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Algorithms and Reformulations for Lot Sizing Problems

Author

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  • POCHET, Yves

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

  • WOLSEY , Laurence

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

Abstract

In this paper we give a "personal" survey of the research on the polyhedral approach to lot-sizing problems developed over the last ten years. Most results concern the formulation and reformulations of single-item problems which can be used to tighten the formulation of practical multi-item and multi-stage problems. The discussion is restricted to exact algorithms, and more specifically to extended linear programming refomulations, cutting planes and separation algorithms. The large body of work on heuristic algorithms is not discussed. The single item lot-sizing subproblems that we discuss in some detail are the uncapacitated lot-sizing problem (ULS), the uncapacitated lot-sizing problem with start-up costs (ULSS), the constant capacity lot-sizing problem (CCLS) and the varying capacity lot-sizing problem (CLS). We give also references to the work done on the reformulations of other single-item, multi-item single stage and multi-item multistage lot-sizing problems.

Suggested Citation

  • POCHET, Yves & WOLSEY , Laurence, 1994. "Algorithms and Reformulations for Lot Sizing Problems," LIDAM Discussion Papers CORE 1994027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1994027
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1994.html
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    Citations

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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. Wolsey, Laurence A., 1995. "Progress with single-item lot-sizing," European Journal of Operational Research, Elsevier, vol. 86(3), pages 395-401, November.
    3. Aardal, K.I. & van Hoesel, S., 1995. "Polyhedral Techniques in Combinatorial Optimization," Discussion Paper 1995-57, Tilburg University, Center for Economic Research.

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