D@D<C@D9@D (@ D  A@ D  6@ D6@D LTotal Shifting:J!@ D#D@ % #<C@ % #9@ % #(@ % #A@ % #6@ % #6@ % #`h@ % Change#Y@ % 20 ~ ?~  ?!~ !?!~ !?!~  !? !~  !? !!!!,M2@D A $?????????? ??~ A2@  S~ @ 54~ 4?4~ 4?4~  4? 4~  4? 4~  4?446ND S 4?$???????????~ B  H~ @7~ ?~  ? ~  ? ~  ?~ ? 6ND S@@*@?@?@?@?@?B  I~ @~ 7?~  ? ~  ? ~  ?~ ? 6N@D I ~ ? ????B@  F~ @~ 7?~ ? ~  ? ~  ?~ ? 6Nn+@D G ?? ???Bn+@  T~ @~ 7?~ ?~ ? ~  ?~ ? 6NJ @D N ??? ??BJ @ ~ @~ 8?~ ?~ ?~  ? ~ ? -OϢ?D ???? ~ ?CϢ? F# Available ->,ʴD@eeB,C@eeB,)9@eeB, h4@ ee B , :@@ ee B , S6@ ee B,i6@eeB#,ʴD@eeB,C@eeB,)9@eeB,h4@eeB,:@@eeB,S6@eeB,i6@eeB Idle ->!2Hr DD2!2( DD2!2= DD2! 2v!@ D D  2! 2` D D  2! 2= D D 2!22? DD # Total Idle:#K#@ %!Hr DD!( DD!= DD!v!@ DD!` DD!= DD!2? DD##@# %m~ A@F#2#(&3@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB 2#(DDB(0b@DDB(+@DDB(*@DDB(DDB((@DDB(DDB#T@  %&/!؄؉?DDNDV4lL'U(u{eQEJz37'EGG5J/Jz (T0!(b"(b#(b$('((()(b*(b+( #!#"#""Cost of shifting one unit"~ "@"!"m:@ D"D###Cost of one idle unit#~ #?#!##@$ D#D$#!$>B@ D"D#'#'2@2@ '(#(&@@&@ ()#)"@$@"@ )*#*@D@@ *+#+K@ +""EBBBB8`  (   p  6NMM? d(#]`8  I"8??3` >` >` >` ><p,$( 3f3f3 ,r , 0t  @~ ]t <Sequential Management<rr , 0Ľ  @!+ ]Ľ\ <Simulataneous Management<q3d23 M NM4 3Q ;%%  Simult. IdleQ ; %%Q ; $$Q3_4E4 3Q ;''  Sequen. IdleQ ; ''Q ; &&Q3_ NM   d43_ NM   d43_ NM   d4E4D $% M 3O&Q4$% M 3O&Q4FA< 3O3 3*#M43*#M4%  ZM3Oz&Q (Amount of Shifting'4% [MZ3O@&Q  Idle Time'4523  NM43d" 444eee xp  6NMM? N0] `0  I"0??3` >Y` >Yqп3d23 M NM4 3QQ ;'+Q ;'+Q3_4E4D $% M 3O&Q4$% M 3O&Q4FAL- ' 3OS 3*#M43*#M! M4523  O43d"  -3O % M3OQ443_ M NM ] MM<4444eee > @''' I  dMbP?_*+%"??U>@ @v ՜.+,D՜.+,h$ PXd lt| 31  Basic ModelDemand ManagementSmoothing IndexShift Scheduling SimultaneousSheet3  Worksheets 6> _PID_GUIDAN{ACAB97E1DocumentSummaryInformation89_993286203(# F VoS4S4Ole ACompObj"%Bf-F4CF-11D2-8D19-00E09803264D} FMicrosoft Excel WorksheetBiff8Excel.Sheet.89q Oh+'0@H\p  Avi Dechter Avi DechterMicrosoft Excel@=WObjInfoDWorkbook$&SummaryInformation('EDocumentSummaryInformation8I      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvx z ~ IBa= < =ZI8X1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0;\-0;;@\l 0;\-0;;@                + ) , *    # "  ( "8@@ "8 @ "8@ "8  "8  ( #8@@ #8@ #8  @ " #8 @ #8 #8 "8""@ @ "8" @ "8 "< @ "< @     @  #8UU@ @     ,UU@ @  $""    # #8 #8@   (@  ( @ "8 " @  (@@  (@  (  @  (  ( #8  (  "@ @  "@  " @  @@  @  @   @    "<""@ @ "" solver_preư>" solver_preư>" solver_preư> solver_rel1 solver_rel1 solver_rel1 solver_rel1 solver_rel2 solver_rel2 solver_rel2 solver_rel2 solver_rel3 solver_rel3 solver_rel3 solver_rel4 solver_rel4 solver_rel4 solver_rel5 solver_rel5 solver_rel5 solver_rel6 solver_rel6 solver_rel6 solver_rel7 solver_rel7 solver_rel7 solver_rhs1# solver_rhs1# solver_rhs1# solver_rhs1#% solver_rhs2; ! solver_rhs2:% solver_rhs2;% solver_rhs2; % solver_rhs3; solver_rhs3# solver_rhs3#% solver_rhs4;% solver_rhs4;% solver_rhs4;% solver_rhs5; % solver_rhs5; ! solver_rhs5:% solver_rhs6;% solver_rhs6;% solver_rhs6;! solver_rhs7:! solver_rhs7:! solver_rhs7: solver_scl solver_scl solver_scl solver_scl solver_sho solver_sho solver_sho solver_sho solver_timd solver_timd solver_timd solver_timd" solver_tol?" solver_tol?" solver_tol?" solver_tol? solver_typ solver_typ solver_typ solver_typ solver_val solver_val solver_val solver_valX 3  @@   v4To->P E R I O DOriginalFromDemandCostPERIODModified Demand-> Increase-> Decrease->Change Max ChangeShiftingIncreaseDecreaseTotalSmoothing Index: P e r i o dPeriodSHFT Total Idle Demand -> Assigned Available ->Idle -> IdleAGNTotal Shifting: Total Idle:Simult.Sequen.Demand-> Modified Shifting->Total ModifiedSmootingIndex-> Scheduled ->Cost of shifting one unitCost of one idle unit2" ;#P#h#_&$;lg$|r$>b\b6bTb >bzݎT0<Н0  b*W`T0󎂜bڎڎbt[`T0bip0>bb>H Н0\bl0>T0bt00AAzm00b E000bbb߿0b0>bt0bsolver_val7ent0]4bXw8B8B>b0lb|bhbXw܎P4b]܎4]XwXP5?ގ`T0"? ?b*W`T0l8b`ڎb@0$K@0$"$0$$>$+$$m$b$0$b To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@#~ ?+B@D +h@D +D  +!@D   + D   + D *D I@ D  0@?@@@@#~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#~ @+D +I>@D +D  + D   + D   + D *D >@D  0@@@?@@Shifting# P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost  ~ !T@$"0PD!N~ # E~ @+D +D +|x+@D  +L&@ D   + D   + D * D 9@D  0@@@@@?,2&?]@ee B  ~ !Q@$"0ii?"PD!N~ #@ R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"0ii? "PD!N~ #@ I~ @  +D   +D   +D   +(@ D   + D   + D   *D   (@D   B@ h@~  !@ I@( <@ D DB(  DD B# @H@ %  ~ !I@$ "0ى؉? "PD !N~ #"@ O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ ~  I>@* >@(  D D B( 4@ D D B# I>@  %  ~ !D@$ "0ii? "PD !N~ #,@ D~ @  + D   + D   + D   + D   + 4@ D   + D   *++@D   A@ D    |x+@ L&@ 9@(  D D B( @ D D B# !9@  %  ~ !>@$ "05H4H? "PD !N~ #5@ ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 6 @(@(  D D B( *@ D D B# (@  %  ~ !4@$ "0ى؉? "PD !N~ #?@ ~ @  +h? D  + D  + D  + D  + D  + 4@ D  * D ) 6@ D    4@~  ++@~ A@( 6@ D D B( D D B# .@@ %  ~ !$@$ "0}˷|˷?"PD !N~ #G@~ ?~ @~ @ ~  @ ~  @ ~ (@~ h? 4@6@(DD B((@D DB#6@ % ~ !@$"0?"PD!N~ #M@~ @+ D+ D+2/@ D + D  + D  + D* @ D6@ D 2/@ @~ 6@(DDB(DDB#j6@  % # Modified $5Total Demand->C@DA@D=@D  .>@ D   4@"D   4@D3@D Shifting->1&?]@ D #C@ % #A@ % #=@ % # .>@ % # 4@ % # 4@ % #3@ % #`h@ % Change#Y@ % 00  Increase->( 03@DDB!(!DDB!(!DDB!( !P> D DB !( ! D D B !( !=D D B!(!DD B-Smooting ( 4@DDB(!DDB(!DDB(!DDB(!DDB(!DDB("DDBChange  Decrease->($DDB%(%P@DDB%(%@ DDB%( % DD B %( %,I$@ D D B %( %D D B%(%=D DB.Index->#/>D@  % ($DDB(%@DDB(%@DDB(%DDB(%$@DDB(%DDB(&DDB#D@ % 0#0D@A@>@>@4@4@4@#`h@ %N D#D#D#D#D#D#D#>+0q6exWHHHHHH $T0!$b # !#DT(  Tp T 6NMM?$09,@]`C  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee >@   I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()dM`k. PM`kqU"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  #} I} "$$T0$b $b $b $ $ $ $b $b  $C! $>  $Cb  $bC! $ $Cb $ $C@ $CC1$K@{0$ $0$Cb$$+$Cb${$C$z0$b$b> To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@#~ ?+JC@D +,m!@D +@D  +D   + D   +D *D I@ D  0@?@@@@#~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#~ @+D +>@D +D  + D   + D   + D *D >@D  0@@@?@@Shifting# P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost  ~ !T@$"0PD!N~ # E~ @+D +D +E 2@D  +R@ D   + D   + D * D 9@D  0@@@@@?,2?@ee B  ~ !Q@$"0ii?"PD!N~ #@ R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"0ii? "PD!N~ #@ I~ @  +D   +D   +D   +(@ D   + D   + D   *D   (@D   JC@ ,m!@$ @ I@Z ( <@ D DB(  DD B# H@ %  ~ !I@$ "0ى؉? "PD !N~ #"@ O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 0 p@ >@ Z (  D D B( 4@ D D B# >@  %  ~ !D@$ "0ii? "PD !N~ #,@ D~ @  + D   + D   + D   + D   +9@ D   + @ D   *@D   A@ D    E 2@ R@  9@ Z (  D D B( @ D D B# J9@  %  ~ !>@$ "05H4H? "PD !N~ #5@ ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 0 (@ (@ Z (  D D B( *@ D D B# (@  %  ~ !4@$ "0ى؉? "PD !N~ #?@ ~ @  + D  + D  + D  + D  + D  +6@ D  * D ) 6@ D   9@  @ @ A@Z ( 6@ D D B( D D B# @@@ %  ~ !$@$ "0}˷|˷?"PD !N~ #G@~ ?~ @~ @ ~  @ ~  @ ~ (@~ 00@6@Z(DD B((@D DB#6@ % ~ !@$"0?"PD!N~ #M@~ @+ D+ D+ D + D  + D  + D*5@ D6@ D *5@6@ Z(DDB(DDB#5@  % # Modified $5Total Demand->JC@DK[C@DE 4@D T2@ D  9@"D  9@D`9@D Shifting->1?@ D #JC@ % #K[C@ % #E 4@ % #T2@ % #9@ % #9@ % #`9@ % #`h@ % sChange#Y@ % 00  Increase->( h*@DDB!(!DDB!(!DDB!( ! D DB !( ! (@ D D B !( ! g=D D B!(!DD B-Smooting  ])@!!!!Z(@!"Change Max Change Decrease->&$DDB%(%=DDB%(%p2@ DDB%( % jH? DD B %( % D D B %( %D D B%(%Ԑ>D DB.Index->#/vwD@  % $%% 2@%;E?%%&#%D@ %~ D@0#'C@ DDD'JC@DDD'14@DDD'F2@DDD' 9@DDD'9@DDD'9@DDD D#0#0I@>@9@(@A@6@6@ 0#0D@A@>@>@4@4@4@ 0#C@JC@14@F2@ 9@9@9@ D#D#D#D#@,Dq6bxTqHxxHHH $T0!$b # !#D8  ( @A@A p  6NMM?$09,@]`C  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee xp  6NMM? ]`C  I"??3` >Y` >Yqп3d23 M NM4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4D $% M 3O&Q4$% M 3O&Q4FAL-' ' 3OS 3 b#M43*#M! M4523  O43"  }3O }% M3OQ44444eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??U} } I}   T0 b b b    b b C >QQQQ P e r i o dQQQ Q0R?R@R@R@R@R@R@STotal   Original0I@>@9@(@A@6@6@#`h@ %   Increase(<@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB#I@ %   Decrease(DDB(4@DDB(@DDB(*@DDB(DDB((@DDB(DDB#I@ %   TTTTTTTUSmoothing Index:#TY@ %   , Modified0D@A@>@>@4@4@4@#`h@ %   Increase(4@DDB(DDB(DDB(DDB(DDB(DDB(DDB#4@  %    Decrease(  DDB( @ DDB( @ DDB(  DDB( $@ DDB(  DDB(  DDB# 4@  %    TTTTTTT USmoothing Index:# TD@ %   x B`l">@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )dܠ "dX??U} m}  } $} }   T0 b  @b Zb@     b b C >  KC@b bC! 0 Cb  C CC {   Cb  + Period 0?@@@@@@   Demand -> 0I@>@9@(@A@6@6@  Assigned    *?;?<?<?<?<? <=  V"@    S~ @8$????? > ~  W    H~ @ 8$????>? ~  W    I@8? ???>? ~  W    F@8?? ??>?  W8@    T @8???  ?>? ~ W   $ @9???? ~ ??  Xa/@ # DH@ % >     Scheduled ->, DH@ e e B, DH@ e e B, 9@ e e B, 9@ e e B, A@ e e B, 8@ e e B, ]D@ e e B  4 Total Idle    Idle ->! 3  D D! 3b3@  D D! 3@T=  D D! 3D5*@  D D! 3=  D D! 3(?@  D D! 32@ D D 3# YSvK@ % N    IdleShifting~ T@$0 PDN9@~ Q@$0ii?PDN4@@~ N@$0ii?PDN.@@~ I@$0ى؉?PDN$@"@~ D@$0ii?PDN,@~ >@$05H4H?PDN5@~ 4@$0ى؉?PDN?@~ $@$0}˷|˷?PDNG@~ @$0?PDNM@6 ?T$hxxz~z$`$4LLLLLLLL>0&( O v  <NMM?x]`C  IMCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??3`  `  ` ` <@$(  r  0>  @ }]>C <Total Shifting<Urr  0ء>  @W]ء>4C  < Idle Time<< i3d23 M NM4  3QQ ;Q ;Q3_4E4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FA1S 5 3OU 3*?#M43*N@#M4% | ,sM3O~&Q &Percent Smoothing'4523  NM43d" 444 eee xp  6NMM? 0@]`C  I"??3`  `  `  i3d23 M NM4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FAS 5 3O + 3*?#M43*#M! M4% B| ,sM3O~& Q &Percent Smoothing'4% ]iMZ3O@& Q  Idle Time'4523  NM43d" 444 eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()d@A@A@A@A@A@A@A@A@A@A"d,,??U} } } } } I} } I} } I} } I} } I} } I} } I} }  #} } } ,((T0(b (b (b ( ( ( (b (b  (C! (>  (Cb  (bC! ( (Cb ( (iC@ (CC!(K@(b_(b(b((+(O( (Z:@(T0T ((b(T0( To->P E R I O D Original0' From ~ ?~ @~ @~  @ ~  @ ~  @~ @ Demand0'~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@'~ ?+D@D +!@D +D  +D   + D   + D *D  :I@ D  0@?@@@@'~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#$Simult.%&Sequen.'~ @+D +>@D +D  + D   + D   + D *D  :>@D  0@@@?@@Shifting#$#Shifting %#Idle&#Shifting '#Idle P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost#$,@JJ,@J' E~ @+D +D +9@D  + D   + D   + D * D  :9@D  0@@@@@?,2!