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

Author

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  • 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)

Abstract

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.

Suggested Citation

  • 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.
  • Handle: RePEc:inm:ormnsc:v:47:y:2001:i:3:p:480-491
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    File URL: http://dx.doi.org/10.1287/mnsc.47.3.480.9777
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    References listed on IDEAS

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    1. George Steiner & Scott Yeomans, 1993. "Level Schedules for Mixed-Model, Just-in-Time Processes," Management Science, INFORMS, vol. 39(6), pages 728-735, June.
    2. 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.
    3. 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.
    4. Robert R. Inman & Robert L. Bulfin, 1991. "Note---Sequencing JIT Mixed-Model Assembly Lines," Management Science, INFORMS, vol. 37(7), pages 901-904, July.
    5. 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.
    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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    Citations

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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. Solnon, Christine & Cung, Van Dat & Nguyen, Alain & Artigues, Christian, 2008. "The car sequencing problem: Overview of state-of-the-art methods and industrial case-study of the ROADEF'2005 challenge problem," European Journal of Operational Research, Elsevier, vol. 191(3), pages 912-927, December.
    3. 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.
    4. Boysen, Nils & Fliedner, Malte, 2007. "Comments on "Solving real car sequencing problems with ant colony optimization"," European Journal of Operational Research, Elsevier, vol. 182(1), pages 466-468, October.
    5. 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.
    6. Bock, Stefan & Rosenberg, Otto & Brackel, Thomas van, 2006. "Controlling mixed-model assembly lines in real-time by using distributed systems," European Journal of Operational Research, Elsevier, vol. 168(3), pages 880-904, February.
    7. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2009. "Sequencing mixed-model assembly lines: Survey, classification and model critique," European Journal of Operational Research, Elsevier, vol. 192(2), pages 349-373, January.
    8. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2009. "The product rate variation problem and its relevance in real world mixed-model assembly lines," European Journal of Operational Research, Elsevier, vol. 197(2), pages 818-824, September.
    9. Nils Boysen & Malte Fliedner & Armin Scholl, 2006. "Produktionsplanung bei Variantenfließfertigung: Planungshierarchie und Hierarchische Planung," Jenaer Schriften zur Wirtschaftswissenschaft (Expired!) 22/2006, Friedrich-Schiller-Universität Jena, Wirtschaftswissenschaftliche Fakultät.
    10. Chatterjee A K & Mukherjee, Saral, 2006. "Unified Concept of Bottleneck," IIMA Working Papers WP2006-05-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    11. Maurizio Faccio & Mauro Gamberi & Alessandro Persona & Alberto Regattieri & Fabio Sgarbossa, 2013. "Design and simulation of assembly line feeding systems in the automotive sector using supermarket, kanbans and tow trains: a general framework," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 24(2), pages 187-208, July.
    12. Giard, Vincent & Jeunet, Jully, 2010. "Optimal sequencing of mixed models with sequence-dependent setups and utility workers on an assembly line," International Journal of Production Economics, Elsevier, vol. 123(2), pages 290-300, February.
    13. Nils Boysen & Malte Fliedner & Armin Scholl, 2006. "Level-Scheduling bei Variantenfließfertigung: Klassifikation, Literaturüberblick und Modellkritik," Jenaer Schriften zur Wirtschaftswissenschaft (Expired!) 26/2006, Friedrich-Schiller-Universität Jena, Wirtschaftswissenschaftliche Fakultät.
    14. 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.
    15. Wieslaw Kubiak & Mesut Yavuz, 2008. "Just-in-Time Smoothing Through Batching," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 506-518, June.

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