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Lot-sizing problems: modelling issues and a specialized branch-and-cut system BC-PROD

Author

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  • BELVAUX, Gaetan

    (Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium)

  • WOLSEY, Laurence A.

    (Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), 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 lotsizing 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

  • BELVAUX, Gaetan & WOLSEY, Laurence A., 1998. "Lot-sizing problems: modelling issues and a specialized branch-and-cut system BC-PROD," LIDAM Discussion Papers CORE 1998049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1998049
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    References listed on IDEAS

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    Cited by:

    1. MILLER, Andrew & NEMHAUSER, George & SAVELSBERGH, Martin, 2000. "Solving multi-item capacitated lot-sizing problems with setup times by branch-and-cut," LIDAM Discussion Papers CORE 2000039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. BELVAUX, Gaetan & WOLSEY, Laurence A., 2000. "Modelling practical lot-sizing problems as mixed integer programs," LIDAM Discussion Papers CORE 2000009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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