ࡱ> \^['` YMbjbj{P{P 8\::^^^^^^^rD>r (.....   ikkkkkk$6!h#9^     ^^.. ^.^.i i^^." obg0 ($($($^              rrr vrrrvrrr^^^^^^ Chapter 10: Notation Single product Cycle inventory = Q/2Average flow time =(average inventory)/(average demand)Holding cost H =hCAnnual material cost = CDAnnual order cost =(D/Q)SAnnual holding cost =(Q/2)HOptimal lot size Q* =SQRT((2DS)/H)Optimal order frequency n* =D/Q* = SQRT((DH)/2S)Order cost given a desired lot size S =(H(Q2))/2DMultiple products Combined fixed order cost S* =S + "for each product i siAnnual order cost =nS*Annual holding cost ="for each product i (DiHi)/(2n)Optimal order frequency n* =SQRT(("for each product i (DiHi))/(2S*)) Chapter 11: Formulas Expected lead time demand DL = LDStandard dev. of lead time demand (L = (when lead time is constant)SQRT(L)(D Standard dev. of lead time demand (L = (when lead time is uncertain)SQRT(L((D2) + D2(sL2))Cycle service level CSL =F(ROP, DL, (L)Reorder point ROP =F-1(CSL, DL, (L)Safety inventory ss =ROP DL also Fs-1(CSL)(LFill rate fr =1 ESC/Q Chapter 12: Formulas Cost of overstocking Co =c sCost of understocking Cu =p cOptimal cycle service level CSL* =(p c)/(p s) also Cu/(Cu + Co)Optimal order size O* =F-1(CSL*, (, $78     # $ % & 0 2 5 6 ] ^ b c d e f j k m ~   ( , . 0 髡hIhH 36hIhH 36H*hRkhH 3H* hH 3hQ0 hH 3hH 3hQ0hO6hQ0hQ06h}A3hH 3H*h}A3hH 36hH 3hH 36hH 3 hO6hOhO6 hO5<$7;<PuOkd$$Ifl0H$  t0644 l` ap$If $$Ifa$gdH 3YMuvcWQ$If $$Ifa$gdH 3kd$$Ifl0H$  t0644 l` apcWQ$If $$Ifa$gdH 3kd&$$Ifl0H$  t0644 l` apcWQ$If $$Ifa$gdH 3kd$$Ifl0H$  t0644 l` apcWQ$If $$Ifa$gdH 3kdL$$Ifl0H$  t0644 l` ap cWQ$If $$Ifa$gdH 3kd$$Ifl0H$  t0644 l` ap  # 8 cWQ$If $$Ifa$gdH 3kdr$$Ifl0H$  t0644 l` ap8 9 a l cWQ$If $$Ifa$gdH 3kd$$Ifl0H$  t0644 l` apl m  4 caUO$If $$Ifa$gdH 3kd$$Ifl0H$  t0644 l` ap0 2 4 6 \ ^ ` b d f h        > @ B F H J L N P R X Z ` b ½ޟ呟|hThH 36 h6hRkhH 36hRkhH 36H*h'K| hRkhH 3h}A3hH 36 hnf>6h}A3hH 36H* hH 36 h}A3hH 3hRkhH 3H*hH 3hH 36 hv s6 hH 3hQ0hH 3 hQ05hH 3hQ05hIhH 36H*04 6 ^ f cWQ$If $$Ifa$gdH 3kd+$$Ifl0H$  t0644 l` apf h cWQ$If $$Ifa$gdH 3kd$$Ifl0H$  t0644 l` ap  b aUO$If $$Ifa$gdH 3kdQ$$IflF0H$  t0644 l` apb d f c^^RI $Ifgdgr $$Ifa$gdi{gdgrkd$$Ifl0H$  t0644 l` apb d f x z      / 0 5 6 7 8 9 : ; 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