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Lotsizing and Scheduling on Parallel Machines with Sequence-Dependent Setup Costs

  • Sungmin Kang

    (Department of Business Administration, The Catholic University of Korea, Seoul 420-743, Korea)

  • Kavindra Malik

    (i2 Technologies, 909 E. Las Colinas Boulevard, Irving, TX 75039)

  • L. Joseph Thomas

    (Johnson Graduate School of Management, Cornell University, Ithaca, New York 14850)

Registered author(s):

    Industrial lotsizing and scheduling pose very difficult analytical problems. We propose an unconventional model that deals with sequence-dependent setup costs in a multiple-machine environment. The sequence-splitting model splits an entire schedule into subsequences, leading to tractable subproblems. An optimization approach based on a column generation/branch and bound methodology is developed, and heuristically adapted to test problems including five real-world problem instances gathered from industry.

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    File URL: http://dx.doi.org/10.1287/mnsc.45.2.273
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    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 45 (1999)
    Issue (Month): 2 (February)
    Pages: 273-289

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    Handle: RePEc:inm:ormnsc:v:45:y:1999:i:2:p:273-289
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    1. 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.
    2. Fleischmann, B. & Meyr, H., 1997. "The General Lotsizing and Scheduling Problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 36068, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    3. Fleischmann, Bernhard, 1990. "The discrete lot-sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 44(3), pages 337-348, February.
    4. 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.
    5. 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.
    6. William W. Trigeiro & L. Joseph Thomas & John O. McClain, 1989. "Capacitated Lot Sizing with Setup Times," Management Science, INFORMS, vol. 35(3), pages 353-366, March.
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