This repository contains a C++ implementation of the Simplex algorithm, a popular method for solving linear programming (LP) problems. The Simplex algorithm is used to find the optimal solution to a ...

This repository contains a C++ implementation of the Simplex algorithm, a popular method for solving linear programming (LP) problems. The Simplex algorithm is used to find the optimal solution to a ...

Abstract: This paper presents a new phase 1 simplex algorithm for solving linear programming problems. In the algorithm, first, the equation with the auxiliary objective function at the optimality as ...

Since the 1970s, several authors have studied the structure of the set partitioning polytope and proposed adaptations of the simplex algorithm that find an optimal solution via a sequence of basic ...

The problem of distributing gas through a network of pipelines is formulated as a cost minimization subject to nonlinear flow-pressure relations, material balances, and pressure bounds. The solution ...

PROC NETFLOW solves network problems that can have side constraints. Certain algebraic features of networks are exploited by a specialized version of the Simplex method so that solution times are ...