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Capacitated Facility Location : Valid Inequalities and Facets

Author

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  • AARDAL, Karen

    (Erasmus University)

  • POCHET, Yves

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium)

  • WOLSEY, Laurence A.

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium)

Abstract

We examine the polyhedral structure of the convex hull of feasible solutions of the capacitated facility location problem. In particular we derive necessary and sufficient conditions for a family of "effective capacity" inequalities to be facet-defining, and further results on a more general family called "submodular" inequalities.

Suggested Citation

  • AARDAL, Karen & POCHET, Yves & WOLSEY, Laurence A., 1993. "Capacitated Facility Location : Valid Inequalities and Facets," LIDAM Discussion Papers CORE 1993023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1993023
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1993.html
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    Cited by:

    1. Aardal, K.I. & van Hoesel, S., 1995. "Polyhedral Techniques in Combinatorial Optimization," Other publications TiSEM ed028a07-eb6a-4c8d-8f21-d, Tilburg University, School of Economics and Management.
    2. Aardal, K.I. & van Hoesel, S., 1995. "Polyhedral Techniques in Combinatorial Optimization," Discussion Paper 1995-57, Tilburg University, Center for Economic Research.
    3. Aardal, K. & van Hoesel, C.P.M., 1995. "Polyhedral techniques in combinatorial optimization," Research Memorandum 014, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

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