@"ee B~ *@ #$&@J@J"@J$@' R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease #$ @J$@J@J.@' I~ @  +D   +D   +D   +(@ D   + D   + D   *D  : (@D   ED@ F!@* FFFF-I@( <@ D DB(  DD B# I@ %  !# $@J.@J@J4@' O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 6 Gp@7>@(  D D B( 4@ D D B# >@ %  !# $@J4@JJ9@' D~ @  + D   + D   + D   + D   +A@ D   + D   *D  : A@ D  6 G@79@(  D D B( @ D D B# 9@ %  !# $J9@% &' ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 6 G@7(@(  D D B( *@ D D B# (@ %  !0' ~ @  + D  + D  + D  + D  + D  +6@ D  * D : 6@ D  6 G@7A@( 6@ D D B( D D B# A@ %  !0'~ ?~ @~ @ ~  @ ~  @ ~ (@~ 6G0@76@(DD B((@D DB# 6@ %!0'~ @+ D+ D+ D + D  + D  + D*6@ D :6@ D 6HIIIII.6@6@(DDB(DDB# 6@ %!'FModified Demand-> D@D<C@D9@D (@ D  A@ D  6@ D6@D MTotal Shifting:K!@ D#D@ % #<C@ % #9@ % #(@ % #A@ % #6@ % #6@ % #`h@ % Change#Y@ % 20 ~ ?~  ?!~ !?!~ !?!~  !? !~  !? !!!!-N2@D A $@?@?@?@?@? @@~ B2@  S~ @ 65~ 5?5~ 5?5~  5? 5~  5? 5~  5?557OD S 5@$@?@?@?@?@?@~ C  H~ @8~ ?~  ? ~  ? ~  ?~ ? 7OD SAA*A?A?A?A?A?C  I~ @~ 8?~  ? ~  ? ~  ?~ ? 7O@D I ~ ? ????C@  F~ @~ 8?~ ? ~  ? ~  ?~ ? 7On+@D G ?? ???Cn+@  T~ @~ 8?~ ?~ ? ~  ?~ ? 7OJ @D N ??? ??CJ @ ~ @~ 9?~ ?~ ?~  ? ~ ? .PϢ?D ???? ~ ?DϢ? F# Available ->,ʴD@eeB,C@eeB,)9@eeB, h4@ ee B , :@@ ee B , S6@ ee B,i6@eeB#,ʴD@eeB,C@eeB,)9@eeB,h4@eeB,:@@eeB,S6@eeB,i6@eeB Idle ->!3Hr DD3!3( DD3!3= DD3! 3v!@ D D  3! 3` D D  3! 3= D D 3!32? DD # Total Idle:#L#@ %!Hr DD!( DD!= DD!v!@ DD!` DD!= DD!2? DD##@# %m~ A@F#2#(&3@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB 2#(DDB(0b@DDB(+@DDB(*@DDB(DDB((@DDB(DDB#T@  %&0!؄؉?DDNDV4lL'U(u{eQEJz37'EGG5J/Jz (T0!(b"(b#(b$('((()(b*(b+(C #!#"#""Cost of shifting one unit"~ "@"!"m:@ D"D###Cost of one idle unit#~ #?#!##@$ D#D$#!$>B@ D"D#'#'2@2@ '(#(&@@&@ ()#)"@$@"@ )*#*@D@@ *+#+K@ +""EBBBB8P  (   p  6NMM? d(#]`C  I"??3` >` >` >` ><`,$( 3f3f3 ,r , 0$>  @~ ]$>dC <Sequential Management<rr , 0t>  @!+ ]t> C <Simulataneous Management<q3d23 M NM4 3Q ;%%  Simult. IdleQ ; %%Q ; $$Q3_4E4 3Q ;''  Sequen. IdleQ ; ''Q ; &&Q3_ NM   d43_ NM   d43_ NM   d4E4D $% M 3O&Q4$% M 3O&Q4FA< 3O3 3*#M43*#M4%  ZM3Oz&Q (Amount of Shifting'4% [MZ3O@&Q  Idle Time'4523  NM43d" 444eee xp  6NMM? N0] `C  I"??3` >Y` >Yqп3d23 M NM4 3QQ ;'+Q ;'+Q3_4E4D $% M 3O&Q4$% M 3O&Q4FAL- ' 3OS 3*#M43*#M! M4523  O43d"  -3O % M3OQ443_ M NM ] MM<4444eee > @''' I  dMbP?_*+%"??U>@ @v ՜.+,D՜.+,h$ PXd lt| 31  Basic ModelDemand ManagementSmoothing IndexShift Scheduling SimultaneousSheet3  Worksheets 6> _PID_GUIDAN{ACAB97E1-F4CF-11D2-8D19-00E09803264D} FMicrosoft Excel WorksheetBiff8Excel.Sheet.89q Oh+'0@H\p  Avi Dechter Avi DechterMicrosoft Excel@=W_998079902* FS4S4Ole QCompObj),RfObjInfoTWorkbook+-}SummaryInformation(.UDocumentSummaryInformation8Y_9983833041 FS4`uS4   !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~ IBa= < =ZI8X1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0;\-0;;@\l 0;\-0;;@                + ) , *    # "  ( "8@@ "8 @ "8@ "8  "8  ( #8@@ #8@ #8  @ " #8 @ #8 #8 "8""@ @ "8" @ "8 "< @ "< @     @  #8UU@ @     ,UU@ @  $""    # #8 #8@   (@  ( @ "8 " @  (@@  (@  (  @  (  ( #8  (  "@ @  "@  " @  @@  @  @   @    "<""@ @ "" solver_preư>" solver_preư>" solver_preư> solver_rel1 solver_rel1 solver_rel1 solver_rel1 solver_rel2 solver_rel2 solver_rel2 solver_rel2 solver_rel3 solver_rel3 solver_rel3 solver_rel4 solver_rel4 solver_rel4 solver_rel5 solver_rel5 solver_rel5 solver_rel6 solver_rel6 solver_rel6 solver_rel7 solver_rel7 solver_rel7 solver_rhs1# solver_rhs1# solver_rhs1# solver_rhs1#% solver_rhs2; ! solver_rhs2:% solver_rhs2;% solver_rhs2; % solver_rhs3; solver_rhs3# solver_rhs3#% solver_rhs4;% solver_rhs4;% solver_rhs4;% solver_rhs5; % solver_rhs5; ! solver_rhs5:% solver_rhs6;% solver_rhs6;% solver_rhs6;! solver_rhs7:! solver_rhs7:! solver_rhs7: solver_scl solver_scl solver_scl solver_scl solver_sho solver_sho solver_sho solver_sho solver_timd solver_timd solver_timd solver_timd" solver_tol?" solver_tol?" solver_tol?" solver_tol? solver_typ solver_typ solver_typ solver_typ solver_val solver_val solver_val solver_valX 3  @@   v4To->P E R I O DOriginalFromDemandCostPERIODModified Demand-> Increase-> Decrease->Change Max ChangeShiftingIncreaseDecreaseTotalSmoothing Index: P e r i o dPeriodSHFT Total Idle Demand -> Assigned Available ->Idle -> IdleAGNTotal Shifting: Total Idle:Simult.Sequen.Demand-> Modified Shifting->Total ModifiedSmootingIndex-> Scheduled ->Cost of shifting one unitCost of one idle unit2" ;#P#h#_&$;lg$|r$.b\b6bTb -b\8䢂@@ T0-@ ?Н0 ? b*WT0bᢂᢂbt[T0bip0-bb-HdbН02x!\bl-T0bt00AAzm00b E000bbb߿0b-bt0bsolver_val7ent0]4bXw !V !V-b,0lb|bhbXw䢂d)b]䢂4]XwC*?墂T0?? ?b*W`T0C8b`XDoᢂb@P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@#~ ?+B@D +h@D +D  +!@D   + D   + D *D I@ D  0@?@@@@#~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#~ @+D +I>@D +D  + D   + D   + D *D >@D  0@@@?@@Shifting# P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost  ~ !T@$"0PD!N~ # E~ @+D +D +|x+@D  +L&@ D   + D   + D * D 9@D  0@@@@@?,2&?]@ee B  ~ !Q@$"0ii?"PD!N~ #@ R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"0ii? "PD!N~ #@ I~ @  +D   +D   +D   +(@ D   + D   + D   *D   (@D   B@ h@~  !@ I@( <@ D DB(  DD B# @H@ %  ~ !I@$ "0ى؉? "PD !N~ #"@ O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ ~  I>@* >@(  D D B( 4@ D D B# I>@  %  ~ !D@$ "0ii? "PD !N~ #,@ D~ @  + D   + D   + D   + D   + 4@ D   + D   *++@D   A@ D    |x+@ L&@ 9@(  D D B( @ D D B# !9@  %  ~ !>@$ "05H4H? "PD !N~ #5@ ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 6 @(@(  D D B( *@ D D B# (@  %  ~ !4@$ "0ى؉? "PD !N~ #?@ ~ @  +h? D  + D  + D  + D  + D  + 4@ D  * D ) 6@ D    4@~  ++@~ A@( 6@ D D B( D D B# .@@ %  ~ !$@$ "0}˷|˷?"PD !N~ #G@~ ?~ @~ @ ~  @ ~  @ ~ (@~ h? 4@6@(DD B((@D DB#6@ % ~ !@$"0?"PD!N~ #M@~ @+ D+ D+2/@ D + D  + D  + D* @ D6@ D 2/@ @~ 6@(DDB(DDB#j6@  % # Modified $5Total Demand->C@DA@D=@D  .>@ D   4@"D   4@D3@D Shifting->1&?]@ D #C@ % #A@ % #=@ % # .>@ % # 4@ % # 4@ % #3@ % #`h@ % Change#Y@ % 00  Increase->( 03@DDB!(!DDB!(!DDB!( !P> D DB !( ! D D B !( !=D D B!(!DD B-Smooting ( 4@DDB(!DDB(!DDB(!DDB(!DDB(!DDB("DDBChange  Decrease->($DDB%(%P@DDB%(%@ DDB%( % DD B %( %,I$@ D D B %( %D D B%(%=D DB.Index->#/>D@  % ($DDB(%@DDB(%@DDB(%DDB(%$@DDB(%DDB(&DDB#D@ % 0#0D@A@>@>@4@4@4@#`h@ %N D#D#D#D#D#D#D#>+0q6exWHHHHHH $T0!$b # !#DT(  Tp T 6NMM?$09,@]`2  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee >@   I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()dM`k. PM`kqU"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  #} I} "$$T0$b $b $b $ $ $ $b $b  $2! $-  $2b  $b2! $ $2b $ $2@ $221$K@{0$ $0$2b$$[$2b${$2$z0$b$b- To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@#~ ?+JC@D +,m!@D +@D  +D   + D   +D *D I@ D  0@?@@@@#~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#~ @+D +>@D +D  + D   + D   + D *D >@D  0@@@?@@Shifting# P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost  ~ !T@$"0PD!N~ # E~ @+D +D +E 2@D  +R@ D   + D   + D * D 9@D  0@@@@@?,2?@ee B  ~ !Q@$"0ii?"PD!N~ #@ R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"0ii? "PD!N~ #@ I~ @  +D   +D   +D   +(@ D   + D   + D   *D   (@D   JC@ ,m!@$ @ I@Z ( <@ D DB(  DD B# H@ %  ~ !I@$ "0ى؉? "PD !N~ #"@ O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 0 p@ >@ Z (  D D B( 4@ D D B# >@  %  ~ !D@$ "0ii? "PD !N~ #,@ D~ @  + D   + D   + D   + D   +9@ D   + @ D   *@D   A@ D    E 2@ R@  9@ Z (  D D B( @ D D B# J9@  %  ~ !>@$ "05H4H? "PD !N~ #5@ ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 0 (@ (@ Z (  D D B( *@ D D B# (@  %  ~ !4@$ "0ى؉? "PD !N~ #?@ ~ @  + D  + D  + D  + D  + D  +6@ D  * D ) 6@ D   9@  @ @ A@Z ( 6@ D D B( D D B# @@@ %  ~ !$@$ "0}˷|˷?"PD !N~ #G@~ ?~ @~ @ ~  @ ~  @ ~ (@~ 00@6@Z(DD B((@D DB#6@ % ~ !@$"0?"PD!N~ #M@~ @+ D+ D+ D + D  + D  + D*5@ D6@ D *5@6@ Z(DDB(DDB#5@  % # Modified $5Total Demand->JC@DK[C@DE 4@D T2@ D  9@"D  9@D`9@D Shifting->1?@ D #JC@ % #K[C@ % #E 4@ % #T2@ % #9@ % #9@ % #`9@ % #`h@ % sChange#Y@ % 00  Increase->( h*@DDB!(!DDB!(!DDB!( ! D DB !( ! (@ D D B !( ! g=D D B!(!DD B-Smooting  ])@!!!!Z(@!"Change Max Change Decrease->&$DDB%(%=DDB%(%p2@ DDB%( % jH? DD B %( % D D B %( %D D B%(%Ԑ>D DB.Index->#/vwD@  % $%% 2@%;E?%%&#%D@ %~ D@0#'C@ DDD'JC@DDD'14@DDD'F2@DDD' 9@DDD'9@DDD'9@DDD D#0#0I@>@9@(@A@6@6@ 0#0D@A@>@>@4@4@4@ 0#C@JC@14@F2@ 9@9@9@ D#D#D#D#@,Dq6bxTqHxxHHH $T0!$b # !#D8  ( @A@A p  6NMM?$09,@]`2  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee xp  6NMM? ]`2  I"??3` >Y` >Yqп3d23 M NM4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4D $% M 3O&Q4$% M 3O&Q4FA+-H ' 3OS 3 b#M43*#M! M4523  O43"  }3O }% M3OQ44444eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??U} } I}   T0 b b b    b b 2 -QQQQ P e r i o dQQQ Q0R?R@R@R@R@R@R@STotal   Original0I@>@9@(@A@6@6@#`h@ %   Increase(<@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB#I@ %   Decrease(DDB(4@DDB(@DDB(*@DDB(DDB((@DDB(DDB#I@ %   TTTTTTTUSmoothing Index:#TY@ %   , Modified0D@A@>@>@4@4@4@#`h@ %   Increase(4@DDB(DDB(DDB(DDB(DDB(DDB(DDB#4@  %    Decrease(  DDB( @ DDB( @ DDB(  DDB( $@ DDB(  DDB(  DDB# 4@  %    TTTTTTT USmoothing Index:# TD@ %   x B`l">@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d A2>$ ee@"dX??U} m}  } $} }   T0 b  @b Zb@     b b 2 -  K2@b b2! 0 2b  2 22  bO b b  [ OPeriod 0?@@@@@@   Demand -> 0<@<@<@<@<@<@;@  Assigned    *?;?<?<?<?<? <=  V@    S~ @8$????? >  W@    H~ @ 8$????>?  W)@    I@8? ???>?  W@    F@8?? ??>?  W@    T @8???  ?>?  W`@   $ @9???? ~ ??  X'%@ # YC@ % >     Scheduled ->, <@ e e B, <@ e e B, ;@ e e B, 3<@ e e B, ;@ e e B, ;@ e e B, :@ e e B  4 Total Idle    Idle ->! 3=  D D! 3=  D D! 3  D D! 3̜=  D D! 3m  D D! 3  D D! 3̔ D D 3# Y % N    IdleShifting ~ T@$0 PDN9@ ~ Q@$0ii?PDN4@@ ~ N@$0ii?PDN.@@ ~ I@$0ى؉?PDN$@"@ ~ D@$0ii?PDN,@ ~ >@$05H4H?PDN5@ # `h@ %~ 4@$0ى؉?PDN?@  m۶m;@ D ~ $@$0}˷|˷?PDNG@ ~ @$0?PDNM@ 6 ?T$h||~~~$`$Jbbbbbb>0&( O v  <NMM?x]`2  IMCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??3`  `  ` ` <@$(  r  0$-  @ }]$-2 <Total Shifting<Urr  0t-  @W]t-42  < Idle Time<< i3d23 M NM4  3QQ ;Q ;Q3_4E4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FA1S 5 3OU 3*?#M43*N@#M4% | ,sM3O~&Q &Percent Smoothing'4523  NM43d" 444 eee xp  6NMM? 0@]`2  I"??3`  `  `  i3d23 M NM4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FAS 5 3O + 3*?