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Group-Theoretic Results in Mixed Integer Programming

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  • Laurence A. Wolsey

    (University of Manchester, Manchester, England)

Abstract

This paper shows how the asymptotic structure of the integer programming problem extends to the mixed integer problem. The group-theoretic ideas are then used to provide information about the solutions of the asymptotic mixed integer problem, and it is also shown how useful bounds can be obtained from the corresponding all-integer asymptotic problem. An example shows the application of some of the results.

Suggested Citation

  • Laurence A. Wolsey, 1971. "Group-Theoretic Results in Mixed Integer Programming," Operations Research, INFORMS, vol. 19(7), pages 1691-1697, December.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:7:p:1691-1697
    DOI: 10.1287/opre.19.7.1691
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    Cited by:

    1. Gérard Cornuéjols & Milind Dawande, 1999. "A Class of Hard Small 0-1 Programs," INFORMS Journal on Computing, INFORMS, vol. 11(2), pages 205-210, May.

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