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Batching to Minimize Flow Times on One Machine

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Author Info

  • Gregory Dobson

    (Graduate School of Management, University of Rochester, Rochester, New York 14627)

  • Uday S. Karmarkar

    (Graduate School of Management, University of Rochester, Rochester, New York 14627)

  • Jeffrey L. Rummel

    (Fuqua School of Business, Duke University, Durham, North Carolina 27706)

Registered author(s):

    Abstract

    Machine sequencing formulations typically assume that the characteristics of the job set to be processed are given. However, in many applications, jobs can be batched in different ways. Two types of minimum flow-time sequencing problems with lot sizing are formulated. The "item-flow" formulation is solved giving an index rule for ordering items. The "batch-flow" formulation is solved for the single product case showing that processing is done in unequal batches ordered in decreasing size. Heuristics and bounds are provided for the multiproduct case.

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    File URL: http://dx.doi.org/10.1287/mnsc.33.6.784
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 33 (1987)
    Issue (Month): 6 (June)
    Pages: 784-799

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    Handle: RePEc:inm:ormnsc:v:33:y:1987:i:6:p:784-799

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    Related research

    Keywords: production/scheduling; lot-sizing: closed shop; deterministic models;

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    Cited by:
    1. Ching, Chung Yaw & Liao, Ching-Jong & Wu, Chutao John, 1997. "Batching to minimize total production time for two part types," International Journal of Production Economics, Elsevier, vol. 48(1), pages 63-72, January.
    2. Liaee, Mohammad Mehdi & Emmons, Hamilton, 1997. "Scheduling families of jobs with setup times," International Journal of Production Economics, Elsevier, vol. 51(3), pages 165-176, September.
    3. Grundel, Soesja & Çiftçi, Barış & Borm, Peter & Hamers, Herbert, 2013. "Family sequencing and cooperation," European Journal of Operational Research, Elsevier, vol. 226(3), pages 414-424.
    4. Bruggemann, Wolfgang & Jahnke, Hermann, 2000. "The discrete lot-sizing and scheduling problem: Complexity and modification for batch availability," European Journal of Operational Research, Elsevier, vol. 124(3), pages 511-528, August.
    5. Lin, B. M. T. & Jeng, A. A. K., 2004. "Parallel-machine batch scheduling to minimize the maximum lateness and the number of tardy jobs," International Journal of Production Economics, Elsevier, vol. 91(2), pages 121-134, September.
    6. Zhou, Feng & Blocher, James D. & Hu, Xinxin & Sebastian Heese, H., 2014. "Optimal single machine scheduling of products with components and changeover cost," European Journal of Operational Research, Elsevier, vol. 233(1), pages 75-83.
    7. Chung-Lun Li & Chung-Yee Lee, 1997. "Scheduling with agreeable release times and due dates on a batch processing machine," European Journal of Operational Research, Elsevier, vol. 96(3), pages 564-569, February.
    8. Lambrecht, Marc R. & Vandaele, Nico J., 1996. "A general approximation for the single product lot sizing model with queueing delays," European Journal of Operational Research, Elsevier, vol. 95(1), pages 73-88, November.

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