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Solving the car sequencing problem via Branch & Bound

Listed author(s):
  • Fliedner, Malte
  • Boysen, Nils
Registered author(s):

    In a mixed-model assembly line, varying models of the same basic product are to be produced in a facultative sequence. This results to a short-term planning problem where a sequence of models is sought which minimizes station overloads. In practice - e.g. the final assembly of cars - special sequencing rules are enforced which restrict the number of models possessing a certain optional feature k to rk within a subsequence of sk successive models. This problem is known as car sequencing. So far, employed solution techniques stem mainly from the field of Logic and Constraint Logic Programming. In this work, a special Branch & Bound algorithm is developed, which exploits the problem structure in order to reduce combinatorial complexity.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(07)00454-7
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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 191 (2008)
    Issue (Month): 3 (December)
    Pages: 1023-1042

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    Handle: RePEc:eee:ejores:v:191:y:2008:i:3:p:1023-1042
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. Scholl, Armin, 1995. "Balancing and sequencing of assembly lines," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 9690, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
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    4. Gagne, Caroline & Gravel, Marc & Price, Wilson L., 2006. "Solving real car sequencing problems with ant colony optimization," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1427-1448, November.
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    6. Steiner, George & Yeomans, Julian Scott, 1996. "Optimal level schedules in mixed-model, multi-level JIT assembly systems with pegging," European Journal of Operational Research, Elsevier, vol. 95(1), pages 38-52, November.
    7. 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.
    8. Nick T. Thomopoulos, 1967. "Line Balancing-Sequencing for Mixed-Model Assembly," Management Science, INFORMS, vol. 14(2), pages 59-75, October.
    9. 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.
    10. George Steiner & Scott Yeomans, 1993. "Level Schedules for Mixed-Model, Just-in-Time Processes," Management Science, INFORMS, vol. 39(6), pages 728-735, June.
    11. 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.
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