PuLP is a Python library that provides a high-level interface for creating and solving linear programming problems. PuLP allows you to define the variables, objective function, and constraints of ...

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 ...

Disadvantages Linearity assumption: Linear programming assumes that relationships between variables are linear, which may not always be realistic in real-world problems.

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 ...

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 ...

The paper surveys the progress that has been made with the problem of solving linear programming problems when some or all variables are required to take integer values. It is pointed out that there ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. The traveling salesperson problem is one of the oldest ...

Then, they can formulate a linear programming problem by defining decision variables X (number of acres allocated to wheat) and Y (number of acres allocated to barley), expressing the objective ...