#M43*#M! M4% B| ,sM3O~& Q &Percent Smoothing'4% ]iMZ3O@& Q  Idle Time'4523  NM43d" 444 eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()d@A@A@A@A@A@A@A@A@A@A"d,,??U} } } } } I} } I} } I} } I} } I} } I} } I} }  #} } } ,((T0(b (b (b ( ( ( (b (b  (2! (-  (2b  (b2! ( (2b ( (i2@ (22!(K@{ (((2b(([(2b({ (Z2@(z0 (21(b(T0( To->P E R I O D Original0' From ~ ?~ @~ @~  @ ~  @ ~  @~ @ Demand0'~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@'~ ?+D@D +!@D +D  +D   + D   + D *D  :I@ D  0@?@@@@'~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#$Simult.%&Sequen.'~ @+D +>@D +D  + D   + D   + D *D  :>@D  0@@@?@@Shifting#$#Shifting %#Idle&#Shifting '#Idle P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost#$,@JJ,@J' E~ @+D +D +9@D  + D   + D   + D * D  :9@D  0@@@@@?,2!@"ee B~ *@ #$&@J@J"@J$@' R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease #$ @J$@J@J.@' I~ @  +D   +D   +D   +(@ D   + D   + D   *D  : (@D   ED@ F!@* FFFF-I@( <@ D DB(  DD B# I@ %  !# $@J.@J@J4@' O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 6 Gp@7>@(  D D B( 4@ D D B# >@ %  !# $@J4@JJ9@' D~ @  + D   + D   + D   + D   +A@ D   + D   *D  : A@ D  6 G@79@(  D D B( @ D D B# 9@ %  !# $J9@% &' ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 6 G@7(@(  D D B( *@ D D B# (@ %  !0' ~ @  + D  + D  + D  + D  + D  +6@ D  * D : 6@ D  6 G@7A@( 6@ D D B( D D B# A@ %  !0'~ ?~ @~ @ ~  @ ~  @ ~ (@~ 6G0@76@(DD B((@D DB# 6@ %!0'~ @+ D+ D+ D + D  + D  + D*6@ D :6@ D 6HIIIII.6@6@(DDB(DDB# 6@ %!'FModified Demand-> D@D<C@D9@D (@ D  A@ D  6@ D6@D MTotal Shifting:K!@ D#D@ % #<C@ % #9@ % #(@ % #A@ % #6@ % #6@ % #`h@ % Change#Y@ % 20 ~ ?~  ?!~ !?!~ !?!~  !? !~  !? !!!!-N2@D A $@?@?@?@?@? @@~ B2@  S~ @ 65~ 5?5~ 5?5~  5? 5~  5? 5~  5?557OD S 5@$@?@?@?@?@?@~ C  H~ @8~ ?~  ? ~  ? ~  ?~ ? 7OD SAA*A?A?A?A?A?C  I~ @~ 8?~  ? ~  ? ~  ?~ ? 7O@D I ~ ? ????C@  F~ @~ 8?~ ? ~  ? ~  ?~ ? 7On+@D G ?? ???Cn+@  T~ @~ 8?~ ?~ ? ~  ?~ ? 7OJ @D N ??? ??CJ @ ~ @~ 9?~ ?~ ?~  ? ~ ? .PϢ?D ???? ~ ?DϢ? F# Available ->,ʴD@eeB,C@eeB,)9@eeB, h4@ ee B , :@@ ee B , S6@ ee B,i6@eeB#,ʴD@eeB,C@eeB,)9@eeB,h4@eeB,:@@eeB,S6@eeB,i6@eeB Idle ->!3Hr DD3!3( DD3!3= DD3! 3v!@ D D  3! 3` D D  3! 3= D D 3!32? DD # Total Idle:#L#@ %!Hr DD!( DD!= DD!v!@ DD!` DD!= DD!2? DD##@# %m~ A@F#2#(&3@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB 2#(DDB(0b@DDB(+@DDB(*@DDB(DDB((@DDB(DDB#T@  %&0!؄؉?DDNDV4lL'U(u{eQEJz37'EGG5J/Jz (T0!(b"(b#(b$('((()(b*(b+(2 #!#"#""Cost of shifting one unit"~ "@"!"m:@ D"D###Cost of one idle unit#~ #?#!##@$ D#D$#!$>B@ D"D#'#'2@2@ '(#(&@@&@ ()#)"@$@"@ )*#*@D@@ *+#+K@ +""EBBBB8P  (   p  6NMM? d(#]`2  I"??3` >` >` >` ><`,$( 3f3f3 ,r , 0-  @~ ]-d2 <Sequential Management<rr , 0-  @!+ ]- 2 <Simulataneous Management<q3d23 M NM4 3Q ;%%  Simult. IdleQ ; %%Q ; $$Q3_4E4 3Q ;''  Sequen. IdleQ ; ''Q ; &&Q3_ NM   d43_ NM   d43_ NM   d4E4D $% M 3O&Q4$% M 3O&Q4FA< 3O3 3*#M43*#M4%  ZM3Oz&Q (Amount of Shifting'4% [MZ3O@&Q  Idle Time'4523  NM43d" 444eee xp  6NMM? N0] `2  I"??3` >Y` >Yqп3d23 M NM4 3QQ ;'+Q ;'+Q3_4E4D $% M 3O&Q4$% M 3O&Q4FAL- ' 3OS 3*#M43*#M! M4523  O43d"  -3O % M3OQ443_ M NM ] MM<4444eee > @''' I  dMbP?_*+%"??U>@ @v ՜.+,D՜.+,h$ PXd lt| 31  Basic ModelDemand ManagementSmoothing IndexShift Scheduling SimultaneousSheet3  Worksheets 6> _PID_GUIDAN{ACAB97E1-F4CF-11D2-8D19-00E09803264D} FMicrosoft Excel ChartBiff8Excel.Sheet.89q Oh+'0@H\p  Avi Dechter Avi DechterMicrosoft Excel@=WOle aCompObj03bbObjInfodWorkbook247HI IBa= <&=Zy8X1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0;\-0;;@\l 0;\-0;;@                + ) , *    # "  ( "8@@ "8 @ "8@ "8  "8  ( #8@@ #8@ #8  @ " #8 @ #8 #8 "8""@ @ "8" @ "8 "< @ "< @   @  #8UU@ @     ,UU@ @  $""    # #8 #8@   (@  ( @ "8 " @  (@@  (@  (  @  (  ( #8  (  "@ @  "@  " @  @@  @  @   @    "<""@ @ "" solver_preư>" solver_preư>" solver_preư> solver_rel1 solver_rel1 solver_rel1 solver_rel1 solver_rel2 solver_rel2 solver_rel2 solver_rel2 solver_rel3 solver_rel3 solver_rel3 solver_rel4 solver_rel4 solver_rel4 solver_rel5 solver_rel5 solver_rel5 solver_rel6 solver_rel6 solver_rel6 solver_rel7 solver_rel7 solver_rel7 solver_rhs1# solver_rhs1# solver_rhs1# solver_rhs1#% solver_rhs2; ! solver_rhs2:% solver_rhs2;% solver_rhs2; % solver_rhs3; solver_rhs3# solver_rhs3#% solver_rhs4;% solver_rhs4;% solver_rhs4;% solver_rhs5; % solver_rhs5; ! solver_rhs5:% solver_rhs6;% solver_rhs6;% solver_rhs6;! solver_rhs7:! solver_rhs7:! solver_rhs7: solver_scl solver_scl solver_scl solver_scl solver_sho solver_sho solver_sho solver_sho solver_timd solver_timd solver_timd solver_timd" solver_tol?" solver_tol?" solver_tol?" solver_tol? solver_typ solver_typ solver_typ solver_typ solver_val solver_val solver_val solver_val\ 3  @@  t}8To->P E R I O DOriginalFromDemandCostPERIODModified Demand-> Increase-> Decrease->Change Max ChangeShiftingIncreaseDecreaseTotalSmoothing Index: P e r i o dPeriodSHFT Total Idle Demand -> Assigned Available ->Idle -> IdleAGNTotal Shifting: Total Idle:Simult.Sequen.Demand-> Modified Shifting->Total SmootingIndex-> Scheduled ->Cost of shifting one unitCost of one idle unit Smoothed Original DemandMaximally SmoothedPartially SmoothedPercent Smoothing:2$ $P%hx%_%;l%|rW&@b0blALblAA?|bM_bdb,D`T0bqwbC& `T0bbwbgY& `T0b/l0 blAA?dPb\bd|bkl<bXwbblA_BA?lbXwXwPbblAsolver_val7?l4bXw]]A?lbd@llb@Xw/w@b@@ & z`T0 b*W@`T0/8b`11wb@Fase-??C3` >Y` >Y ` >Y!d3d23 M NM4 3Q: "Original DemandQ ;QQ3_  NM  d4E4 3Q: (Maximally SmoothedQ ;QQ3_  NM  d4E4 3Q: (Partially SmoothedQ ;QQ3_  NM  d4E4D $% M 3O&Q4$% M 3O&!Q4FA? 3O$ 3 b#M43*$@J@#M! M4% L ^M3O.& Q Period'4% ^&MZ3O5& Q Denand'43"  53O 5% M3OQ44444eeI@<@>@>@<@A@9@<@>@(@<@A@A@<@9@6@<@4@6@;@4@e>  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )dcloseee@4"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  #} I} "$$T0$b $b $ $ $ $ $b $b  $` $0]! $Dn  $  $ $ 0$0 $@b $0b0$K]@0$0 $00$0$]$$$$ $$ To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#Y~ Y~ ?Y~ @ Y~  @ Y~  @ Y~ '@Y~ @0?@@@@@#~ ?Z<@D [ZD [Z@?D [ Z'0@D  [ Z@ D  [ Z D [\D [I@ D  0@?@@@@#]~ @]~ ]~ ? ]~  @ ]~  @ ]~ '@]~ @0@@?@@@#~ @ZD [ZI;;@D [Z%&@D [ Z D  [ Z D  [ Z D [\D [>@D  0@@@?@@Shifting# P ]~ @]~ @]~  ]~  ? ]~  @ ]~ '@]~ @0@@@@?@ Cost  ~ !T@$"/PD!N~ # E~ @ZD [ZD [Z}8@D [ Z D  [ Z D  [ Z D [\ D [9@D  0@@@@@?,1 V@ee B  ~ !Q@$"/ii?"PD!N~ #@ R ]~ @]~ @]~ @ ]~   ]~  ? ]~ '@]~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"/ii? "PD!N~ #@ I~ @  ZD  [ ZD  [ ZD  [ Z(@ D  [ Z D  [ Z D  [ \D  [ (@D   @ @? '0@ @ I@( <@ D DB(  DD B# sH@ %  ~ !I@$ "/ى؉? "PD !N~ #"@ O ]~ @ ]~ @ ]~ @ ]~ @ ]~  ]~ '? ]~ @ ~  I;;@ %&@$ >@(  D D B( 4@ D D B# >@  %  ~ !D@$ "/ii? "PD !N~ #,@ D~ @  Z D  [ Z D  [ Z D  [ Z D  [ ZJ6@ D  [ Z@ D  [ \@D  [ A@ D    }8@$ 9@(  D D B( @ D D B# }8@  %  ~ !>@$ "/5H4H? "PD !N~ #5@ ]~ '@ ]~ '@ ]~ '@ ]~ '@ ]~ '@ ]~ ' ]~ '? 6 (@(@(  D D B( *@ D D B# (@  %  ~ !4@$ "/ى؉? "PD !N~ #?@ ~ @  Z D [ Z D [ Z D [ Z D [ Z D [ Z6@ D [ \ D ^ 6@ D   J6@~ @ @~ A@( 6@ D D B( D D B# @@ %  ~ !$@$ "/}˷|˷?"PD !N~ #G@]~ ?]~ @]~ @ ]~  @ ]~  @ ]~ (@]~ 66@6@(DD B((@D DB#6@ % ~ !@$"/?"PD!N~ #M@~ @Z D[Z D[Z D[ Z D [ Z D [ Z D[\6@ D[6@ D 66@6@(DDB(DDB#6@  % # Smoothed $4Total Demand-><@DI;;@DvB<@D '<@ D  H <@"D  <@D/:@D Shifting->_ V@ D #<@ % #I;;@ % #vB<@ % #'<@ % #H <@ % #<@ % #/:@ % #`h@ % Change#Y@ % 00  Increase->( -?DDB!(!DDB!(!>DDB!( ! D DB !( ! D D B !( !D D B!(!DD B,Smooting ( ?DDB(!DDB(!DDB(!DDB(!DDB(!DDB("DDBChange  Decrease->($DDB%(%>DDB%(% DDB%( %ʺ= DD B %( %d= D D B %( %=D D B%(%-?D DB-Index->#.P@  % ($DDB(%DDB(%DDB(%DDB(%DDB(%DDB(&?DDB#@ % 0#0<@<@<@<@<@<@;@#`h@ %N D#D#D#D#D#D#D#>+0q6;xWHHHHHH $T0!$b # !#DT(  Tp T 6NMM?$09,@]`  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()dM`k. PM`kqU"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  #} I} "$$T0$b $b $b $ $ $ $b $b  $! $  $b  $b! $ $b $ $@ $1$K@{0$ $0$b$$$b${$$z0$$ To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@#~ ?+JC@D +,m!@D +@D  +D   + D   +D *D I@ D  0@?@@@@#~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#~ @+D +>@D +D  + D   + D   + D *D >@D  0@@@?@@Shifting# P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost  ~ !T@$"/PD!N~ # E~ @+D +D +E 2@D  +R@ D   + D   + D * D 9@D  0@@@@@?,1?@ee B  ~ !Q@$"/ii?"PD!N~ #@ R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$"/ii? "PD!N~ #@ I~ @  +D   +D   +D   +(@ D   + D   + D   *D   (@D   JC@ ,m!@$ @ I@Z ( <@ D DB(  DD B# H@ %  ~ !I@$ "/ى؉? "PD !N~ #"@ O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 0 p@ >@ Z (  D D B( 4@ D D B# >@  %  ~ !D@$ "/ii? "PD !N~ #,@ D~ @  + D   + D   + D   + D   +9@ D   + @ D   *@D   A@ D    E 2@ R@  9@ Z (  D D B( @ D D B# J9@  %  ~ !>@$ "/5H4H? "PD !N~ #5@ ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 0 (@ (@ Z (  D D B( *@ D D B# (@  %  ~ !4@$ "/ى؉? "PD !N~ #?@ ~ @  + D  + D  + D  + D  + D  +6@ D  * D ) 6@ D   9@  @ @ A@Z ( 6@ D D B( D D B# @@@ %  ~ !$@$ "/}˷|˷?"PD !N~ #G@~ ?~ @~ @ ~  @ ~  @ ~ (@~ 00@6@Z(DD B((@D DB#6@ % ~ !@$"/?"PD!N~ #M@~ @+ D+ D+ D + D  + D  + D*5@ D6@ D *5@6@ Z(DDB(DDB#5@  % # Modified $4Total Demand->JC@DK[C@DE 4@D T2@ D  9@"D  9@D`9@D Shifting->0?@ D #JC@ % #K[C@ % #E 4@ % #T2@ % #9@ % #9@ % #`9@ % #`h@ % sChange#Y@ % 00  Increase->( h*@DDB!(!DDB!(!DDB!( ! D DB !( ! (@ D D B !( ! g=D D B!(!DD B,Smooting  ])@!!!!Z(@!"Change Max Change Decrease->&$DDB%(%=DDB%(%p2@ DDB%( % jH? DD B %( % D D B %( %D D B%(%Ԑ>D DB-Index->#.vwD@  % $%% 2@%;E?%%&#%D@ %~ D@0#'C@ DDD'JC@DDD'14@DDD'F2@DDD' 9@DDD'9@DDD'9@DDD D#0#0I@>@9@(@A@6@6@ 0#0D@A@>@>@4@4@4@ 0#C@JC@14@F2@ 9@9@9@ D#D#D#D#@,Dq6bxTqHxxHHH $T0!$b # !#D8  ( @A@A p  6NMM?$09,@]`  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee xp  6NMM?%]`  I"??3` >Y` >Yqп3d23 M NM4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4D $% M 3O&Q4$% M 3O&Q4FAL-' ' 3OS 3 b#M43*#M! M4523  O43"  }3O }% M3OQ44444eee > @ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d ook1  "dX??U} } I}   T0 b b b    b@ b   b b @ b    {PPPP P e r i o dPPP P0Q?Q@Q@Q@Q@Q@Q@RTotal   Original Demand0I@>@9@(@A@6@6@#`h@ %   Increase(<@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB#I@ %   Decrease(DDB(4@DDB(@DDB(*@DDB(DDB((@DDB(DDB#I@ %   SSSSSSSTSmoothing Index:SI@D   `Percent Smoothing:/a DDDD    `a Maximally Smoothed0<@<@<@<@<@<@;@#`h@ %    Increase( ? DDB(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB# ? %    Decrease(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB( ? DDB# ? %    SSSSSSS TSmoothing Index: S? D     `Percent Smoothing:/ a?DD DD    `a Partially Smoothed0>@A@>@A@9@4@4@#`h@  %   Increase($@DDB(@DDB(DDB(@DDB(DDB(DDB(DDB#4@ %   Decrease(DDB(DDB(@DDB(DDB($@DDB(@DDB(DDB#4@ %SSSSSSSTSmoothing Index:S4@D`Percent Smoothing:/a? DDDD *ghB`dz"dz"pT0X(  Xv X <NMM?]