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

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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
    DOI: 10.1287/mnsc.47.3.480.9777
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    References listed on IDEAS

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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. Jayashankar M. Swaminathan & Thomas R. Nitsch, 2007. "Managing Product Variety in Automobile Assembly: The Importance of the Sequencing Point," Interfaces, INFORMS, vol. 37(4), pages 324-333, August.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    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.
    12. 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.
    13. Asieh Varyani & Mohsen Salehi & Meysam Heydari Gharahcheshmeh, 2024. "Optimizing Mixed-Model Synchronous Assembly Lines with Bipartite Sequence-Dependent Setup Times in Advanced Manufacturing," Energies, MDPI, vol. 17(12), pages 1-20, June.
    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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