In this paper, we propose two new perturbation simplex variants. Solving linear programming problems without introducing artificial variables, each of the two uses the dual pivot rule to achieve ...

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...

This is a preview. Log in through your library . Abstract We devise a new simplex pivot rule which has interesting theoretical properties. Beginning with a basic feasible solution, and any nonbasic ...

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 works on a heuristic algorithm with determinacy for the global optimization of continuous piecewise linear (CPWL) programming. CPWL is widely applied since it can be equivalently ...

This project implements the Simplex Algorithm in C++ to solve Linear Programming Problems (LPPs). It supports problems with "less than or equal to" constraints and nonnegative right-hand side values.

Abstract: This study proposes a novel technique for solving linear programming problems in a fully fuzzy environment. A modified version of the well-known dual simplex method is used for solving fuzzy ...