Dual Simplex
Document Type
Contribution to Book
Source Publication
The Wiley Encyclopedia of Operations Research and Management Science
Link to Published Version
http://dx.doi.org/10.1002/9780470400531.eorms0269
Publication Date
2011
Department
Managing for Sustainability
Description
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.
Recommended Citation
Banciu, Mihai, "Dual Simplex" (2011). Faculty Contributions to Books. 115.
https://digitalcommons.bucknell.edu/fac_books/115