Cutting planes in integer and mixed integer programming

Hugues Marchand, Alexander Martin, Robert Weismantel and Laurence Wolsey ()
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Hugues Marchand: Department of Operational Research London School of Economics Houghton Street, London WC2A 2AE, United Kingdom
Alexander Martin: Konrad-Zuse-Zentrum Berlin Takustr. 7 D-14195 Berlin Germany
Robert Weismantel: Fakultat fur Mathematik, IMO Otto-von-Guericke Universitat Magdeburg Universit?atsplatz 2 D-39106 Magdeburg Germany
Laurence Wolsey: Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium

No 1999053, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: This survey presents cutting planes that are useful or potentially useful in solving mixed integer programs. Valid inequalities for i) general integer programs, ii) problems with local structure such as knapsack constraints, and iii) problems with 0-1 coefficient matrices, such as set packing, are examined in turn. Finally the use of valid inequalities for classes of problems with structure, such as network design, is explored.

Keywords: Mixed Integer Programming; Cutting Planes (search for similar items in EconPapers)
JEL-codes: C10 C11 (search for similar items in EconPapers)
Date: 1999-10-01
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:cor:louvco:1999053

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