`&]    I" ??3` >Y` >Y` >Yqп3d23 M NM4 3Q: "Original DemandQ ;QQ3_  NM  d4E4 3Q: (Maximally SmoothedQ ;QQ3_  NM  d4E4 3Q: (Partially SmoothedQ ;QQ3_  NM  d4E4D $% M 3O&Q4$% M 3O&Q4FA- 3O) 3 b#M43*$@J@#M! M4% 0 ~JM3O.&Q Period'4% [MZ3O5&Q Denand'43" G 83OG % M3OQ44444eee XX>@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d A2>$ ee@"dX??U} m}  } $} }   T0 b  @b Zb@     b b    K@b b! 0 b    {   b   bPeriod 0?@@@@@@   Demand -> 0<@<@<@<@<@<@;@  Assigned    *?:?;?;?;?;? ;<  U@    S~ @7$????? =  V@    H~ @ 7$????=?  V)@    I@7? ???=?  V@    F@7?? ??=?  V@    T @7???  ?=?  V`@   $ @8???? ~ >?  W'%@ # YC@ % >     Scheduled ->, <@ e e B, <@ e e B, ;@ e e B, 3<@ e e B, ;@ e e B, ;@ e e B, :@ e e B  3 Total Idle    Idle ->! 2=  D D! 2=  D D! 2  D D! 2̜=  D D! 2m  D D! 2  D D! 2̔ D D 2# X % N    IdleShifting ~ T@$/ PDN9@ ~ Q@$/ii?PDN4@@ ~ N@$/ii?PDN.@@ ~ I@$/ى؉?PDN$@"@ ~ D@$/ii?PDN,@ ~ >@$/5H4H?PDN5@ # `h@ %~ 4@$/ى؉?PDN?@  m۶m;@ D ~ $@$/}˷|˷?PDNG@ ~ @$/?PDNM@ 6 ?T$h||~~~$`$Jbbbbbb>@&( O v  <NMM?x]`x   IMCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??3`  `  ` ` <P$(  r  0ئ  @ }]ئ <Total Shifting<Urr  0(  @W](  < Idle Time<< i3d23 M NM4  3QQ ;Q ;Q3_4E4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FA1S 5 3OU 3*?#M43*N@#M4% | ,sM3O~&Q &Percent Smoothing'4523  NM43d" 444 eee xp  6NMM? 0@]`X  I"X??3`  `  `  i3d23 M NM4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FAS 5 3O + 3*?#M43*#M! M4% S| ,sM3O~& Q &Percent Smoothing'4% ]iMZ3O@& Q  Idle Time'4523  NM43d" 444 eee >@  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()d@A@A@A@A@A@A@A@A@A@A"d,,??U} } } } } I} } I} } I} } I} } I} } I} } I} }  #} } } ,((T0(b (b (b ( ( ( (b (b  (! (  (b  (b! ( (b ( (i@ (!(K@{ (((b(((b({ (Z@(z0 (1((0( To->P E R I O D Original0' From ~ ?~ @~ @~  @ ~  @ ~  @~ @ Demand0'~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@'~ ?+D@D +!@D +D  +D   + D   + D *D  9I@ D  0@?@@@@'~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#$Simult.%&Sequen.'~ @+D +>@D +D  + D   + D   + D *D  9>@D  0@@@?@@Shifting#$#Shifting %#Idle&#Shifting '#Idle P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost#$,@II,@I' E~ @+D +D +9@D  + D   + D   + D * D  99@D  0@@@@@?,1!@"ee B~ *@ #$&@I@I"@I$@' R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease #$ @I$@I@I.@' I~ @  +D   +D   +D   +(@ D   + D   + D   *D  9 (@D   DD@ E!@* EEEE,I@( <@ D DB(  DD B# I@ %  !# $@I.@I@I4@' O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 6 Fp@6>@(  D D B( 4@ D D B# >@ %  !# $@I4@II9@' D~ @  + D   + D   + D   + D   +A@ D   + D   *D  9 A@ D  6 F@69@(  D D B( @ D D B# 9@ %  !# $I9@% &' ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 6 F@6(@(  D D B( *@ D D B# (@ %  !/' ~ @  + D  + D  + D  + D  + D  +6@ D  * D 9 6@ D  6 F@6A@( 6@ D D B( D D B# A@ %  !/'~ ?~ @~ @ ~  @ ~  @ ~ (@~ 6F0@66@(DD B((@D DB# 6@ %!/'~ @+ D+ D+ D + D  + D  + D*6@ D 96@ D 6GHHHHH-6@6@(DDB(DDB# 6@ %!'FModified Demand-> D@D<C@D9@D (@ D  A@ D  6@ D6@D LTotal Shifting:J!@ D#D@ % #<C@ % #9@ % #(@ % #A@ % #6@ % #6@ % #`h@ % Change#Y@ % 20 ~ ?~  ?!~ !?!~ !?!~  !? !~  !? !!!!,M2@D A $?????????? ??~ A2@  S~ @ 54~ 4?4~ 4?4~  4? 4~  4? 4~  4?446ND S 4?$???????????~ B  H~ @7~ ?~  ? ~  ? ~  ?~ ? 6ND S@@*@?@?@?@?@?B  I~ @~ 7?~  ? ~  ? ~  ?~ ? 6N@D I ~ ? ????B@  F~ @~ 7?~ ? ~  ? ~  ?~ ? 6Nn+@D G ?? ???Bn+@  T~ @~ 7?~ ?~ ? ~  ?~ ? 6NJ @D N ??? ??BJ @ ~ @~ 8?~ ?~ ?~  ? ~ ? -OϢ?D ???? ~ ?CϢ? F# Available ->,ʴD@eeB,C@eeB,)9@eeB, h4@ ee B , :@@ ee B , S6@ ee B,i6@eeB#,ʴD@eeB,C@eeB,)9@eeB,h4@eeB,:@@eeB,S6@eeB,i6@eeB Idle ->!2Hr DD2!2( DD2!2= DD2! 2v!@ D D  2! 2` D D  2! 2= D D 2!22? DD # Total Idle:#K#@ %!Hr DD!( DD!= DD!v!@ DD!` DD!= DD!2? DD##@# %m~ A@F#2#(&3@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB 2#(DDB(0b@DDB(+@DDB(*@DDB(DDB((@DDB(DDB#T@  %&/!؄؉?DDNDV4lL'U(u{eQEJz37'EGG5J/Jz (T0!(b"(b#(b$('((()(b*(b+( #!#"#""Cost of shifting one unit"~ "@"!"m:@ D"D###Cost of one idle unit#~ #?#!##@$ D#D$#!$>B@ D"D#'#'2@2@ '(#(&@@&@ ()#)"@$@"@ )*#*@D@@ *+#+K@ +""EBBBB8`  (   p  6NMM? d(#]`8  I"8??3` >` >` >` ><p,$( 3f3f3 ,r , 0t  @~ ]t <Sequential Management<rr , 0Ľ  @!+ ]Ľ\ <Simulataneous Management<q3d23 M NM4 3Q ;%%  Simult. IdleQ ; %%Q ; $$Q3_4E4 3Q ;''  Sequen. IdleQ ; ''Q ; &&Q3_ NM   d43_ NM   d43_ NM   d4E4D $% M 3O&Q4$% M 3O&Q4FA< 3O3 3*#M43*#M4%  ZM3Oz&Q (Amount of Shifting'4% [MZ3O@&Q  Idle Time'4523  NM43d" 444eee xp  6NMM? N0] `0  I"0??3` >Y` >Yqп3d23 M NM4 3QQ ;'+Q ;'+Q3_4E4D $% M 3O&Q4$% M 3O&Q4FAL- ' 3OS 3*#M43*#M! M4523  O43d"  -3O % M3OQ443_ M NM ] MM<4444eee > @''' I  dMbP?_*+%"??U>@ SummaryInformation(5eDocumentSummaryInformation8i _9984760928 F.S4'S4Ole r@v ՜.+,D՜.+,D PXd lt| 11  Basic ModelDemand ManagementSmoothing IndexShift Scheduling SimultaneousSheet3Chart1  WorksheetsCharts 6> _PID_GUIDAN{ACAB97E1-F4CF-11D2-8D19-00E09803264D} FMicrosoft Excel WorksheetBiff8Excel.Sheet.89q Oh+'0@H\p  CompObj7:sfObjInfouWorkbook9;1SummaryInformation(<v      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGKLOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~ IBa= <=Zy8X1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial1hArial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0;\-0;;@\l 0;\-0;;@                + ) , *    # "  ( "8@@ "8 @ "8@ "8  "8  ( #8@@ #8@ #8  @ " #8 @ #8 #8 "8""@ @ "8" @ "< @ "< @   @  #8UU@ @     $""    # #8 #8@   (@  ( @ "8 " @  (@@  (@  (  @  (  ( #8  (  "@ @  "@  " @  @@  @  @   @    "<""@ @ "" solver_preư>" solver_preư>" solver_preư> solver_rel1 solver_rel1 solver_rel1 solver_rel1 solver_rel2 solver_rel2 solver_rel2 solver_rel2 solver_rel3 solver_rel3 solver_rel3 solver_rel4 solver_rel4 solver_rel4 solver_rel5 solver_rel5 solver_rel5 solver_rel6 solver_rel6 solver_rel6 solver_rel7 solver_rel7 solver_rel7 solver_rhs1# solver_rhs1# solver_rhs1# solver_rhs1#% solver_rhs2; % solver_rhs2; % solver_rhs2;% solver_rhs2; % solver_rhs3; solver_rhs3# solver_rhs3#% solver_rhs4;% solver_rhs4;% solver_rhs4;% solver_rhs5; ! solver_rhs5:! solver_rhs5:% solver_rhs6;% solver_rhs6;% solver_rhs6;! solver_rhs7:! solver_rhs7:! solver_rhs7: solver_scl solver_scl solver_scl solver_scl solver_sho solver_sho solver_sho solver_sho solver_timd solver_timd solver_timd solver_timd" solver_tol?" solver_tol?" solver_tol?" solver_tol? solver_typ solver_typ solver_typ solver_typ solver_val solver_val solver_val solver_val\ 3  @@  <To->P E R I O DOriginalFromDemandCostPERIODModified Demand-> Increase-> Decrease->Change Max ChangeShiftingIncreaseDecreaseTotalSmoothing Index: P e r i o dPeriodSHFT Total Idle Demand -> Assigned Available ->Idle -> IdleAGNTotal Shifting: Total Idle:Simult.Sequen.Demand-> Shifting->Total SmootingIndex-> Scheduled ->Cost of shifting one unitCost of one idle unit Smoothed Original DemandMaximally SmoothedPartially SmoothedPercent Smoothing:Percent Percentage->shiftingIndexpercent:$ ;%P%h%_&&;lg&|r&_'t?@bM_\`b8flb,DxCGbxblA\blAA?bM_\b8fb,D`T0b ѐ֐bC`T0bb֐bgY\`T0b| T0t00AAzm00b E000bbbXw@bblA_Bsolver_val7$bXw\Xwb,blA~b00|bXw\J\JA?bDftCGźɴb@Xw|֐tCG0b@xCG 4ِ`T0b@P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#W~ W~ ?W~ @ W~  @ W~  @ W~ '@W~ @0?@@@@@#~ ?X<@D YXD YX@?D Y X'0@D  Y X@ D  Y X D YZD YI@ D  0@?@@@@#[~ @[~ [~ ? [~  @ [~  @ [~ '@[~ @0@@?@@@#~ @XD YXI;;@D YX%&@D Y X D  Y X D  Y X D YZD Y>@D  0@@@?@@Shifting# P [~ @[~ @[~  [~  ? [~  @ [~ '@[~ @0@@@@?@ Cost  ~ !T@$".PD!N~ # E~ @XD YXD YX}8@D Y X D  Y X D  Y X D YZ D Y9@D  0@@@@@?,/ V@ee B  ~ !Q@$".ii?"PD!N~ #@ R [~ @[~ @[~ @ [~   [~  ? [~ '@[~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$".ii? "PD!N~ #@ I~ @  XD  Y XD  Y XD  Y X(@ D  Y X D  Y X D  Y ZD  Y (@D   @ @? '0@ @ I@( <@ D DB(  DD B# sH@ %  ~ !I@$ ".ى؉? "PD !N~ #"@ O [~ @ [~ @ [~ @ [~ @ [~  [~ '? [~ @ ~  I;;@ %&@$ >@(  D D B( 4@ D D B# >@  %  ~ !D@$ ".ii? "PD !N~ #,@ D~ @  X D  Y X D  Y X D  Y X D  Y XJ6@ D  Y X@ D  Y Z@D  Y A@ D    }8@$ 9@(  D D B( @ D D B# }8@  %  ~ !>@$ ".5H4H? "PD !N~ #5@ [~ '@ [~ '@ [~ '@ [~ '@ [~ '@ [~ ' [~ '? 6 (@(@(  D D B( *@ D D B# (@  %  ~ !4@$ ".ى؉? "PD !N~ #?@ ~ @  X D Y X D Y X D Y X D Y X D Y X6@ D Y Z D \ 6@ D   J6@~ @ @~ A@( 6@ D D B( D D B# @@ %  ~ !$@$ ".}˷|˷?"PD !N~ #G@[~ ?[~ @[~ @ [~  @ [~  @ [~ (@[~ 66@6@(DD B((@D DB#6@ % ~ !@$".?"PD!N~ #M@~ @X DYX DYX DY X D Y X D Y X DYZ6@ DY6@ D 66@6@(DDB(DDB#6@  % # Smoothed $2Total Demand-><@DI;;@DvB<@D '<@ D  H <@"D  <@D/:@D Shifting->] V@ D #<@ % #I;;@ % #vB<@ % #'<@ % #H <@ % #<@ % #/:@ % #`h@ % Change#Y@ % 00  Increase->( -?DDB!(!DDB!(!>DDB!( ! D DB !( ! D D B !( !D D B!(!DD B+Smooting ( ?DDB(!DDB(!DDB(!DDB(!DDB(!DDB("DDBChange  Decrease->($DDB%(%>DDB%(% DDB%( %ʺ= DD B %( %d= D D B %( %=D D B%(%-?D DB,Index->#-P@  % ($DDB(%DDB(%DDB(%DDB(%DDB(%DDB(&?DDB#@ % 0#0<@<@<@<@<@<@;@#`h@ %N D#D#D#D#D#D#D#>+0q6;xWHHHHHH $T0!$b # !#DT(  Tp T 6NMM?$09,@]`  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4% B ,#M3O~&Q &Percent Smoothing'4% ]gMZ3OY&Q  Total Shifting'43d" 444 eee >@  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )d"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  #} } "$$T0$b $b $b $ $ $ $b $b  $! $~  $b  $b! $ $b $ $@ $1$K@{0$ $0$b $0$$b${$$z0$b$bb$ To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#W~ W~ ?W~ @ W~  @ W~  @ W~ '@W~ @0?@@@@@#~ ?XAdB@D YX @D YX&@D Y XD  Y X D  Y XD YZD YI@ D  0@?@@@@#[~ @[~ [~ ? [~  @ [~  @ [~ '@[~ @0@@?@@@#~ @XD YX<@D YXD Y Xv? D  Y X D  Y X D YZD Y>@D  0@@@?@@Shifting# P [~ @[~ @[~  [~  ? [~  @ [~ '@[~ @0@@@@?@ Cost  ~ !T@$".PD!N~ # E~ @XD YXD YX,L1@D Y X @ D  Y X D  Y X D YZ D Y9@D  0@@@@@?,/:D@ee B~ D@  ~ !Q@$".ii?"PD!N~ #@ R [~ @[~ @[~ @ [~   [~  ? [~ '@[~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$".ii? "PD!N~ #@ I~ @  XD  Y XD  Y XD  Y X(@ D  Y X D  Y X D  Y ZD  Y (@D   AdB@~  @ &@  I@Z ( <@ D DB(  DD B# H@ %  ~ !I@$ ".ى؉? "PD !N~ #"@ O [~ @ [~ @ [~ @ [~ @ [~  [~ '? [~ @ ~  <@~  v?  >@ Z (  D D B( 4@ D D B#  *>@  %  ~ !D@$ ".ii? "PD !N~ #,@ D~ @  X D  Y X D  Y X D  Y X D  Y X#9@ D  Y X!e@ D  Y Ze@D  Y A@ D    ,L1@  @ 9@ Z (  D D B( @ D D B# ,L9@  %  ~ !>@$ ".5H4H? "PD !N~ #5@ [~ '@ [~ '@ [~ '@ [~ '@ [~ '@ [~ ' [~ '? 0 @ (@ Z (  D D B( *@ D D B# (@  %  ~ !4@$ ".ى؉? "PD !N~ #?@ ~ @  X D Y X D Y X D Y X D Y X D Y X6@ D Y Z D \ 6@ D   #9@ !e@ e@ A@Z ( 6@ D D B( D D B# @@ %  ~ !$@$ ".}˷|˷?"PD !N~ #G@[~ ?[~ @[~ @ [~  @ [~  @ [~ (@[~ 00@6@Z(DD B((@D DB#6@ % ~ !@$".?"PD!N~ #M@~ @X DYX DYX DY X D Y X D Y X DYZ6@ DY6@ D 00@6@ Z(DDB(DDB#6@  % # Smoothed $2Total Demand->AdB@DdB@D6@D {`5@ D  #9@ D  9@ D9@D Shifting->i:D@ D #AdB@ % #dB@ % #6@ % #{`5@ % ##9@ % #9@ % #9@ % #`h@ % sChange#Y@ % 00  Increase->(dw%@DDBe(fp=DDBe(fDDBe( fD DB e( ff@D D B e( f P=D D Be(fDD BgSmooting # n%@!!!![@!"Change Max Change Decrease->&`DDBa(bDDBa(b4--@ DDBa( b`OJ? DD B a( b D D B a( b D D Ba(b<"D DBcIndex->#j,/@  % $%%-@%^?%%&#/@ %~ 4@(Smooting 'B@ DDD'AdB@DDD'6@DDD'5@DDD'd7 :@DDD'#9@DDD'9@DDD ( Percentage->h>4?DPercent >#$_>4?2D1~ _D@.#shiftingB$@4@>@D@I@N@Q@T@V@.#IndexBI@D@?@5@0@&@@@@.#percentB@L@@@@@V@"@Y@D#D#D#D#B-XqBVxTHHH $T0!$b # !#D8  ( @A@A p  6NMM?$09,@]`   I" ??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA j 3O }+x 3*?#M43*N@#M4% B , M3O~&Q &Percent Smoothing'4% ]\MZ3OY&Q  Total Shifting'43d" 444 eee xp  6NMM?'i8Z]`  I"??3` >Y` >Yqп3d23 M NM4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4 3QQ ;QQ3_4E4D $% M 3O&Q4$% M 3O&Q4FA+-H ' 3OS 3 b#M43*#M! M4523  O43"  }3O }% M3OQ44444eeI@D@C@>@A@JC@9@>@14@(@>@F2@A@4@ 9@6@4@9@6@4@9@e >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d4!*()d"dX??U} } I}   T0 b b b    b@ b  ~ b b @ b    {NNNN P e r i o dNNN N0O?O@O@O@O@O@O@PTotal   Original Demand0I@>@9@(@A@6@6@#`h@ %   Increase(<@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB#I@ %   Decrease(DDB(4@DDB(@DDB(*@DDB(DDB((@DDB(DDB#I@ %   QQQQQQQRSmoothing Index:QI@D   ^Percent Smoothing:/_ DDDD    ^_ Maximally Smoothed0<@<@<@<@<@<@;@#`h@ %    Increase( ? DDB(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB# ? %    Decrease(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB( ? DDB# ? %    QQQQQQQ RSmoothing Index: Q? D     ^Percent Smoothing:/ _?DD DD    ^_ Partially Smoothed0>@A@>@A@9@4@4@#`h@  %   Increase($@DDB(@DDB(DDB(@DDB(DDB(DDB(DDB#4@ %   Decrease(DDB(DDB(@DDB(DDB($@DDB(@DDB(DDB#4@ %QQQQQQQRSmoothing Index:Q4@D^Percent Smoothing:/_? DDDD *ghB`dz"dz"pT0X(  Xv X <NMM?]`&]    I" ??3` >Y` >Y` >Yqп3d23 M NM4 3Q: "Original DemandQ ;QQ3_  NM  d4E4 3Q: (Maximally SmoothedQ ;QQ3_  NM  d4E4 3Q: (Partially SmoothedQ ;QQ3_  NM  d4E4D $% M 3O&Q4$% M 3O&Q4FA- 3O) 3 b#M43*$@J@#M! M4% 0 ~JM3O.&Q Period'4% [MZ3O5&Q Denand'43" G 83OG % M3OQ44444eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d A2>$ ee@"dX??U} m}  } $} }   T0 b  @b Zb@     b b  ~  K@b b! 0 b     bO b b   OPeriod 0?@@@@@@   Demand -> AdB@ ZdB@Z6@Z{`5@Z #9@Z 9@Z 9@Z  Assigned    *?8?9?9?9?9? 9:  S@    S~ @5$????? ; ~  T    H~ @ 5$????;? ~  T    I@5? ???;?  TC@    F@5?? ??;?  TP5@    T @5???  ?;?  Tc@   $ @6???? ~ <?  U5'@ # aE@ % >     Scheduled ->, aE@ e e B, O}D@ e e B, MB3@ e e B, P>2@ e e B, ;@ e e B, =M;@ e e B, ,C@ e e B  1 Total Idle    Idle ->! 0H@  D D! 08@  D D! 0H   D D! 0X9  D D! 0[@  D D! 0 <?  D D! 0j#*@ D D 0# V| 4@ % N    IdleShifting ~ T@$. PDN9@ ~ Q@$.ii?PDN4@@ ~ N@$.ii?PDN.@@ ~ I@$.ى؉?PDN$@"@ ~ D@$.ii?PDN,@ ~ >@$.5H4H?PDN5@ # _h@ %~ 4@$.ى؉?PDN?@  kٶm;@ D ~ $@$.}˷|˷?PDNG@ ~ @$.?PDNM@ 6?T5$hxx~~~$`$Jbbbbbb>@&( O v  <NMM?x]`|   IMCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??3`  `  ` ` <P$(  r  0Ц~  @ }]Ц~ <Total Shifting<Urr  0 ~  @W] ~  < Idle Time<< i3d23 M NM4  3QQ ;Q ;Q3_4E4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FA1S 5 3OU 3*?#M43*N@#M4% | ,sM3O~&Q &Percent Smoothing'4523  NM43d" 444 eee xp  6NMM? 0@]`\  I"\??3`  `  `  i3d23 M NM4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FAS 5 3O + 3*?#M43*#M! M4% B| ,sM3O~& Q &Percent Smoothing'4% ]iMZ3O@& Q  Idle Time'4523  NM43d" 444 eee >@A @ I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()d@A@A@A@A@A@A@A@A@A@A"d,,??U} } } } } I} } I} } I} } I} } I} } I} } I} }  #} } } ,((T0(b (b (b ( ( ( (b (b  (! (~  (b  (b! ( (b ( (i@ (!(K@{ (((b(((b({ (Z@(z0 (b0(b(T0( To->P E R I O D Original0' From ~ ?~ @~ @~  @ ~  @ ~  @~ @ Demand0'~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@'~ ?*D@D *!@D *D  *D   * D   * D )D  7I@ D  0@?@@@@'~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#$Simult.%&Sequen.'~ @*D *>@D *D  * D   * D   * D )D  7>@D  0@@@?@@Shifting#$#Shifting %#Idle&#Shifting '#Idle P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost#$,@GG,@G' E~ @*D *D *9@D  * D   * D   * D ) D  79@D  0@@@@@?,/!@"ee B~ *@ #$&@G@G"@G$@' R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease #$ @G$@G@G.@' I~ @  *D   *D   *D   *(@ D   * D   * D   )D  7 (@D   BD@ C!@* CCCC+I@( <@ D DB(  DD B# I@ %  !# $@G.@G@G4@' O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 6 Dp@4>@(  D D B( 4@ D D B# >@ %  !# $@G4@GG9@' D~ @  * D   * D   * D   * D   *A@ D   * D   )D  7 A@ D  6 D@49@(  D D B( @ D D B# 9@ %  !# $G9@% &' ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 6 D@4(@(  D D B( *@ D D B# (@ %  !.' ~ @  * D  * D  * D  * D  * D  *6@ D  ) D 7 6@ D  6 D@4A@( 6@ D D B( D D B# A@ %  !.'~ ?~ @~ @ ~  @ ~  @ ~ (@~ 6D0@46@(DD B((@D DB# 6@ %!.'~ @* D* D* D * D  * D  * D)6@ D 76@ D 6EFFFFF,6@6@(DDB(DDB# 6@ %!'FModified Demand-> D@D<C@D9@D (@ D  A@ D  6@ D6@D JTotal Shifting:H!@ D#D@ % #<C@ % #9@ % #(@ % #A@ % #6@ % #6@ % #`h@ % Change#Y@ % 20 ~ ?~  ?!~ !?!~ !?!~  !? !~  !? !!!!+K2@D A $=?=?=?=?=? ==~ ?2@  S~ @ 32~ 2?2~ 2?2~  2? 2~  2? 2~  2?224LD S 2=$=?=?=?=?=?=~ @  H~ @5~ ?~  ? ~  ? ~  ?~ ? 4LD S>>*>?>?>?>?>?@  I~ @~ 5?~  ? ~  ? ~  ?~ ? 4L@D I ~ ? ????@@  F~ @~ 5?~ ? ~  ? ~  ?~ ? 4Ln+@D G ?? ???@n+@  T~ @~ 5?~ ?~ ? ~  ?~ ? 4LJ @D N ??? ??@J @ ~ @~ 6?~ ?~ ?~  ? ~ ? ,MϢ?D ???? ~ ?AϢ? F# Available ->,ʴD@eeB,C@eeB,)9@eeB, h4@ ee B , :@@ ee B , S6@ ee B,i6@eeB#,ʴD@eeB,C@eeB,)9@eeB,h4@eeB,:@@eeB,S6@eeB,i6@eeB Idle ->!0Hr DD0!0( DD0!0= DD0! 0v!@ D D  0! 0` D D  0! 0= D D 0!02? DD # Total Idle:#I#@ %!Hr DD!( DD!= DD!v!@ DD!` DD!= DD!2? DD##@# %m~ A@F#2#(&3@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB 2#(DDB(0b@DDB(+@DDB(*@DDB(DDB((@DDB(DDB#T@  %&.!؄؉?DDNDV4lL'U(u{eQEJz37'EGG5J/Jz (T0!(b"(b#(b$('((()(b*(b+( #!#"#""Cost of shifting one unit"~ "@"!"m:@ D"D###Cost of one idle unit#~ #?#!##@$ D#D$#!$>B@ D"D#'#'2@2@ '(#(&@@&@ ()#)"@$@"@ )*#*@D@@ *+#+K@ +""EBBBB8`  (   p  6NMM? d(#]`<  I"<??3` >` >` >` ><p,$( 3f3f3 ,r , 0̽~  @~ ]̽~ <Sequential Management<rr , 0~  @!+ ]~` <Simulataneous Management<q3d23 M NM4 3Q ;%%  Simult. IdleQ ; %%Q ; $$Q3_4E4 3Q ;''  Sequen. IdleQ ; ''Q ; &&Q3_ NM   d43_ NM   d43_ NM   d4E4D $% M 3O&Q4$% M 3O&Q4FA< 3O3 3*#M43*#M4%  ZM3Oz&Q (Amount of Shifting'4% [MZ3O@&Q  Idle Time'4523  NM43d" 444eee xp  6NMM? N0] `4  I"4??3` >Y` >Yqп3d23 M NM4 3QQ ;'+Q ;'+Q3_4E4D $% M 3O&Q4$% M 3O&Q4FAL- ' 3OS 3*#M43*#M! M4523  O43d"  -3O % M3OQ443_ M NM ] MM<4444eee > @''' I  dMbP?_*+%"??U>@ Avi Dechter Avi DechterMicrosoft Excel@=W@v ՜.+,D՜.+,h$ PXd lt| 31  Basic ModelDemand ManagementSmoothing IndexShift Scheduling SimultaneousSheet3  Worksheets 6DocumentSummaryInformation8z_998657270? F'S4IS4Ole CompObj>Ab> _PID_GUIDAN{ACAB97E1-F4CF-11D2-8D19-00E09803264D} FMicrosoft Excel ChartBiff8Excel.Sheet.89q Oh+'0@H\p  ObjInfoWorkbook@BN>SummaryInformation(CDocumentSummaryInformation8  IBa=<.=Z)8X1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial1LArial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0;\-0;;@\l 0;\-0;;@                + ) , *    # "  ( "8@@ "8 @ "8@ "8  "8  ( #8@@ #8@ #8  @ " #8 @ #8 #8 "8""@ @ "8" @ "< @ "< @   @  #8UU@ @     $""    # #8 #8@   (@  ( @ "8 " @  (@@  (@  (  @  (  ( #8  (  "@ @  "@  " @  @@  @  @   @    "<""@ @ "" solver_preư>" solver_preư>" solver_preư> solver_rel1 solver_rel1 solver_rel1 solver_rel1 solver_rel2 solver_rel2 solver_rel2 solver_rel2 solver_rel3 solver_rel3 solver_rel3 solver_rel4 solver_rel4 solver_rel4 solver_rel5 solver_rel5 solver_rel5 solver_rel6 solver_rel6 solver_rel6 solver_rel7 solver_rel7 solver_rel7 solver_rhs1# solver_rhs1# solver_rhs1# solver_rhs1#% solver_rhs2; % solver_rhs2; % solver_rhs2;% solver_rhs2; % solver_rhs3; solver_rhs3# solver_rhs3#% solver_rhs4;% solver_rhs4;% solver_rhs4;% solver_rhs5; ! solver_rhs5:! solver_rhs5:% solver_rhs6;% solver_rhs6;% solver_rhs6;! solver_rhs7:! solver_rhs7:! solver_rhs7: solver_scl solver_scl solver_scl solver_scl solver_sho solver_sho solver_sho solver_sho solver_timd solver_timd solver_timd solver_timd" solver_tol? solver_tol" solver_tol?" solver_tol? solver_typ solver_typ solver_typ solver_typ solver_val solver_val solver_val solver_val\  3  @@  =To->P E R I O DOriginalFromDemandCostPERIODModified Demand-> Increase-> Decrease->Change Max ChangeShiftingIncreaseDecreaseTotalSmoothing Index: P e r i o dPeriodSHFT Total Idle Demand -> Assigned Available ->Idle -> IdleAGNTotal Shifting: Total Idle:Simult.Sequen.Demand-> Shifting->Total SmootingIndex-> Scheduled ->Cost of shifting one unitCost of one idle unit Smoothed Original DemandMaximally SmoothedPartially SmoothedPercent Smoothing:Percent Percentage->shiftingIndexpercentidle:% &Pb&h&_';lG'|r't?(tƑb0blAƑPƑLb j~bƑ|bM_ƑPƑbfb,D`T0Н0b<Ǝ蜐bC0`T0bb蜐bgYPƑ0`T0bip0b~bbb~A?fXb\bƑ|~T0bt00b̎zm00b E000bbb߿0b|~bt0bsolver_val7ent0]4bXwPƑPƑ~b00lb|b@Xw(蜐BGb@BG 0$`T0Z b*W`T0<8b` 0ɑ蜐b@Fase-??C3` >Y!` >Y$` >Y%3d23 M NM4  3Q:  idleQ ;Q ;Q3_4E4D $% M 3O&!Q4$% M 3O&%Q4FAv 3O] 3*Y@#M43*#M! M4% ,J M3O&$Q ,Smoothing Percentage'4% a"MZ3O7&$Q  Idle Time'4523  NM43d" 3_ M MM ] MM<444% M!3OQ'44 e)\h4@)\hD@ףp= M@)\XQ@(\S@33333sV@QxW@= ףp}X@ Y@eK@$@@.@$@@ e>  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )dcloseee@4"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  #} I} "$$T0$b $b $ $ $ $ $b $b  $  $0% $Il  $eP  $tg $ 0$0 $@b $ 00$K0@0$0 $T00$$$$b$b$b$$b To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#W~ W~ ?W~ @ W~  @ W~  @ W~ '@W~ @0?@@@@@#~ ?X<@D YXD YX@?D Y X'0@D  Y X@ D  Y X D YZD YI@ D  0@?@@@@#[~ @[~ [~ ? [~  @ [~  @ [~ '@[~ @0@@?@@@#~ @XD YXI;;@D YX%&@D Y X D  Y X D  Y X D YZD Y>@D  0@@@?@@Shifting# P [~ @[~ @[~  [~  ? [~  @ [~ '@[~ @0@@@@?