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A Tutorial on Integer Programming

www.math.clemson.edu

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.

  Programming, Mixed, Integre, Integer programming, Gramming, Mixed integer programming, Integer pro gramming

9.1 Introduction to Integer Programming

www.mcise.uri.edu

x\, x2 ^ 0, .X| integer is a mixed integer programming problem (x2 is not required to be an integer). An integer programming problem in which all the variables must equal 0 or I is called a 0-1 IP. In Section 9.2, we see that 0-1 IPs occur in surprisingly many situations.* The following is an example of a 0-1 IP: max 2 = x\ — x2 s.t. xx + 2x2 < 2

  Programming, Mixed, Integre, Integer programming, Mixed integer programming

Solving Optimization Problems with MATLAB

www.matlabexpo.com

Mixed-Integer Programming Many things exist in discrete amounts: – Shares of stock – Number of cars a factory produces – Number of cows on a farm Often have binary decisions: – On/off – Buy/don’t buy Mixed-integer linear programming: – Solve optimization problem while enforcing that certain variables need to be integer

  Programming, Mixed, Integre, Mixed integer programming

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