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


Author Info

  • 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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    Bibliographic Info

    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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    Related research

    Keywords: lotsizing; scheduling; sequence-dependent setup costs; column generation; branch and bound;


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    Cited by:
    1. Haugen, Kjetil K. & Olstad, Asmund & Pettersen, Bard I., 2007. "The profit maximizing capacitated lot-size (PCLSP) problem," European Journal of Operational Research, Elsevier, vol. 176(1), pages 165-176, January.
    2. Weng, Michael X. & Lu, John & Ren, Haiying, 2001. "Unrelated parallel machine scheduling with setup consideration and a total weighted completion time objective," International Journal of Production Economics, Elsevier, vol. 70(3), pages 215-226, April.
    3. Guimarães, Luis & Klabjan, Diego & Almada-Lobo, Bernardo, 2013. "Pricing, relaxing and fixing under lot sizing and scheduling," European Journal of Operational Research, Elsevier, vol. 230(2), pages 399-411.
    4. BELVAUX, Gaetan & WOLSEY, Laurence A., 2000. "Modelling practical lot-sizing problems as mixed integer programs," CORE Discussion Papers 2000009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Meyr, Herbert & Mann, Matthias, 2013. "A decomposition approach for the General Lotsizing and Scheduling Problem for Parallel production Lines," European Journal of Operational Research, Elsevier, vol. 229(3), pages 718-731.
    6. Jans, R.F., 2006. "Solving Lotsizing Problems on Parallel Identical Machines Using Symmetry Breaking Constraints," ERIM Report Series Research in Management ERS-2006-051-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 Uni.
    7. Meyr, Herbert, 2002. "Simultaneous lotsizing and scheduling on parallel machines," European Journal of Operational Research, Elsevier, vol. 139(2), pages 277-292, June.
    8. Hop, Nguyen Van & Tabucanon, Mario T., 2005. "Adaptive genetic algorithm for lot-sizing problem with self-adjustment operation rate," International Journal of Production Economics, Elsevier, vol. 98(2), pages 129-135, November.
    9. Ferreira, Deisemara & Clark, Alistair R. & Almada-Lobo, Bernardo & Morabito, Reinaldo, 2012. "Single-stage formulations for synchronised two-stage lot sizing and scheduling in soft drink production," International Journal of Production Economics, Elsevier, vol. 136(2), pages 255-265.


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