@ Cost  ~ !T@$".PD!N~ # E~ @XD YXD YX}8@D Y X D  Y X D  Y X D YZ D Y9@D  0@@@@@?,/ V@ee B  ~ !Q@$".ii?"PD!N~ #@ R [~ @[~ @[~ @ [~   [~  ? [~ '@[~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$".ii? "PD!N~ #@ I~ @  XD  Y XD  Y XD  Y X(@ D  Y X D  Y X D  Y ZD  Y (@D   @ @? '0@ @ I@( <@ D DB(  DD B# sH@ %  ~ !I@$ ".ى؉? "PD !N~ #"@ O [~ @ [~ @ [~ @ [~ @ [~  [~ '? [~ @ ~  I;;@ %&@$ >@(  D D B( 4@ D D B# >@  %  ~ !D@$ ".ii? "PD !N~ #,@ D~ @  X D  Y X D  Y X D  Y X D  Y XJ6@ D  Y X@ D  Y Z@D  Y A@ D    }8@$ 9@(  D D B( @ D D B# }8@  %  ~ !>@$ ".5H4H? "PD !N~ #5@ [~ '@ [~ '@ [~ '@ [~ '@ [~ '@ [~ ' [~ '? 6 (@(@(  D D B( *@ D D B# (@  %  ~ !4@$ ".ى؉? "PD !N~ #?@ ~ @  X D Y X D Y X D Y X D Y X D Y X6@ D Y Z D \ 6@ D   J6@~ @ @~ A@( 6@ D D B( D D B# @@ %  ~ !$@$ ".}˷|˷?"PD !N~ #G@[~ ?[~ @[~ @ [~  @ [~  @ [~ (@[~ 66@6@(DD B((@D DB#6@ % ~ !@$".?"PD!N~ #M@~ @X DYX DYX DY X D Y X D Y X DYZ6@ DY6@ D 66@6@(DDB(DDB#6@  % # Smoothed $2Total Demand-><@DI;;@DvB<@D '<@ D  H <@"D  <@D/:@D Shifting->] V@ D #<@ % #I;;@ % #vB<@ % #'<@ % #H <@ % #<@ % #/:@ % #`h@ % Change#Y@ % 00  Increase->( -?DDB!(!DDB!(!>DDB!( ! D DB !( ! D D B !( !D D B!(!DD B+Smooting ( ?DDB(!DDB(!DDB(!DDB(!DDB(!DDB("DDBChange  Decrease->($DDB%(%>DDB%(% DDB%( %ʺ= DD B %( %d= D D B %( %=D D B%(%-?D DB,Index->#-P@  % ($DDB(%DDB(%DDB(%DDB(%DDB(%DDB(&?DDB#@ % 0#0<@<@<@<@<@<@;@#`h@ %N D#D#D#D#D#D#D#>+0q6;xWHHHHHH $T0!$b # !#DT(  Tp T 6NMM?$09,@]`  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4%  #M3Om&Q &Percent Smoothing'4% ]MZ3OP&Q  Total Shifting'43d" 444 eee >@  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )ds#)  solver_rhs,"DP E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#W~ W~ ?W~ @ W~  @ W~  @ W~ '@W~ @0?@@@@@#~ ?X%8<@D YX2@D YX D Y XD  Y X@ D  Y XD YZD YI@ D  0@?@@@@#[~ @[~ [~ ? [~  @ [~  @ [~ '@[~ @0@@?@@@#~ @XD YX&$@D YX$`@D Y X0@ D  Y X D  Y X? D YZD Y>@D  0@@@?@@Shifting# P [~ @[~ @[~  [~  ? [~  @ [~ '@[~ @0@@@@?@ Cost  ~ !T@$".PD!N~ # E~ @XD YXD YX9@D Y X D  Y X D  Y X D YZ D Y9@D  0@@@@@?,/DS@ee B~ V@  ~ !Q@$".ii?"PD!N~ #@ R [~ @[~ @[~ @ [~   [~  ? [~ '@[~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$".ii? "PD!N~ #@ I~ @  XD  Y XD  Y XD  Y X(@ D  Y X D  Y X D  Y ZD  Y (@D   %8<@ 2@$ @ I@Z ( <@ D DB(  DD B# H@ %  ~ !I@$ ".ى؉? "PD !N~ #"@ O [~ @ [~ @ [~ @ [~ @ [~  [~ '? [~ @ ~  &$@ $`@ 0@? >@ Z (  D D B( 4@ D D B# =@  %  ~ !D@$ ".ii? "PD !N~ #,@ D~ @  X D  Y X D  Y X D  Y X D  Y X9@ D  Y X:@ D  Y Z@D  Y A@ D  0 9@ 9@ Z (  D D B( @ D D B# 9@  %  ~ !>@$ ".5H4H? "PD !N~ #5@ [~ '@ [~ '@ [~ '@ [~ '@ [~ '@ [~ ' [~ '? 0 (@ (@ Z (  D D B( *@ D D B# (@  %  ~ !4@$ ".ى؉? "PD !N~ #?@ ~ @  X D Y X D Y X D Y X D Y X D Y X6@ D Y Z D \ 6@ D   9@ :@ @ A@Z ( 6@ D D B( D D B# e@@ %  ~ !$@$ ".}˷|˷?"PD !N~ #G@[~ ?[~ @[~ @ [~  @ [~  @ [~ (@[~ 06@6@Z(DD B((@D DB#6@ % ~ !@$".?"PD!N~ #M@~ @X DYX DYX DY X D Y X D Y X DYZ6@ DY6@ D 06@6@ Z(DDB(DDB#6@  % # Smoothed $2Total Demand->%8<@DD<@DL;@D <@ D  ;@ D  P:@ Ddc:@D Shifting->iDS@D #%8<@ % #D<@ % #L;@ % #<@ % #;@ % #P:@ % #dc:@ % #`h@ % sChange#Y@ % 00  Increase->(dLm?DDBe(fe>DDBe(fDDBe( f=D DB e( fD D B e( fD D Be(f@=DD BgSmooting # l?*!!!!!"Change Max Change Decrease->&`DDBa(bDDBa(b? DDBa( b DD B a( b@.? D D B a( bƂ6> D D Ba(b"D DBcIndex->#j?  % $%%+1?~ %%?%b 4>~ &#l? %~ 4@(Smooting '1<@ DDD'%8<@DDD'<@DDD'L;@DDD'Z;@DDD' :@DDD'P:@DDD ( Percentage->hX?DPercent >#$_X?2D1~ _D@.#shiftingB$@4@>@D@I@N@Q@T@V@.#IndexBI@D@>@5@0@&@@@@?.#percentB@@@@@@V@"@Y@.#shiftingB$@4@>@D@I@N@Q@T@V@.# idleBK@$@@.@$@@D#D#B.XqBVx>H $T0!$b # !#D  ( @A@A p  6NMM?$09,@]`   I" ??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA j 3O }+x 3*?#M43*N@#M4%   M3Om&Q &Percent Smoothing'4% ]MZ3OP&Q  Total Shifting'43d" 444 eee xp   6NMM?@.] `t  I"t??3` >Y` >Y` >Y03d23 M NM4  3Q:  idleQ ;Q ;Q3_4E4D $% jM 3O&Q4$% jM 3O&Q4FA\ B 3O{ 3*Y@#M43*#M! M4% Os mM3O&Q ,Smoothing Percentage'4% MZ3O7&Q  Idle Time'4523  NM43d" 3_ M MM ] MM<444% jMP3OQ'44 eee xp   6NMM? !-] `  I"??3` >Y ` >Y"` >Y#3d23 M NM4  3Q: shiftingQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O&#Q4FA_ 6 3O 3*Y@#M43*V@#M! M4% Xo pM3O&"Q ,Smoothing Percentage'4% 5MZ3OL&"Q  Total Shifting'4523  NM43d" 3_  M MM ] MM<444% M@3OQ'44 eee   >$@111 I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d4!*()d"dX??U} } I}   T0 b b b    b@ b  ~ b b @ b    {NNNN P e r i o dNNN N0O?O@O@O@O@O@O@PTotal   Original Demand0I@>@9@(@A@6@6@#`h@ %   Increase(<@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB#I@ %   Decrease(DDB(4@DDB(@DDB(*@DDB(DDB((@DDB(DDB#I@ %   QQQQQQQRSmoothing Index:QI@D   ^Percent Smoothing:/_ DDDD    ^_ Maximally Smoothed0<@<@<@<@<@<@;@#`h@ %    Increase( ? DDB(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB# ? %    Decrease(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB( ? DDB# ? %    QQQQQQQ RSmoothing Index: Q? D     ^Percent Smoothing:/ _?DD DD    ^_ Partially Smoothed0>@A@>@A@9@4@4@#`h@  %   Increase($@DDB(@DDB(DDB(@DDB(DDB(DDB(DDB#4@ %   Decrease(DDB(DDB(@DDB(DDB($@DDB(@DDB(DDB#4@ %QQQQQQQRSmoothing Index:Q4@D^Percent Smoothing:/_? DDDD *ghB`dz"dz"pT0X(  Xv X <NMM?]`&]   I"??3` >Y` >Y` >Yqп3d23 M NM4 3Q: "Original DemandQ ;QQ3_  NM  d4E4 3Q: (Maximally SmoothedQ ;QQ3_  NM  d4E4 3Q: (Partially SmoothedQ ;QQ3_  NM  d4E4D $% M 3O&Q4$% M 3O&Q4FA-e 3O- ) 3 b#M43*$@J@#M! M4% j LJM3O(&Q Period'4% [RMZ3O-&Q Denand'43"  3O % M3OQ44444eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d A2>$ ee@"dX??U} m}  } $} }   T0 b  @b Zb@     b b  ~  K@b b! 0 b    {   b   bPeriod 0?@@@@@@   Demand -> %8<@ ZD<@ZL;@Z<@Z ;@Z P:@Z dc:@Z  Assigned    *?8?9?9?9?9? 9:  S'@    S~ @5$????? ;  T @    H~ @ 5$????;?  TĘK@    I@5? ???;?  T!@    F@5?? ??;?  T){@    T @5???  ?;?  T)&@   $ @6???? ~ <?  Uc@ # C@ % >     Scheduled ->, =9<@ e e B, D<@ e e B, XL;@ e e B, ;@ e e B, e;@ e e B, :@ e e B, H^:@ e e B  1 Total Idle    Idle ->! 0q=  D D! 05=  D D! 0U=  D D! 0  D D! 0b  D D! 0@^=  D D! 0p D D 0# V= % N    IdleShifting ~ T@$. PDN9@ ~ Q@$.ii?PDN4@@ ~ N@$.ii?PDN.@@ ~ I@$.ى؉?PDN$@"@ ~ D@$.ii?PDN,@ ~ >@$.5H4H?PDN5@ # W_h@ %~ 4@$.ى؉?PDN?@  ?׶m;@ D ~ $@$.}˷|˷?PDNG@ ~ @$.?PDNM@ 6?T5$h||~~~$`$Jbbbbbb>@&( O v  <NMM?x]`  IMCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??3`  `  ` ` <P$(  r  0~  @ }]~ <Total Shifting<Urr  0 ~  @W] ~P  < Idle Time<< i3d23 M NM4  3QQ ;Q ;Q3_4E4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FA1S 5 3OU 3*?#M43*N@#M4% | ,sM3O~&Q &Percent Smoothing'4523  NM43d" 444 eee xp  6NMM? 0@]`$  I"$??3`  `  `  i3d23 M NM4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FAS 5 3O + 3*?#M43*#M! M4% B| ,sM3O~& Q &Percent Smoothing'4% ]iMZ3O@& Q  Idle Time'4523  NM43d" 444 eee >@A @ I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()d@A@A@A@A@A@A@A@A@A@A"d,,??U} } } } } I} } I} } I} } I} } I} } I} } I} }  #} } } ,((T0(b (b (b ( ( ( (b (b  (! (~  (b  (b! ( (b ( (i@ (!(K@{ (((b(((1((Z@((((( To->P E R I O D Original0' From ~ ?~ @~ @~  @ ~  @ ~  @~ @ Demand0'~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@'~ ?*D@D *!@D *D  *D   * D   * D )D  7I@ D  0@?@@@@'~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#$Simult.%&Sequen.'~ @*D *>@D *D  * D   * D   * D )D  7>@D  0@@@?@@Shifting#$#Shifting %#Idle&#Shifting '#Idle P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost#$,@GG,@G' E~ @*D *D *9@D  * D   * D   * D ) D  79@D  0@@@@@?,/!@"ee B~ *@ #$&@G@G"@G$@' R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease #$ @G$@G@G.@' I~ @  *D   *D   *D   *(@ D   * D   * D   )D  7 (@D   BD@ C!@* CCCC+I@( <@ D DB(  DD B# I@ %  !# $@G.@G@G4@' O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 6 Dp@4>@(  D D B( 4@ D D B# >@ %  !# $@G4@GG9@' D~ @  * D   * D   * D   * D   *A@ D   * D   )D  7 A@ D  6 D@49@(  D D B( @ D D B# 9@ %  !# $G9@% &' ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 6 D@4(@(  D D B( *@ D D B# (@ %  !.' ~ @  * D  * D  * D  * D  * D  *6@ D  ) D 7 6@ D  6 D@4A@( 6@ D D B( D D B# A@ %  !.'~ ?~ @~ @ ~  @ ~  @ ~ (@~ 6D0@46@(DD B((@D DB# 6@ %!.'~ @* D* D* D * D  * D  * D)6@ D 76@ D 6EFFFFF,6@6@(DDB(DDB# 6@ %!'FModified Demand-> D@D<C@D9@D (@ D  A@ D  6@ D6@D JTotal Shifting:H!@ D#D@ % #<C@ % #9@ % #(@ % #A@ % #6@ % #6@ % #`h@ % Change#Y@ % 20 ~ ?~  ?!~ !?!~ !?!~  !? !~  !? !!!!+K2@D A $=?=?=?=?=? ==~ ?2@  S~ @ 32~ 2?2~ 2?2~  2? 2~  2? 2~  2?224LD S 2=$=?=?=?=?=?=~ @  H~ @5~ ?~  ? ~  ? ~  ?~ ? 4LD S>>*>?>?>?>?>?@  I~ @~ 5?~  ? ~  ? ~  ?~ ? 4L@D I ~ ? ????@@  F~ @~ 5?~ ? ~  ? ~  ?~ ? 4Ln+@D G ?? ???@n+@  T~ @~ 5?~ ?~ ? ~  ?~ ? 4LJ @D N ??? ??@J @ ~ @~ 6?~ ?~ ?~  ? ~ ? ,MϢ?D ???? ~ ?AϢ? F# Available ->,ʴD@eeB,C@eeB,)9@eeB, h4@ ee B , :@@ ee B , S6@ ee B,i6@eeB#,ʴD@eeB,C@eeB,)9@eeB,h4@eeB,:@@eeB,S6@eeB,i6@eeB Idle ->!0Hr DD0!0( DD0!0= DD0! 0v!@ D D  0! 0` D D  0! 0= D D 0!02? DD # Total Idle:#I#@ %!Hr DD!( DD!= DD!v!@ DD!` DD!= DD!2? DD##@# %m~ A@F#2#(&3@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB 2#(DDB(0b@DDB(+@DDB(*@DDB(DDB((@DDB(DDB#T@  %&.!؄؉?DDNDV4lL'U(u{eQEJz37'EGG5J/Jz (T0!(b"(b#(b$('((()(b*(b+( #!#"#""Cost of shifting one unit"~ "@"!"m:@ D"D###Cost of one idle unit#~ #?#!##@$ D#D$#!$>B@ D"D#'#'2@2@ '(#(&@@&@ ()#)"@$@"@ )*#*@D@@ *+#+K@ +""EBBBB8`  (   p  6NMM? d(#]`  I"??3` >` >` >` ><p,$( 3f3f3 ,r , 0~  @x ]~ <Sequential Management<rr , 0~  @ +  ]~( <Simulataneous Management<q3d23 M NM4 3Q ;%%  Simult. IdleQ ; %%Q ; $$Q3_4E4 3Q ;''  Sequen. IdleQ ; ''Q ; &&Q3_ NM   d43_ NM   d43_ NM   d4E4D $% M 3O&Q4$% M 3O&Q4FA< 3O3 3*#M43*#M4%  ZM3Ol&Q (Amount of Shifting'4% [;MZ3O7&Q  Idle Time'4523  NM43d" 444eee xp  6NMM? N0] `  I"??3` >Y` >Yqп3d23 M NM4 3QQ ;'+Q ;'+Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA3-' ' 3OSR 3*#M43*#M! M4523  O43d"  -3O % M3OQ443_ M NM ] MM<4444eee > @''' I  dMbP?_*+%"??U>@ Avi Dechter Avi DechterMicrosoft Excel@MrL@v ՜.+,D՜.+,D PXd lt| 91  Basic ModelDemand ManagementSmoothing IndexShift Scheduling SimultaneousSheet3Chart9  WorksheetsCharts 6> _PID_GUIDAN{ACAB97E1-F4CF-11D2-8D19-00E09803264D} FMicrosoft Excel ChartBiff8Excel.Sheet.89q Oh+'0@_9986571576=F FIS4uS4Ole CompObjEHbObjInfoWorkbookGI>SummaryInformation(JDocumentSummaryInformation8 1Table,      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~ IBa=< -!