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 ...

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 ...

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

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.

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 ...