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 ...

Provided the constraints are linear, problems of this kind are normally forced into a linear programming mould and solved using the simplex method. This paper takes another look at the associated ...

Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

About the same time, he invented the “simplex method,” an algorithm for solving linear programming problems.

The Interior-Point algorithm often solves network problems and linear programming (LP) problems much faster than the Simplex algorithm, and it can solve problems that are very large. LP problems that ...