[PDF] A.1 LINEAR PROGRAMMING AND OPTIMAL SOLUTIONS A.2





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Linear programming 1 Basics

17 mars 2015 Linear Programming deals with the problem of optimizing a linear ... A feasible solution is optimal if its objective function value is equal.



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This problem is called the (linear) integer-programming problem. feasible solution to constraint (7) we know that constraint (6) must be satisfied.



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Furthermore if one problem has an unbounded solution



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other feasible solution x3 and x4 must remain nonnegative. Since their coefficients in a linear program related to the original problem formulation.



A.1 LINEAR PROGRAMMING AND OPTIMAL SOLUTIONS A.2

called a feasible solution to the linear programming problem. A feasible solution sponding dual (primal) variables must be nonnegative.



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Describe computer solutions of linear programs. tures of an object system



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this specific solution of the system of linear equations. Therefore we need to start with converting given LP problem into a system of linear equations.



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Two types of solution must be distinguished. A global optimum is a solution to the overall optimization problem. Its objective value is as good as any other 



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Recall the linear program from Section 3.1.1 which determines the optimal The optimal solution of our problem is a basic feasible solution. Since.



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A linear programming problem in which some or all of the variables must be nonnegative integers is called an integer programming problem. The solution of 

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