Integer programming example
[PDF File]Integer/Binary Integer Programming Presentation
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Binary Integer Programming Problem CHB Inc., is a bank holding company that is evaluating the potential for expanding into a 13-county region in the southwestern part of the state. State law permits establishing branches in any county that is adjacent to a county in which a PPB (principal place of business) is located. The following map
[PDF File]INTEGER LINEAR PROGRAMMING - INTRODUCTION
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GLPK integer solver • GLPK has a very good integer solver. • Uses branch-and-bound + Gomory cut techniques • We will examine these techniques soon. • In this lecture, • Show how to solve (mixed) integer linear programs • Continue to use AMPL format. • This is the best option for solving ILPs/MIPs
[PDF File]Integer Programming - BFSU
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An integer programming problem (IP) is an LP in which some or all of the variables are required to be non-negative integers, i.e., the Divisibility Assumption in LP does not hold. A pure integer programming problem max 3x 1 + 2x 2 s.t. x 1 + x 2 6 x 1;x 2 0; x 1;x 2 integer: A mixed integer programming problem max 3x 1 + 2x 2 s.t. x 1 + x 2 6 ...
[PDF File]Integer Programming and Branch and Bound
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Binary Integer Programming Example: Cal Aircraft Manufacturing Company. Cal wants to expand: Build new factory in Los Angeles, San Francisco, both or neither. Build new warehouse (at most one). Warehouse must be built close to the city of a new factory. What decisions are to be made?
[PDF File]9.1 Introduction to Integer Programming
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9.1 Introduction to Integer Programming An IP in which all variables are required to be integers is called a pure integer pro gramming problem. For example, max z = 3x\ + 2x2 s.t. x, + .v2 ^ 6 (1) .v,, x2 2= 0, xu x2 integer is a pure integer programming problem.
[PDF File]Integer Programming 9
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Integer Programming 9 The linear-programming models that have been discussed thus far all have beencontinuous, in the sense that decision variables are allowed to be fractional. Often this is a realistic assumption. ... integer programs. Consider, for example, the scheduling of students, faculty, and classrooms in such a way
[PDF File]1 Solving an example integer program
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Fact. The optimal objective value of the linear programming relaxation is an upper bound for the objective value of the integer program. Whatever the optimal integer solution is, its objective value is at most 23:5. (It could be equal, or it could be smaller. The integer program might …
[PDF File]Introduction to integer programming - MIT …
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Example 5: Integer programming INPUT: a set of variables x. 1, …, x. n. and a set of linear inequalities and equalities, and a subset of variables that is required to be integer. FEASIBLE SOLUTION: a solution x’ that satisfies all of the inequalities and equalities as well as the integrality requirements. OBJECTIVE: maximize ∑. i. c. i. x ...
[PDF File]A Tutorial on Integer Programming
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An integer programming problem in which all variables are required to be integer is called a pure integer pro-gramming problem. If some variables are restricted to be integer and some are not then the problem is a mixed integer programming problem.Thecase where the integer variables are restricted to be 0 or 1 comes up surprising often.
[DOC File]A Fuzzy Multi-Objective Mixed Integer Programming Model ...
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Declare Integer counter. Declare Integer total = 0. Declare Integer number. For counter = 1 to 5. Display “Enter a number: “ Input number. Set total = total + number. End For. Display “The total is total: “, total. Step 3: Click the Loop symbol and add it between the Start and the End symbol. Above the Loop symbol, add three assignment ...
[DOCX File]Lab 7.docx - Noland's Baker College E Portfolio
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The spreadsheet below shows a typical linear programming model (although please note that Solver Table can also be used on integer and nonlinear programming models.) Solver Table can then be used to determine (for example), how the optimal solution will change for various trial values of a data cell (for example the unit profit from producing ...
[DOC File]EXPOITING SURROGATE CONSTRAINTS IN INTEGER …
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In Section 3, the proposed model which is fuzzy multi objective mixed integer linear programming model and the model development are presented. We tested the novel model with a numerical example and discussed the results obtained by LINGO 12.0 (industrial version) package programmer in Section 4.
[DOC File]A Total Integer Model Example - Computer Science
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By default, LP Software assume that all variables are continuous. In using Lindo software, you will want to make use of the general integer statement GIN. GIN followed by a variable name restricts the value of the variable to the nonnegative integers (0,1,2, ). The following small example illustrate the use of the GIN statement. Max 11X1 + 10X2
[DOC File]0 - 1 Integer Linear Programs: Using INT Command in LINDO ...
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Linear Programming: Methods and Applications, by G.V. Shenoy, John Wiley & Sons, 1989. Maximize 100X1 + 160X2. Subject to: 6X1 + 14X2 ≤ 42. 7X1 + 7X2 ≤ 35. X1, X2 are non-negative integers. For this small example, one may find all 14 feasible solutions directly from the feasible region, i.e., Figure 6.1 in the above reference.
[DOC File]Student Lab 1: Input, Processing, and Output
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The random function in Raptor takes no arguments. To generate a random integer from 1 to n, use floor((random*n) + 1). For example, you can simulate the roll of a die (random number from 1 to 6) with floor((random * 6) + 1).
Integer Programming (Example) | GIS220
BRANCHES= 2 DETERM.= 1.000E 0 ** Solution without integer constraint ** LP OPTIMUM FOUND AT STEP 11. OBJECTIVE FUNCTION VALUE. 1) 9.000000. VARIABLE VALUE REDUCED COST. Z 9.000000 0.000000. XA1 0.000000 1.000000. XA3 3.000000 0.000000. XA4 7.000000 0.000000
[DOC File]Integer Program Examples - Mercer University
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The linear programming model for an integer programming problem is formulated in exactly the same way as the linear programming examples we have already done. The only difference is that in this problem, the decision variables are restricted to integer values because the owner cannot purchase a fraction, or portion, of a machine.
[DOC File]An Integer Linear Program: The following problem is from
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Integer Programming, Nested Cuts, Multidimensional Knapsack Problem, Surrogate Constraints. Introduction. A general integer programming (IP) problem consists of optimizing (Minimizing or Maximizing) a linear function subject to linear inequality and / or equality constraints, where all of the variables are required to be integral.
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