Computational Integer Programming and Cutting Planes

Fügenschuh AR, Martin A (2005)


Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2005

Publisher: Kluwer

Edited Volumes: Handbooks in Operations Research and Management Science

Book Volume: 12

Pages Range: 69 -- 122

Conference Proceedings Title: Handbooks in Operations Research and Management Science

Abstract

The study and solution of mixed-integer programming problems is of great interest, because they arise in a variety of mathematical and practical applications. Today's state-of-art software packages for solving mixed-integer programs based on linear programming include preprocessing, branch-and-bound, and cutting planes techniques. The main purpose of this article is to describe these components and recent developments that can be found in many solvers. Besides linear programming based relaxation methods we also discuss Langrangean, Dantzig-Wolfe and Benders' decomposition and their interrelations.

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How to cite

APA:

Fügenschuh, A.-R., & Martin, A. (2005). Computational Integer Programming and Cutting Planes. In K.~Aardal, G.~Nemhauser, R.~Weismantel (Eds.), Handbooks in Operations Research and Management Science. (pp. 69 -- 122). Kluwer.

MLA:

Fügenschuh, Armin-René, and Alexander Martin. "Computational Integer Programming and Cutting Planes." Handbooks in Operations Research and Management Science. Ed. K.~Aardal, G.~Nemhauser, R.~Weismantel, Kluwer, 2005. 69 -- 122.

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