Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse after every step of the method.

This linear programming formulated based on the available secondary data obtained from the information Technology units of an institution as the secondary data as well as the primary data source ...

Abstract: The goal is to give some theoretical explanation for the efficiency of the simplex method of George Dantzig. Fixing the number of constraints and using Dantzig's self-dual parametric ...

This repository contains a simple implementation of a linear programming solver, in particular for the primal and dual simplex method in tableau form and the application of Gomory's cut in case of ...

Since its creation more than two decades ago by Daniel Spielman (above) and Shang-hua Teng, smoothed analysis has been used to analyze performance of algorithms other than the simplex method, ...

Big-M Technique Calculator using the Simplex Method in MATLAB. Produces a tableau for each step. The op_research package is a Python library for solving linear programming problems using the simplex ...

This paper works on a heuristic algorithm with determinacy for the global optimization of Continuous PieceWise Linear (CPWL) programming. The widely applied CPWL programming can be equivalently ...

The researchers showed that the simplex method using Tardos' basic algorithm is strongly polynomial for totally unimodular linear programming problems, if the problems are nondegenerate. These ...