In this paper, a modification of the bisection simplex method is made for more general purpose use. Organized in an alternative simpler form, the modified version exploits information of the optimal ...

The book also addresses linear programming duality theory and its use in algorithm design as well as the Dual Simplex Method, Dantzig-Wolfe decomposition, and a primal-dual interior point algorithm.

The Simplex Method To develop a general solution method, let's look carefully at the solution of the two-variable problem: First, we need to introduce some definitions. We will refer to any assignment ...

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

This article gives a reformulation of the simplex method for quadratic programming having the advantage of generating tableaux with certain symmetry properties. It is proved that this method gives the ...