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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Gaetan Belvaux & Laurence A. Wolsey, 2000. "bc --- prod: A Specialized Branch-and-Cut System for Lot-Sizing Problems," Management Science, INFORMS, vol. 46(5), pages 724-738, May.
    • Handle: RePEc:inm:ormnsc:v:46:y:2000:i:5:p:724-738
    DOI: 10.1287/mnsc.46.5.724.12048
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    References listed on IDEAS

    as
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