Fundamental Theorems Theorem 1 Let R be the feasible region (convex polygon) for a linear programming problem and let Z = ax + by be the objective function. When Z has an optimal value (maximum or ...

The computational results on problems with up to 2750 variables strongly confirm our hypothesis that a combination of problem preprocessing, cutting planes, and clever branch-and-bound techniques ...

As the title suggests, I have a problem in which I need to formulate an LP model. I'm supposed to work in Excel and use the Solver Add-in feature.I've done several other problems already, but this ...

This paper investigates the equivalence between a class of mixed-integer linear and linear programming prob-lems. By utilizing the addition of slack variables theorem, we demonstrate that certain ...

A special case of Linear Programming Problem (LPP) is Integer Linear Programming Problem (ILPP) in which a few or all the decision variables are required to be non-negative integers. For solving ILPP, ...