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Discrete lotsizing and scheduling by batch sequencing

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  • Jordan, Carsten
  • Drexl, Andreas

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 brauch & 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

  • Jordan, Carsten & Drexl, Andreas, 1997. "Discrete lotsizing and scheduling by batch sequencing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 438, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:438
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    References listed on IDEAS

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    1. Fleischmann, Bernhard, 1994. "The discrete lot-sizing and scheduling problem with sequence-dependent setup costs," European Journal of Operational Research, Elsevier, vol. 75(2), pages 395-404, June.
    2. Haase, Knut & Kimms, Alf, 1996. "Lot sizing and scheduling with sequence dependent setup costs and times and efficient rescheduling opportunities," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 393, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    3. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    4. Dirk Cattrysse & Marc Salomon & Roelof Kuik & Luk N. Van Wassenhove, 1993. "A Dual Ascent and Column Generation Heuristic for the Discrete Lotsizing and Scheduling Problem with Setup Times," Management Science, INFORMS, vol. 39(4), pages 477-486, April.
    5. Drexl, Andreas & Kimms, Alf, 1996. "Lot sizing and scheduling: Survey and extensions," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 421, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    6. J. M. J. Schutten & S. L. van de Velde & W. H. M. Zijm, 1996. "Single-Machine Scheduling with Release Dates, Due Dates and Family Setup Times," Management Science, INFORMS, vol. 42(8), pages 1165-1174, August.
    7. Yvan Dumas & Jacques Desrosiers & Eric Gelinas & Marius M. Solomon, 1995. "An Optimal Algorithm for the Traveling Salesman Problem with Time Windows," Operations Research, INFORMS, vol. 43(2), pages 367-371, April.
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    1. Drexl, Andreas & Jordan, Carsten & Kimms, Alf, 1997. "Gruppierungs- und Reihenfolgeprobleme in der Fertigung," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 447, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. Carsten Jordan & Andreas Drexl, 1998. "Discrete Lotsizing and Scheduling by Batch Sequencing," Management Science, INFORMS, vol. 44(5), pages 698-713, May.
    3. Drexl, Andreas & Haase, Knut, 1997. "Vorbeugende Instandhaltung und Eilaufträge in der Produktionsplanung," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 450, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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