=Ze8X1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial1IArial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0;\-0;;@\l 0;\-0;;@                + ) , *    # "  ( "8@@ "8 @ "8@ "8  "8  ( #8@@ #8@ #8  @ " #8 @ #8 #8 "8""@ @ "8" @ "< @ "< @   @  #8UU@ @     $""    # #8 #8@   (@  ( @ "8 " @  (@@  (@  (  @  (  ( #8  (  "@ @  "@  " @  @@  @  @   @    "<""@ @ "" solver_preư>" solver_preư>" solver_preư> solver_rel1 solver_rel1 solver_rel1 solver_rel1 solver_rel2 solver_rel2 solver_rel2 solver_rel2 solver_rel3 solver_rel3 solver_rel3 solver_rel4 solver_rel4 solver_rel4 solver_rel5 solver_rel5 solver_rel5 solver_rel6 solver_rel6 solver_rel6 solver_rel7 solver_rel7 solver_rel7 solver_rhs1# solver_rhs1# solver_rhs1# solver_rhs1#% solver_rhs2; % solver_rhs2; % solver_rhs2;% solver_rhs2; % solver_rhs3; solver_rhs3# solver_rhs3#% solver_rhs4;% solver_rhs4;% solver_rhs4;% solver_rhs5; ! solver_rhs5:! solver_rhs5:% solver_rhs6;% solver_rhs6;% solver_rhs6;! solver_rhs7:! solver_rhs7:! solver_rhs7: solver_scl solver_scl solver_scl solver_scl solver_sho solver_sho solver_sho solver_sho solver_timd solver_timd solver_timd solver_timd" solver_tol? solver_tol" solver_tol?" solver_tol? solver_typ solver_typ solver_typ solver_typ solver_val solver_val solver_val solver_val\  3  @@  =To->P E R I O DOriginalFromDemandCostPERIODModified Demand-> Increase-> Decrease->Change Max ChangeShiftingIncreaseDecreaseTotalSmoothing Index: P e r i o dPeriodSHFT Total Idle Demand -> Assigned Available ->Idle -> IdleAGNTotal Shifting: Total Idle:Simult.Sequen.Demand-> Shifting->Total SmootingIndex-> Scheduled ->Cost of shifting one unitCost of one idle unit Smoothed Original DemandMaximally SmoothedPartially SmoothedPercent Smoothing:Percent Percentage->shiftingIndexpercentidle:% &Pb&h&_';lG'|r't?(trb0blArqLb j~br|bM_rqbfb,D`T0Н0b<Ǝ蜐bCB*`T0bb蜐bgYqB*`T0bip0b~bbb~A?fXb\br|~T0bt00运b̎zm00b E000bbb߿0b|~bt0bsolver_val7ent0]4bXwqq~b00lb|b@Xw(蜐BGb@BG B*$`T0  b*W`T0<8b` 0蜐b@Fase-??C3` >Y!` >Y$` >Y%3d23 M NM4  3Q: shiftingQ ;Q ;Q3_4E4D $% M 3O&!Q4$% M 3O&%Q4FAy 3Oe 3*Y@#M43*V@#M! M4% 5D M3O&$Q ,Smoothing Percentage'4% MZ3OL&$Q  Total Shifting'4523  NM43d" 3_  M MM ] MM<444% M!3OQ'44 e)\h4@)\hD@ףp= M@)\XQ@(\S@33333sV@QxW@= ףp}X@ Y@e$@4@>@D@I@N@Q@T@ V@e>  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )dcloseee@4"d,,??U} I} } } } I} } I} } I} } I} } I} } I} } I}  #} I} "$$T0$b $b $ $ $ $ $b $b  $  $0% $Tt  $it  $tg $ 0$0 $@b $ 00$K0@0$0 $$b$$$b$b$b$$b To->P E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#W~ W~ ?W~ @ W~  @ W~  @ W~ '@W~ @0?@@@@@#~ ?X<@D YXD YX@?D Y X'0@D  Y X@ D  Y X D YZD YI@ D  0@?@@@@#[~ @[~ [~ ? [~  @ [~  @ [~ '@[~ @0@@?@@@#~ @XD YXI;;@D YX%&@D Y X D  Y X D  Y X D YZD Y>@D  0@@@?@@Shifting# P [~ @[~ @[~  [~  ? [~  @ [~ '@[~ @0@@@@?@ Cost  ~ !T@$".PD!N~ # E~ @XD YXD YX}8@D Y X D  Y X D  Y X D YZ D Y9@D  0@@@@@?,/ V@ee B  ~ !Q@$".ii?"PD!N~ #@ R [~ @[~ @[~ @ [~   [~  ? [~ '@[~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$".ii? "PD!N~ #@ I~ @  XD  Y XD  Y XD  Y X(@ D  Y X D  Y X D  Y ZD  Y (@D   @ @? '0@ @ I@( <@ D DB(  DD B# sH@ %  ~ !I@$ ".ى؉? "PD !N~ #"@ O [~ @ [~ @ [~ @ [~ @ [~  [~ '? [~ @ ~  I;;@ %&@$ >@(  D D B( 4@ D D B# >@  %  ~ !D@$ ".ii? "PD !N~ #,@ D~ @  X D  Y X D  Y X D  Y X D  Y XJ6@ D  Y X@ D  Y Z@D  Y A@ D    }8@$ 9@(  D D B( @ D D B# }8@  %  ~ !>@$ ".5H4H? "PD !N~ #5@ [~ '@ [~ '@ [~ '@ [~ '@ [~ '@ [~ ' [~ '? 6 (@(@(  D D B( *@ D D B# (@  %  ~ !4@$ ".ى؉? "PD !N~ #?@ ~ @  X D Y X D Y X D Y X D Y X D Y X6@ D Y Z D \ 6@ D   J6@~ @ @~ A@( 6@ D D B( D D B# @@ %  ~ !$@$ ".}˷|˷?"PD !N~ #G@[~ ?[~ @[~ @ [~  @ [~  @ [~ (@[~ 66@6@(DD B((@D DB#6@ % ~ !@$".?"PD!N~ #M@~ @X DYX DYX DY X D Y X D Y X DYZ6@ DY6@ D 66@6@(DDB(DDB#6@  % # Smoothed $2Total Demand-><@DI;;@DvB<@D '<@ D  H <@"D  <@D/:@D Shifting->] V@ D #<@ % #I;;@ % #vB<@ % #'<@ % #H <@ % #<@ % #/:@ % #`h@ % Change#Y@ % 00  Increase->( -?DDB!(!DDB!(!>DDB!( ! D DB !( ! D D B !( !D D B!(!DD B+Smooting ( ?DDB(!DDB(!DDB(!DDB(!DDB(!DDB("DDBChange  Decrease->($DDB%(%>DDB%(% DDB%( %ʺ= DD B %( %d= D D B %( %=D D B%(%-?D DB,Index->#-P@  % ($DDB(%DDB(%DDB(%DDB(%DDB(%DDB(&?DDB#@ % 0#0<@<@<@<@<@<@;@#`h@ %N D#D#D#D#D#D#D#>+0q6;xWHHHHHH $T0!$b # !#DT(  Tp T 6NMM?$09,@]`  I"??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA  _ 3O +s 3*?#M43*N@#M4%  #M3Om&Q &Percent Smoothing'4% ]MZ3OP&Q  Total Shifting'43d" 444 eee >@  I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!* )ds#)  solver_rhs,"DP E R I O D Original*# From ~ ?~ @~ @~  @ ~  @ ~  @~ @Demand*#W~ W~ ?W~ @ W~  @ W~  @ W~ '@W~ @0?@@@@@#~ ?X%8<@D YX2@D YX D Y XD  Y X@ D  Y XD YZD YI@ D  0@?@@@@#[~ @[~ [~ ? [~  @ [~  @ [~ '@[~ @0@@?@@@#~ @XD YX&$@D YX$`@D Y X0@ D  Y X D  Y X? D YZD Y>@D  0@@@?@@Shifting# P [~ @[~ @[~  [~  ? [~  @ [~ '@[~ @0@@@@?@ Cost  ~ !T@$".PD!N~ # E~ @XD YXD YX9@D Y X D  Y X D  Y X D YZ D Y9@D  0@@@@@?,/DS@ee B~ V@  ~ !Q@$".ii?"PD!N~ #@ R [~ @[~ @[~ @ [~   [~  ? [~ '@[~ @0?@@@@@DemandIncreaseDecrease  ~ !N@$".ii? "PD!N~ #@ I~ @  XD  Y XD  Y XD  Y X(@ D  Y X D  Y X D  Y ZD  Y (@D   %8<@ 2@$ @ I@Z ( <@ D DB(  DD B# H@ %  ~ !I@$ ".ى؉? "PD !N~ #"@ O [~ @ [~ @ [~ @ [~ @ [~  [~ '? [~ @ ~  &$@ $`@ 0@? >@ Z (  D D B( 4@ D D B# =@  %  ~ !D@$ ".ii? "PD !N~ #,@ D~ @  X D  Y X D  Y X D  Y X D  Y X9@ D  Y X:@ D  Y Z@D  Y A@ D  0 9@ 9@ Z (  D D B( @ D D B# 9@  %  ~ !>@$ ".5H4H? "PD !N~ #5@ [~ '@ [~ '@ [~ '@ [~ '@ [~ '@ [~ ' [~ '? 0 (@ (@ Z (  D D B( *@ D D B# (@  %  ~ !4@$ ".ى؉? "PD !N~ #?@ ~ @  X D Y X D Y X D Y X D Y X D Y X6@ D Y Z D \ 6@ D   9@ :@ @ A@Z ( 6@ D D B( D D B# e@@ %  ~ !$@$ ".}˷|˷?"PD !N~ #G@[~ ?[~ @[~ @ [~  @ [~  @ [~ (@[~ 06@6@Z(DD B((@D DB#6@ % ~ !@$".?"PD!N~ #M@~ @X DYX DYX DY X D Y X D Y X DYZ6@ DY6@ D 06@6@ Z(DDB(DDB#6@  % # Smoothed $2Total Demand->%8<@DD<@DL;@D <@ D  ;@ D  P:@ Ddc:@D Shifting->iDS@D #%8<@ % #D<@ % #L;@ % #<@ % #;@ % #P:@ % #dc:@ % #`h@ % sChange#Y@ % 00  Increase->(dLm?DDBe(fe>DDBe(fDDBe( f=D DB e( fD D B e( fD D Be(f@=DD BgSmooting # l?*!!!!!"Change Max Change Decrease->&`DDBa(bDDBa(b? DDBa( b DD B a( b@.? D D B a( bƂ6> D D Ba(b"D DBcIndex->#j?  % $%%+1?~ %%?%b 4>~ &#l? %~ 4@(Smooting '1<@ DDD'%8<@DDD'<@DDD'L;@DDD'Z;@DDD' :@DDD'P:@DDD ( Percentage->hX?DPercent >#$_X?2D1~ _D@.#shiftingB$@4@>@D@I@N@Q@T@V@.#IndexBI@D@>@5@0@&@@@@?.#percentB@@@@@@V@"@Y@.#shiftingB$@4@>@D@I@N@Q@T@V@.# idleBK@$@@.@$@@D#D#B.XqBVx>H $T0!$b # !#D  ( @A@A p  6NMM?$09,@]`   I" ??3` ` ` i3d23 M NM4  3QQ ;##Q ;""Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA j 3O }+x 3*?#M43*N@#M4%   M3Om&Q &Percent Smoothing'4% ]MZ3OP&Q  Total Shifting'43d" 444 eee xp   6NMM?@.] `t  I"t??3` >Y` >Y` >Y03d23 M NM4  3Q:  idleQ ;Q ;Q3_4E4D $% jM 3O&Q4$% jM 3O&Q4FA\ B 3O{ 3*Y@#M43*#M! M4% Os mM3O&Q ,Smoothing Percentage'4% MZ3O7&Q  Idle Time'4523  NM43d" 3_ M MM ] MM<444% jMP3OQ'44 eee xp   6NMM? !-] `  I"??3` >Y ` >Y"` >Y#@3d23 M NM4  3Q: shiftingQ ;Q ;Q3_4E4D $% cM 3O& Q4$% cM 3O&#Q4FA_ 6 3O 3*Y@#M43*V@#M! M4% Xo pM3O&"Q ,Smoothing Percentage'4% 5MZ3OL&"Q  Total Shifting'4523  NM43d" 3_  M MM ] MM<444% cM@3OQ'44 eee   >$@111 I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d4!*()d"dX??U} } I}   T0 b b b    b@ b  ~ b b @ b  bO b bNNNN P e r i o dNNN N0O?O@O@O@O@O@O@PTotal   Original Demand0I@>@9@(@A@6@6@#`h@ %   Increase(<@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB#I@ %   Decrease(DDB(4@DDB(@DDB(*@DDB(DDB((@DDB(DDB#I@ %   QQQQQQQRSmoothing Index:QI@D   ^Percent Smoothing:/_ DDDD    ^_ Maximally Smoothed0<@<@<@<@<@<@;@#`h@ %    Increase( ? DDB(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB# ? %    Decrease(  DDB(  DDB(  DDB(  DDB(  DDB(  DDB( ? DDB# ? %    QQQQQQQ RSmoothing Index: Q? D     ^Percent Smoothing:/ _?DD DD    ^_ Partially Smoothed0>@A@>@A@9@4@4@#`h@  %   Increase($@DDB(@DDB(DDB(@DDB(DDB(DDB(DDB#4@ %   Decrease(DDB(DDB(@DDB(DDB($@DDB(@DDB(DDB#4@ %QQQQQQQRSmoothing Index:Q4@D^Percent Smoothing:/_? DDDD *ghB`dz"dz"pT0X(  Xv X <NMM?]`&]   I"??3` >Y` >Y` >Yqп3d23 M NM4 3Q: "Original DemandQ ;QQ3_  NM  d4E4 3Q: (Maximally SmoothedQ ;QQ3_  NM  d4E4 3Q: (Partially SmoothedQ ;QQ3_  NM  d4E4D $% M 3O&Q4$% M 3O&Q4FA-e 3O- ) 3 b#M43*$@J@#M! M4% j LJM3O(&Q Period'4% [RMZ3O-&Q Denand'43"  3O % M3OQ44444eee >@ I  dMbP?_*+%MCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!* )d A2>$ ee@"dX??U} m}  } $} }   T0 b  @b Zb@     b b  ~  K@b b! 0 b    {   b   bPeriod 0?@@@@@@   Demand -> %8<@ ZD<@ZL;@Z<@Z ;@Z P:@Z dc:@Z  Assigned    *?8?9?9?9?9? 9:  S'@    S~ @5$????? ;  T @    H~ @ 5$????;?  TĘK@    I@5? ???;?  T!@    F@5?? ??;?  T){@    T @5???  ?;?  T)&@   $ @6???? ~ <?  Uc@ # C@ % >     Scheduled ->, =9<@ e e B, D<@ e e B, XL;@ e e B, ;@ e e B, e;@ e e B, :@ e e B, H^:@ e e B  1 Total Idle    Idle ->! 0q=  D D! 05=  D D! 0U=  D D! 0  D D! 0b  D D! 0@^=  D D! 0p D D 0# V= % N    IdleShifting ~ T@$. PDN9@ ~ Q@$.ii?PDN4@@ ~ N@$.ii?PDN.@@ ~ I@$.ى؉?PDN$@"@ ~ D@$.ii?PDN,@ ~ >@$.5H4H?PDN5@ # W_h@ %~ 4@$.ى؉?PDN?@  ?׶m;@ D ~ $@$.}˷|˷?PDNG@ ~ @$.?PDNM@ 6?T5$h||~~~$`$Jbbbbbb>@&( O v  <NMM?x]`  IMCanon MultiPASS L6000 Printer odXXCanon MultiPASS L6000 Printero o o 4!*()d"dX??3`  `  ` ` <P$(  r  0~  @ }]~ <Total Shifting<Urr  0 ~  @W] ~P  < Idle Time<< i3d23 M NM4  3QQ ;Q ;Q3_4E4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FA1S 5 3OU 3*?#M43*N@#M4% | ,sM3O~&Q &Percent Smoothing'4523  NM43d" 444 eee xp  6NMM? 0@]`$  I"$??3`  `  `  i3d23 M NM4  3QQ ;Q ;Q3_4E4D $% M 3O& Q4$% M 3O& Q4FAS 5 3O + 3*?#M43*#M! M4% B| ,sM3O~& Q &Percent Smoothing'4% ]iMZ3O@& Q  Idle Time'4523  NM43d" 444 eee >@A @ I  dMbP?_*+%MCanon MultiPASS L6000 Printer od,,Canon MultiPASS L6000 Printero o o 4!*()d@A@A@A@A@A@A@A@A@A@A"d,,??U} } } } } I} } I} } I} } I} } I} } I} } I} }  #} } } ,((T0(b (b (b ( ( ( (b (b  (! (~  (b  (b! ( (b ( (i@ (!(K@{ (((b(((b((Z@(o(((( To->P E R I O D Original0' From ~ ?~ @~ @~  @ ~  @ ~  @~ @ Demand0'~ ~ ?~ @ ~  @ ~  @ ~ '@~ @0?@@@@@'~ ?*D@D *!@D *D  *D   * D   * D )D  7I@ D  0@?@@@@'~ @~ ~ ? ~  @ ~  @ ~ '@~ @0@@?@@@#$Simult.%&Sequen.'~ @*D *>@D *D  * D   * D   * D )D  7>@D  0@@@?@@Shifting#$#Shifting %#Idle&#Shifting '#Idle P ~ @~ @~  ~  ? ~  @ ~ '@~ @0@@@@?@ Cost#$,@GG,@G' E~ @*D *D *9@D  * D   * D   * D ) D  79@D  0@@@@@?,/!@"ee B~ *@ #$&@G@G"@G$@' R ~ @~ @~ @ ~   ~  ? ~ '@~ @0?@@@@@DemandIncreaseDecrease #$ @G$@G@G.@' I~ @  *D   *D   *D   *(@ D   * D   * D   )D  7 (@D   BD@ C!@* CCCC+I@( <@ D DB(  DD B# I@ %  !# $@G.@G@G4@' O ~ @ ~ @ ~ @ ~ @ ~  ~ '? ~ @ 6 Dp@4>@(  D D B( 4@ D D B# >@ %  !