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Sequencing JIT Mixed-Model Assembly Lines Under Station-Load and Part-Usage Constraints

  • Andreas Drexl

    (Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität zu Kiel, Olshausenstr. 40, 24118 Kiel, Germany)

  • Alf Kimms

    (Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität zu Kiel, Olshausenstr. 40, 24118 Kiel, Germany)

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    This paper deals with two most important problems, from both practical and theoretical standpoints, arising in sequencing mixed-model assembly lines. Such lines have become core components of modern repetitive manufacturing, and just-in-time (JIT) manufacturing in particular. One problem is to keep the usage rate of all parts fed into the final assembly as constant as possible (the "level-scheduling problem"), while the other is to keep the line's workstation loads as constant as possible (the "car-sequencing problem"). In this paper the combined problem is formulated as a single-integer programming model. The LP-relaxation of this model is solved by column-generation techniques. The results of an experimental evaluation show that the lower bounds are tight.

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    File URL: http://dx.doi.org/10.1287/mnsc.47.3.480.9777
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    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 47 (2001)
    Issue (Month): 3 (March)
    Pages: 480-491

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    Handle: RePEc:inm:ormnsc:v:47:y:2001:i:3:p:480-491
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    1. Robert R. Inman & Robert L. Bulfin, 1991. "Note---Sequencing JIT Mixed-Model Assembly Lines," Management Science, INFORMS, vol. 37(7), pages 901-904, July.
    2. George Steiner & Scott Yeomans, 1993. "Level Schedules for Mixed-Model, Just-in-Time Processes," Management Science, INFORMS, vol. 39(6), pages 728-735, June.
    3. Li-Hui Tsai, 1995. "Mixed-Model Sequencing to Minimize Utility Work and the Risk of Conveyor Stoppage," Management Science, INFORMS, vol. 41(3), pages 485-495, March.
    4. Wieslaw Kubiak & Suresh Sethi, 1991. "A Note on "Level Schedules for Mixed-Model Assembly Lines in Just-in-Time Production Systems"," Management Science, INFORMS, vol. 37(1), pages 121-122, January.
    5. John Miltenburg, 1989. "Level Schedules for Mixed-Model Assembly Lines in Just-In-Time Production Systems," Management Science, INFORMS, vol. 35(2), pages 192-207, February.
    6. Kubiak, Wieslaw, 1993. "Minimizing variation of production rates in just-in-time systems: A survey," European Journal of Operational Research, Elsevier, vol. 66(3), pages 259-271, May.
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