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Solving the car sequencing problem via Branch & Bound


  • Fliedner, Malte
  • Boysen, Nils


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.

Suggested Citation

  • Fliedner, Malte & Boysen, Nils, 2008. "Solving the car sequencing problem via Branch & Bound," European Journal of Operational Research, Elsevier, vol. 191(3), pages 1023-1042, December.
  • Handle: RePEc:eee:ejores:v:191:y:2008:i:3:p:1023-1042

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    References listed on IDEAS

    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. 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.
    3. George Steiner & Scott Yeomans, 1993. "Level Schedules for Mixed-Model, Just-in-Time Processes," Management Science, INFORMS, vol. 39(6), pages 728-735, June.
    4. 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.
    5. Andreas Drexl & Alf Kimms, 2001. "Sequencing JIT Mixed-Model Assembly Lines Under Station-Load and Part-Usage Constraints," Management Science, INFORMS, vol. 47(3), pages 480-491, March.
    6. Nick T. Thomopoulos, 1967. "Line Balancing-Sequencing for Mixed-Model Assembly," Management Science, INFORMS, vol. 14(2), pages 59-75, October.
    7. Becker, Christian & Scholl, Armin, 2006. "A survey on problems and methods in generalized assembly line balancing," European Journal of Operational Research, Elsevier, vol. 168(3), pages 694-715, February.
    8. 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).
    9. 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.
    10. 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.
    11. 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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    Cited by:

    1. Golle, Uli & Rothlauf, Franz & Boysen, Nils, 2014. "Car sequencing versus mixed-model sequencing: A computational study," European Journal of Operational Research, Elsevier, vol. 237(1), pages 50-61.
    2. Golle, Uli & Boysen, Nils & Rothlauf, Franz, 2010. "Analysis and design of sequencing rules for car sequencing," European Journal of Operational Research, Elsevier, vol. 206(3), pages 579-585, November.
    3. Elahi, Mirza M. Lutfe & Rajpurohit, Karthik & Rosenberger, Jay M. & Zaruba, Gergely & Priest, John, 2015. "Optimizing real-time vehicle sequencing of a paint shop conveyor system," Omega, Elsevier, vol. 55(C), pages 61-72.
    4. Parames Chutima & Sathaporn Olarnviwatchai, 0. "A multi-objective car sequencing problem on two-sided assembly lines," Journal of Intelligent Manufacturing, Springer, vol. 0, pages 1-20.
    5. Zhang, Zizhen & Qin, Hu & Zhu, Wenbin & Lim, Andrew, 2012. "The single vehicle routing problem with toll-by-weight scheme: A branch-and-bound approach," European Journal of Operational Research, Elsevier, vol. 220(2), pages 295-304.

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