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A two-phase genetic algorithm to solve variants of the batch sequencing problem

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  • Jordan, Carsten

Abstract

We introduce the batch sequencing problem with item and batch availability for the single machine and two machine flow-shop case. We propose a genetic algorithm which solves all variants through a decomposition of the problem into a Phase I-Batching and a Phase II-Scheduling decision. The batch sequencing problem is closely related to the discrete lotsizing and scheduling problem (DLSP). Computational experience shows that our algorithm favourably compares with procedures for the DLSP.

Suggested Citation

  • Jordan, Carsten, 1995. "A two-phase genetic algorithm to solve variants of the batch sequencing problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 363, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:363
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    1. Clyde L. Monma & Chris N. Potts, 1989. "On the Complexity of Scheduling with Batch Setup Times," Operations Research, INFORMS, vol. 37(5), pages 798-804, October.
    2. 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.
    3. 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.
    4. Marc Salomon & Leo G. Kroon & Roelof Kuik & Luk N. Van Wassenhove, 1991. "Some Extensions of the Discrete Lotsizing and Scheduling Problem," Management Science, INFORMS, vol. 37(7), pages 801-812, July.
    5. Jordan, Carsten & Drexl, Andreas, 1994. "Lotsizing and scheduling by batch sequencing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 343, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    6. Fleischmann, Bernhard, 1990. "The discrete lot-sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 44(3), pages 337-348, February.
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