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bc --- prod: A Specialized Branch-and-Cut System for Lot-Sizing Problems

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Author Info

  • Gaetan Belvaux

    ()
    (CORE, Voie du Roman Pays 34, 1348 Louvain-la-Neuve, Belgium)

  • Laurence A. Wolsey

    ()
    (CORE, Voie du Roman Pays 34, 1348 Louvain-la-Neuve, Belgium)

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    Abstract

    bc --- prod is a prototype modelling and optimization system designed and able to tackle a wide variety of the discrete-time lot-sizing problems arising both in practice and in the literature. To use bc --- prod, the user needs to formulate his/her problem as a mixed integer program using XPRESS-MP's mp --- model, a standard mathematical programming modelling language, taking into account a reserved set of key words for specific lot-sizing objects, such as production variables, storage, and demand data, etc. The problem is then solved by the XPRESS-MP branch-and-bound system including lot-sizing specific preprocessing, cutting planes for different aspects of lot-sizing problems, plus general cutting planes, and a lot-sizing-specific primal heuristic. Results are presented for a wide variety of big bucket and small bucket models with set-up and start-up costs and times.

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    File URL: http://dx.doi.org/10.1287/mnsc.46.5.724.12048
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 46 (2000)
    Issue (Month): 5 (May)
    Pages: 724-738

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    Handle: RePEc:inm:ormnsc:v:46:y:2000:i:5:p:724-738

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    Related research

    Keywords: manufacturing; lot-sizing; branch-and-cut; modelling language;

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    Cited by:
    1. Haugen, Kjetil K. & Olstad, Asmund & Pettersen, Bard I., 2007. "The profit maximizing capacitated lot-size (PCLSP) problem," European Journal of Operational Research, Elsevier, vol. 176(1), pages 165-176, January.

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