# $@G4@GG9@' D~ @  * D   * D   * D   * D   *A@ D   * D   )D  7 A@ D  6 D@49@(  D D B( @ D D B# 9@ %  !# $G9@% &' ~ '@ ~ '@ ~ '@ ~ '@ ~ '@ ~ ' ~ '? 6 D@4(@(  D D B( *@ D D B# (@ %  !.' ~ @  * D  * D  * D  * D  * D  *6@ D  ) D 7 6@ D  6 D@4A@( 6@ D D B( D D B# A@ %  !.'~ ?~ @~ @ ~  @ ~  @ ~ (@~ 6D0@46@(DD B((@D DB# 6@ %!.'~ @* D* D* D * D  * D  * D)6@ D 76@ D 6EFFFFF,6@6@(DDB(DDB# 6@ %!'FModified Demand-> D@D<C@D9@D (@ D  A@ D  6@ D6@D JTotal Shifting:H!@ D#D@ % #<C@ % #9@ % #(@ % #A@ % #6@ % #6@ % #`h@ % Change#Y@ % 20 ~ ?~  ?!~ !?!~ !?!~  !? !~  !? !!!!+K2@D A $=?=?=?=?=? ==~ ?2@  S~ @ 32~ 2?2~ 2?2~  2? 2~  2? 2~  2?224LD S 2=$=?=?=?=?=?=~ @  H~ @5~ ?~  ? ~  ? ~  ?~ ? 4LD S>>*>?>?>?>?>?@  I~ @~ 5?~  ? ~  ? ~  ?~ ? 4L@D I ~ ? ????@@  F~ @~ 5?~ ? ~  ? ~  ?~ ? 4Ln+@D G ?? ???@n+@  T~ @~ 5?~ ?~ ? ~  ?~ ? 4LJ @D N ??? ??@J @ ~ @~ 6?~ ?~ ?~  ? ~ ? ,MϢ?D ???? ~ ?AϢ? F# Available ->,ʴD@eeB,C@eeB,)9@eeB, h4@ ee B , :@@ ee B , S6@ ee B,i6@eeB#,ʴD@eeB,C@eeB,)9@eeB,h4@eeB,:@@eeB,S6@eeB,i6@eeB Idle ->!0Hr DD0!0( DD0!0= DD0! 0v!@ D D  0! 0` D D  0! 0= D D 0!02? DD # Total Idle:#I#@ %!Hr DD!( DD!= DD!v!@ DD!` DD!= DD!2? DD##@# %m~ A@F#2#(&3@DDB(DDB(DDB(DDB(6@DDB(DDB(DDB 2#(DDB(0b@DDB(+@DDB(*@DDB(DDB((@DDB(DDB#T@  %&.!؄؉?DDNDV4lL'U(u{eQEJz37'EGG5J/Jz (T0!(b"(b#(b$('((()(b*(b+( #!#"#""Cost of shifting one unit"~ "@"!"m:@ D"D###Cost of one idle unit#~ #?#!##@$ D#D$#!$>B@ D"D#'#'2@2@ '(#(&@@&@ ()#)"@$@"@ )*#*@D@@ *+#+K@ +""EBBBB8`  (   p  6NMM? d(#]`  I"??3` >` >` >` ><p,$( 3f3f3 ,r , 0~  @x ]~ <Sequential Management<rr , 0~  @ +  ]~( <Simulataneous Management<q3d23 M NM4 3Q ;%%  Simult. IdleQ ; %%Q ; $$Q3_4E4 3Q ;''  Sequen. IdleQ ; ''Q ; &&Q3_ NM   d43_ NM   d43_ NM   d4E4D $% M 3O&Q4$% M 3O&Q4FA< 3O3 3*#M43*#M4%  ZM3Ol&Q (Amount of Shifting'4% [;MZ3O7&Q  Idle Time'4523  NM43d" 444eee xp  6NMM? N0] `  I"??3` >Y` >Yqп3d23 M NM4 3QQ ;'+Q ;'+Q3_4E4D $% M 3O&Q4$% M 3O&Q4FA3-' ' 3OSR 3*#M43*#M! M4523  O43d"  -3O % M3OQ443_ M NM ] MM<4444eee > @''' I  dMbP?_*+%"??U>@ H\p  Avi Dechter Avi DechterMicrosoft Excel@MrL@v ՜.+,D՜.+,D PXd lt| 81  Basic ModelDemand ManagementSmoothing IndexShift Scheduling SimultaneousSheet3Chart8  WorksheetsCharts 6> _PID_GUIDAN{ACAB97E1-F4CF-11D2-8D19-00E09803264D} Oh+'0,8DT ht    ]A Spreadsheet Model for Simultaneous Mang'&@!& Oc% !6E;:)pG[X?m_h~Q% w(YՓx'dWHD使5: VDPY=QTOEE!!H‚&6t(tD4=MDO &s;Pvv(l' ۉvH9i(Gyrz% % G# K$BWQ| ]y%Awsf'=Iivs\N2&߫{l VrLR OhFe\Ej A25L½YW8 ;4)qyi'^ <>%.7Q>vD;B9VrN} )Uodd0( ,@o`Ǵ}cl}U(,8aA# aGy#.1B>F@Y!Y#d}\>1X+8qX$N2=I2}dzd:$uI$ӓ$I'I FzX$Vp%4?f%.jgIKYRfzd%.jgIKYR'0댑^7HO&ȿ -"6Ar 㱉99{1y?ato>~bf7ߟPY{|&kk_"d%Xa\m.}pm/Fw{a}\߻xI t=R{I~Y`$!K,䷐ K򰿷{Ad{Y`$?,]O^@'Xj/ Kqd{<,]O^F'X7s9!>1N$;z۹'W;z#TNk<}v?fncv~w:RG:gZU}a :ukȪ0ŤjWѯFW#hՈ~5j$~66 mͨ(B]F]Da*2*" PaQaQ؋ { {^TkTK^^pCpȨp(BCFCD*3*sKouV@ATi:FU`UGQm!XjՑƪcT[uZuVVi:FU`UGQm!XjՑƪcT[uZuVVi:FU`UGQm!XjՑƪcT[uZuV-z{ 47~UBmP@:WjvyvNZp:ksn{fs;scu벁9< u6V80ۤ©/ |?|5اp#eku ZQ9+g\9+dMa p hT~\ދX_ڸ0},%5Bug"+ :W^dvh'UdjU~M^ۯ&̕! VNym$Xj)K2X9嵕`S+r,r`VNVNI)S^[9 Z9erk+'R+ VNym$Xj)K2X9嵕`S+r,r`VNu.K^e,6_,]YvYkOXo>~8|N{9+'"g,L7{K{'pi^PXS4^7V9*OFa*4D9t) j{+ZAXX:1Ŭ*dUYUU#`d5V Z:FaFVMXl5'z֯?5a#k.‹F,FV5mdM fZOKt!k6ᾱl7!kvb^1Ŭ:dYuՈF#ڐfdV.EVKXC2k YcFaOX/; $ ݈GȺld]ְ{3=B}4ʡB}+SȚ24>dNi*"S4 ˼~רj(? Ri%2?̚ Ddu#<  C A2 ~cRZY7 /`! ~cRZY7'cW;. xZmh\Y>_m6fmcweX䣻Ю] :ln`Gnin.MPCPl?UEv%HD j,RK3es3s ˜{y7ϼs&bLꍌ5`I*{\hžO[EL<(5ZWxc?M$;Ƀׯή(1&ܬ֯_6mڤU{{:xjjǎJM(͊*z_3!,T <!`!x B 4"@@h (nPg~g~Vie "@,@DXm8 c@K- <!,@DXY+šbxBWCclp@`갍, @hE ^<kãڬf=0" @} "@,@Dhha= M_^6 44!B@@hEІfmkh~/cVomСCܹs… ͛իΝ;ݻ޽{jaaA=|P=~XKҥxO0mָɎN'FNQX#S5|uTgOvE#I'%?j}OM \5+,33UQf%G-ͅ~Wupwv$+;h^>19{Ւ]F;vnaY ${*yƨbl:7~1H{X3n~k|oofcr 7ӇOmfA+[w'z'ѭekb3pe}]a]Y\`/-ry lV.o-bzѭ+5u{:a92&hפu\ZlG\{h.SZVڌgg׬k̺-@?BxGG]]]>44ď=raD_sO/$) P@<H$$P@Ё()@ Ц@ ?@@H$$P@Ё()@ FЀ h@$@."@.Ё( @   $P@ЀJX 15ƐH/D|UM@᪀F;0@ HAƇ4 ]*0&B&'909(ăЀl&@M:@4  6@h-0' F4 tĖ*&  @m4 1%J1f]Yc7{O>/^ȯ\¯_ܹo޼߿-h<;]^]lv7FswR9oݲk_)~ZPN򍬞W_o9aw]0TΪ%Ǻ֠RǬcVn/WV&j-ާ񩉩c'Gk>r(]96?#X#iΙL12c^4F[/v7߶JJ}"O\k^CKc.Fm=] ?{RQKvcUEBvTB{P*yWŢyU:pgcJ&tM,z(tE,z=)GQ0*PzR9d]_u}M5Yd]wYcJ3An*{*Ƹ1Or)>ja0\KB'PWf`&`QmB +;nGiBFY;;ٽe7^qS޸>"/mel^,ey1?:oel3I#o__y(xV?C4nDd" <  C A2HnXi@I՝-`!HnXi@I՝lTox՘oTŵ,LFm&v Đ6!MlZ%kv)IĎ;2#3BƉh) |~1b0,㯟_L` Ơ 3 } 2cʏd :cp+{ޒa{95p4nҜg}zp }XO`ˇp?}뵫++J6_Yie B1111OqycĘ~˜v1x\"&{|ˋ +hBrZwڸ^ ʥG`E|K0m`Ĝ~B:_Lܪ뫍 Yo=u!Yc倃= ȏr9HQ!G FJ 8)+# E$jkm5ؚ=XېƭWKkK(.,2ppe|lbK1V(>gNAe ^cnܞKﭹY`DfG8wImH4wlޖ٬*٬O#x.pNik/VD fh:U"͏7,Igskf@p\IܖMle-R%3f qq >E*$~V4_EWU;D-r;u@HniZ/-fU{hD9 94v{AO@<~Kו}jf]-ߺ2ߜQηwW꾦x%u}gŭ_wل`Ӳ>gtzsH91g,9MJɎm\YOW F{3|j K>EX9J]eD.zU \PJdZJεj)1F+DEp,e&PGI#e={={;qظ7IJ> p 3C@re6ǏR^tN!/ Y-u$_E3JrT%$R\CHOG=79Hש)WMє;vڿz ME|Clr'x'V$}Y`!/)/>Dd" <  C A2TCKqrZ?2`!TCKqrZ?$ToPx՘_lTENwe%T RK#<4\J&1V*CH&5<I0!>5O>$y"j,gvbRv۹ݹsggQ=Q%DIW/o1n!-[θ'OT[m3ƞ6G?~agrr&3ϒ+NL&#ESSfCYFرC^#qay1EGňߦS>@ # Ё h`)@404t ۇ1 h =C|O@t @:@ H$P@c5 (DH"D.HH$P@RЀ h`i@  ( q)Rh$4 8l{8V:0 tcuG166F6' l @Jt`M :@ H@j-ቲ >9@GlVmRЁ h`i@40V3SƞcF|Iݻؘ8r8v옸r8zv횸~yu떸s0wgx&0a'1q;uQ,v?ze=#RIm93gu|z] !,jަ#E+oGz}˛ؼ տʦ6NƜ9.LY:yh@NsCr:~@Nȩ: '2*<\.2Aoy}=CWe]AehyǶGGD];~,|QK=S]ېIl F =C-xGlXzYO$R)Vb#*bJWbʮ:)J7 5[M ej{;moõ<ldh)gC8ЌvimgZ@;%\msn-y8::p%}A6/ wRڽH)6v/:|1Ts\ 9x2 ֒QӭzӟQUǭǭǭǭُ+߿>/vsFJ_e^̲jڭ,v+˪ʲ`+]ؿ߫5˳A߿w"%-go/w;⯿KM|`w~'&&&_Ne%B):3^t+:k-_kW ._SqUr*9OtqT[wZ_AUA%ĸTb\):JlǕZr<Frx\Άݟe6WXѓɊ22=sUib/)OCSb^>?J+({yOrJ܉>ޏ?WjeE"@a Dd<  C A2u|EE,+`9`!Xu|EE,+X'!G0*&xZ]h\>;IڕBmx7P`*a}h"WeVYZl.L욆 H`96jч0fsϒ-҅ogw=̽{ "rOYkI'W|9;DgᏄ;~*;S,v$>[[Nʍ7b(l"/#w-w)䔴:+}rOgd "Pd P `Rh P `2hm#10>A%/!~ K_x@0HX4x@0ȀXYp `"- Z(hQТ<  ЀHX x@Ypu bZЈƶ.:NCk~ *w<` (<`aֺxyp 48M9p  `Rr:}h P `eub+D ^dۀ,@Bxh `' P `2hqbj:u5vn)yyIyiYk˗7[;w{‚|ݧw޹is3sEֳ"ѷQ![FFqw٫r/I?X5+utA !p c0>:cScW܇4sד s\U#qqqqq[e[[e[5;q94uyXѧZz_/>)9OӀoiu𨨿qTI gq};*7[tΓlTJ }@WYTJ<,^9H[Zʉ?PA8KEtog~xV8KTmVM7X^NJƵ 蘀t4(ꇊggh?/̥M'AOGa}GFL'Řۚ{+p)1WJٽݏcn[nkRvbn[l{t 9W>9Xf3[SL3s3R̜g菱p̲̎w> Y^ DO70rlpu_Թcqy-Z>~?LXQ׋#G U$o@ʙl.R gX5R{#x~3p`x|  <>h3V15c>taKm8:,@c=}=?`x hi26/)@@C-yFx@c 6ZpCO|jh6`24֙ <>p 9Σ9/ڜcm^lڽ{zgK/=Ξ=}]uuEGyuUu ?Y`ǏxiƓWtQ1rLu22K`"a"<ϔbm$FWo&ͫ_chgh^^;ö9/sb lב/^n:#FY+y}n[`=,G39yYP^I̾,KpF]zf=YGϬgѳ{`^NrS=TϘ3 3rL9z=S+i2TOZP=iAՓTOZP=K0Tϸg3w;z8s2TTTTTTOF7Ϣh~k,` y8cp*c3;NO>Y+W8k-u5Xu 뺆ߠk^{tKEEdo= '⼎K}Ry DMC qD<8964{W݂er Նyxu:5+Fc;RCTo*`*5=džY}_97|`pl lqgތ=nTV[2ɯ,&]i鰘C&k1H,f2L,Lż0L7RWmC{׃Ok>}Yϑ<;v9ͳyvZV7YwyVH[#ujNboLO8gK>OOžX{؋~י:ۚkM|2yj7f/qv,&NŜ&i(;9)Tz֭UE;ߝ=st g2e%*4r광S:mi#N9u:8s9Ns9tq:8u:NG>Nq괏S}:iN8u:8w;Nytq:8vN;Nӎ~A _P:iN3:4#ӌN3:4#tq:8q8N' tq:8p$uiNR9I$u岞 XBü((YRü('Auue~|7ljd*{/dqR>kǑ>YNH? 5i,F5t&'zc`^KGzֶ֋l\?k[Zk^kZڼ&foP.^i 3=v?֠Y+}cE:(ً{bwᤝ~-Z4,}y<t6b*jm_#O$;4~5 8' /ٳov;VKzK-|yuӮ~>De\/QdP˝]>!H[o"Sc7n.iIRxcm==x'xhMs;YU%wbwڈ55xݰ=qFve:`_R؏a{8ڕj\RTx_r{f|bT9c?؇]Yu=cAjc}r届EՐU/=PE551}x*UQ]r+ a$gO9 9mG0=8wo݅_5s6Z[L[jl͎iڜvO=ᴻ۽]W~yfOrI,I[|+f'~s\ՅZ;5\&??_1 *d2=ֻgo|k% +6Xxڰ>vgY*Q9#}f1J3V<9ۚޚO&U+k &Ux|]A[*tV||kpj87)\^joT4((F_"H"Dd<  C A 2HlkmޛYtoI$V`!lkmޛYtoIAH. "xՙohGƟh`9V)TJ@EڌFO+X*tR0Ђh~*hU(~RRU>3;j栁쳳;3dL c`M] 2LMY8}q`p{ßް a!|MUUU1m4QWW'Dcchjj۶m6m6lWW͛%w#n\:'_$1HI9DM N$QDCIhDE41QD?G9Nu""IH&@Q'(!ԉ$hbfE41E2X$cE2DE41:DMIhDM FihCb\1Kc5IHێ&z!ԉtC`=KM4`i`ćA5!lKqP'u(DE41:DM NP'j-eBa <&iuV,51CQ'(!ԉ$hbfѧbqbc{ވO0OرCnq_ ~GLCovwL9IfB)#rϹ>|+oFd`!&Y۳00XcLx=07 УY$),d+XXYwi3=Oc2C/ `a-m}aZ"k=^{-v{km^kZךz>ltN$]KKG?j,ևfk0'{z[ {0ҶU~$#k}^Z^{k^kZZf5{k^O1#i{kkkvkwvkQzYUXW<_ǬhvG[);"(zڊYra6Vɽ8w{uwN5N>ϡǭ x??u\E۵hmm>^F6؂Ky>-xӃ Xl}vЂyAl}A03!1g›h9{kuc|gNqYwǏ3E;9Z7uۋ vdhEu GlcЕGUZZTp`[\yLQ9ӢN ۢ ?LQ^K6oOWn/STmӢlo[IXZƤE53XYm3\LQ5sKj^ms\LQ5hQgx]Y?Q~KZ?d>R}a/]t׎ZKB{+r #Ԗ'"=j$\LhCmUB{*V;IdAo_:*#Ge d{ߖdvY +G2o4+Uw /txY۲{w]s7wxc]DG%V` zTo'}f-d,:w8{8~Z8-նvuݲSv3h:O-~W|=*D%(qw/;Q{{>?ѮL-">mZ?أ鈢SummaryInformation(MDocumentSummaryInformation8CompObjjagement of Capacity and Demand in Service OperationsC Sp Power System MooweoweNormaly Avi Dechter2i Microsoft Word 9.0 @F#@/3@h+S4@h+S4, 9 ՜.+,0T px  5 e{7G ]A Spreadsheet Model for Simultaneous Management of Capacity and Demand in Service Operations Title  FMicrosoft Word Document MSWordDocWord.Document.89q i6@6 Normal$a$_HmH sH tH 6@6 Heading 1$$@&a$CJ:@: Heading 2$$@&a$5CJ:@: Heading 3$$@&a$5CJ<A@< Default Paragraph Font0B@0 Body Text$a$CJFC@F Body Text Indent$^a$CJ."@. Caption xx5.@". Footnote Text8&@18 Footnote ReferenceH*,B, Header  !, @R, Footer  !&)@a& Page Number:'@q: Comment ReferenceCJaJ,, Comment TextRR@R Body Text Indent 2$0^`0a$CJ0P@0 Body Text 2$a$(>@( Title$a$CJ(zJef|+azJJLKG$:7   9;=O ef|+a     zJf=OP\}wx tuACabp!$$}'~''++B-=/>/#0%0&0l5n5577<<<<<<<<<<<<<<<<<<<<>>?RA^A_AAABB'C(CCCDDDDhEiESFTFUFFFFFF GUGVGWGXGmGnGGGGGGGGHHH8HqHrHsHtHHHHHHHHQIRISInIIIIIIIII%JvJwJxJ{J000000\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\00\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0o50o50o50o50o50o50o50o50o50o50o50o50o50o50o50o50o50o50o50o50o50\0<0<0<0<(0<0SA0SA0SA0SA0SA0SA0SA0SA0SA0SA0SA0SA0SA0SA0SA0SA0SA0@0 0@0@0 0000000000000000000000000000000000000000000000 @5LzN).1@(GnKMzN*,-/02yN+ !t+BDaxz/1::::: 4:::::8OP@O@(  b $ 3 $#"  b 7 3  7#"   h 9 C 9#"  b : 3 :#"  \ ; # #"  b = 3 =#"  b G 3 G#"  H J #  Z K S K  T L C L  NB M S D  NB N@ S D h O 3 O3" B S  ?A&!++#0l5<<<<<<zJ7C".,9!#,$S"\,:H #,;2&3+,=RH$.,Oq+A%{(G];& $,J3tNh Q QtL hqtM}p tK @t _999253630G{J@G{JN U BHL#N####$@$B$$$% %BB(C/C7C=CCCCCD%DUFFFFFF GGGHHIIxJ{J FIB-H-W/c/00'225577UFFFFFF GGGHHIIxJ{J3333333333 "7<=OOPPLvl  6<<<<==>>>>>>E???QARARATFFFF GGGGGGGGGGGHHHHrHrHHHIIIIII,J-JwJwJxJ{J Avi Dechter;C:\My Documents\Papers\Simultaneous Scheduling (newest).doc Avi DechterdC:\WINDOWS\Application Data\Microsoft\Word\AutoRecovery save of Simultaneous Scheduling (newest).asd Avi DechterdC:\WINDOWS\Application Data\Microsoft\Word\AutoRecovery save of Simultaneous Scheduling (newest).asd Avi Dechter;C:\My Documents\Papers\Simultaneous Scheduling (newest).doc Avi Dechter;C:\My Documents\Papers\Simultaneous Scheduling (newest).doc Avi Dechter;C:\My Documents\Papers\Simultaneous Scheduling (newest).doc Avi Dechter;C:\My Documents\Papers\Simultaneous Scheduling (newest).doc Avi Dechter;C:\My Documents\Papers\Simultaneous Scheduling (newest).doc Avi Dechter;C:\My Documents\Papers\Simultaneous Scheduling (newest).doc Avi Dechter'C:\My Documents\Papers\Simultaneous.docA5( //m+XPHp|aWWIhh^h`)0^`0Step . hh^h`OJQJo(-^`Step .PH//m+|aWWA5(DUFFFF{J@dzJP@UnknownG:Times New Roman5Symbol3& :Arial"18hȪ;Ȫ;;, 9{S[@!0d7G# u2Q\A Spreadsheet Model for Simultaneous Management of Capacity and Demand in Service Operations Power System Avi Dechter