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The Capacitated Lot-Sizing Problem with Linked Lot Sizes

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  • Christopher Suerie

    ()
    (Technische Universität Darmstadt, Institut fü r Betriebswirtschaftslehre, Fachgebiet Produktion & Supply Chain Management, HochschulstraÑ 1, D-64289 Darmstadt, Germany)

  • Hartmut Stadtler

    ()
    (Technische Universität Darmstadt, Institut fü r Betriebswirtschaftslehre, Fachgebiet Produktion & Supply Chain Management, HochschulstraÑ 1, D-64289 Darmstadt, Germany)

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    Abstract

    In this paper a new mixed integer programming (MIP) model formulation and its incorporation into a time-oriented decomposition heuristic for the capacitated lot-sizing problem with linked lot sizes (CLSPL) is proposed. The solution approach is based on an extended model formulation and valid inequalities to yield a tight formulation. Extensive computational tests prove the capability of this approach and show a superior solution quality with respect to other solution algorithms published so far.

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    File URL: http://dx.doi.org/10.1287/mnsc.49.8.1039.16406
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 49 (2003)
    Issue (Month): 8 (August)
    Pages: 1039-1054

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    Handle: RePEc:inm:ormnsc:v:49:y:2003:i:8:p:1039-1054

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    Related research

    Keywords: Lot-Sizing; MIP; Valid Inequalities; CLSPL;

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    Cited by:
    1. Jenny Carolina Saldaña Cortés, 2011. "Programación semidefinida aplicada a problemas de cantidad económica de pedido," DOCUMENTOS CEDE 008735, UNIVERSIDAD DE LOS ANDES-CEDE.
    2. Awi Federgruen & Joern Meissner & Michal Tzur, 2002. "Progressive Interval Heuristics for Multi-Item Capacitated Lot-Sizing Problems," Working Papers MRG/0001, Department of Management Science, Lancaster University, revised Nov 2004.
    3. Helber, Stefan & Sahling, Florian, 2008. "A Fix-and-Optimize Approach for the Multi-Level Capacitated Lot Sizing Problems," Hannover Economic Papers (HEP) dp-393, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    4. Sahling, Florian & Buschkühl, Lisbeth & Tempelmeier, Horst & Helber, Stefan, 2008. "Solving a Multi-Level Capacitated Lot Sizing Problem with Multi-Period Setup Carry-Over via a Fix-and-Optimize Heuristic," Hannover Economic Papers (HEP) dp-400, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    5. Tempelmeier, Horst & Buschkühl, Lisbeth, 2008. "Dynamic multi-machine lotsizing and sequencing with simultaneous scheduling of a common setup resource," International Journal of Production Economics, Elsevier, vol. 113(1), pages 401-412, May.
    6. Kampf, M. & Kochel, P., 2006. "Simulation-based sequencing and lot size optimisation for a production-and-inventory system with multiple items," International Journal of Production Economics, Elsevier, vol. 104(1), pages 191-200, November.
    7. Yavuz, Mesut & Tufekci, Suleyman, 2006. "A bounded dynamic programming solution to the batching problem in mixed-model just-in-time manufacturing systems," International Journal of Production Economics, Elsevier, vol. 103(2), pages 841-862, October.

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