Document Type

Contribution to Book

Title

Dual Simplex

Source Publication

The Wiley Encyclopedia of Operations Research and Management Science

Publication Date

2011

Department

Managing for Sustainability

Abstract

The dual simplex algorithm is an attractive alternative method for solving linear programming problems. Since the addition of new constraints to a problem typically breaks primal feasibility but not dual feasibility, the dual simplex can be deployed for rapid reoptimization, without the need of finding new primal basic feasible solutions. This is especially useful in integer programming, where the use of cutting plane techniques require the introduction of new constraints at various stages of the branch-and-bound/cut/price algorithms. In this article, we give a detailed synopsis of the dual simplex method, including its history and relationship to the primal simplex algorithm, as well as its properties, implementation challenges, and applications.

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