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Corner polyhedron and intersection cuts

Conforti, Michele, Cornuéjols, Gérard and Zambelli, Giacomo (2011) Corner polyhedron and intersection cuts. Surveys in Operations Research and Management Science, 16 (2). pp. 105-120. ISSN 1876-7354

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Identification Number: 10.1016/j.sorms.2011.03.001

Abstract

Four decades ago, Gomory introduced the corner polyhedron as a relaxation of a mixed integer set in tableau form and Balas introduced intersection cuts for the corner polyhedron. A recent paper of Andersen, Louveaux, Weismantel and Wolsey has generated a renewed interest in the corner polyhedron and intersection cuts. We survey these two approaches and the recent developments in multi-row cuts. We stress the importance of maximal lattice-free convex sets and of the so-called infinite relaxation.

Item Type: Article
Official URL: http://www.elsevier.com/wps/find/journaldescriptio...
Additional Information: © 2011 Elsevier
Divisions: Management
Subjects: Q Science > QA Mathematics
Date Deposited: 27 Jun 2011 09:28
Last Modified: 13 Sep 2024 23:04
URI: http://eprints.lse.ac.uk/id/eprint/36887

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