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Discrete Lotsizing and Scheduling by Batch Sequencing

Author

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  • Carsten Jordan

    (Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität zu Kiel, 24098 Kiel, Germany)

  • Andreas Drexl

    (Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität zu Kiel, 24098 Kiel, Germany)

Abstract

The discrete lotsizing and scheduling problem for one machine with sequence-dependent setup times and setup costs is solved as a single machine scheduling problem, which we term the batch sequencing problem. The relationship between the lotsizing problem and the batch sequencing problem is analyzed. The batch sequencing problem is solved with a branch & bound algorithm which is accelerated by bounding and dominance rules. The algorithm is compared with recently published procedures for solving variants of the DLSP and is found to be more efficient if the number of items is not large.

Suggested Citation

  • Carsten Jordan & Andreas Drexl, 1998. "Discrete Lotsizing and Scheduling by Batch Sequencing," Management Science, INFORMS, vol. 44(5), pages 698-713, May.
    • Handle: RePEc:inm:ormnsc:v:44:y:1998:i:5:p:698-713
    DOI: 10.1287/mnsc.44.5.698
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    References listed on IDEAS

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    Cited by:

    1. Jans, R.F. & Degraeve, Z., 2005. "Modeling Industrial Lot Sizing Problems: A Review," ERIM Report Series Research in Management ERS-2005-049-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    2. Karina Copil & Martin Wörbelauer & Herbert Meyr & Horst Tempelmeier, 2017. "Simultaneous lotsizing and scheduling problems: a classification and review of models," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 1-64, January.
    3. Mocquillon, Cédric & Lenté, Christophe & T'Kindt, Vincent, 2011. "An efficient heuristic for medium-term planning in shampoo production," International Journal of Production Economics, Elsevier, vol. 129(1), pages 178-185, January.
    4. Fabrizio Marinelli & Maria Nenni & Antonio Sforza, 2007. "Capacitated lot sizing and scheduling with parallel machines and shared buffers: A case study in a packaging company," Annals of Operations Research, Springer, vol. 150(1), pages 177-192, March.
    5. Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre (Ed.), 1999. "Jahresbericht 1998," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 495, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    6. Meyr, Herbert, 2002. "Simultaneous lotsizing and scheduling on parallel machines," European Journal of Operational Research, Elsevier, vol. 139(2), pages 277-292, June.

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