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 ...

We prove the correctness of the procedure, and relate it to other pivoting rules for linear programming. OR professionals in every field of study will find information of interest in this balanced, ...

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.