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Note---Sequencing JIT Mixed-Model Assembly Lines

Author

Listed:
  • Robert R. Inman

    (Department of Industrial Engineering, Auburn University, Auburn, Alabama 36849)

  • Robert L. Bulfin

    (Department of Industrial Engineering, Auburn University, Auburn, Alabama 36849)

Abstract

We provide a new formulation and solution procedure to sequence a mixed model just-in-time (JIT) assembly system. Mixed model JIT assembly systems are a fundamental part of the well-known "Toyota Production System." The underlying idea in sequencing these systems is to maintain a constant usage rate of all parts on the line. We give a polynomial algorithm to determine the optimal sequence for an objective function that is mathematically different, but intuitively similar to the objective functions of previous researchers. Furthermore, a computational study indicates that the new algorithm is robust in that its sequences are as good as those generated by other algorithms when evaluated with respect to traditional objectives, but are found 200 times faster.

Suggested Citation

  • Robert R. Inman & Robert L. Bulfin, 1991. "Note---Sequencing JIT Mixed-Model Assembly Lines," Management Science, INFORMS, vol. 37(7), pages 901-904, July.
    • Handle: RePEc:inm:ormnsc:v:37:y:1991:i:7:p:901-904
    DOI: 10.1287/mnsc.37.7.901
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    Citations

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    Cited by:

    1. Tamura, Takayoshi & Long, Hong & Ohno, Katsuhisa, 1999. "A sequencing problem to level part usage rates and work loads for a mixed-model assembly line with a bypass subline," International Journal of Production Economics, Elsevier, vol. 60(1), pages 557-564, April.
    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. Bautista, Joaquin & Companys, Ramon & Corominas, Albert, 2000. "Note on cyclic sequences in the product rate variation problem," European Journal of Operational Research, Elsevier, vol. 124(3), pages 468-477, August.
    4. Drexl, Andreas & Jordan, Carsten, 1994. "Materialflußorientierte Produktionssteuerung bei Variantenfließfertigung," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 362, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    5. 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.
    6. Ioanna Makarouni & John Psarras & Eleftherios Siskos, 2015. "Interactive bicriterion decision support for a large scale industrial scheduling system," Annals of Operations Research, Springer, vol. 227(1), pages 45-61, April.
    7. McMullen, P.R. & Tarasewich, Peter, 2005. "A beam search heuristic method for mixed-model scheduling with setups," International Journal of Production Economics, Elsevier, vol. 96(2), pages 273-283, May.
    8. Matthießen, Lars & Drexl, Andreas & Kimms, Alf, 2000. "Constraint propagation algorithms for the car sequencing problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 531, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. Aigbedo, Henry, 2007. "An assessment of the effect of mass customization on suppliers' inventory levels in a JIT supply chain," European Journal of Operational Research, Elsevier, vol. 181(2), pages 704-715, September.
    10. Lebacque, Vassilissa & Jost, Vincent & Brauner, Nadia, 2007. "Simultaneous optimization of classical objectives in JIT scheduling," European Journal of Operational Research, Elsevier, vol. 182(1), pages 29-39, October.
    11. Bautista, J. & Companys, R. & Corominas, A., 1996. "Heuristics and exact algorithms for solving the Monden problem," European Journal of Operational Research, Elsevier, vol. 88(1), pages 101-113, January.
    12. Corominas, Albert & Kubiak, Wieslaw & Pastor, Rafael, 2010. "Mathematical programming modeling of the Response Time Variability Problem," European Journal of Operational Research, Elsevier, vol. 200(2), pages 347-357, January.
    13. Ding, Fong-Yuen & Zhu, Jin & Sun, Hui, 2006. "Comparing two weighted approaches for sequencing mixed-model assembly lines with multiple objectives," International Journal of Production Economics, Elsevier, vol. 102(1), pages 108-131, July.
    14. Drexl, Andreas & Kimms, Alf, 1999. "Belastungsorientierte Just-in-Time Variantenfließfertigung," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 502, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    15. 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.
    16. Wieslaw Kubiak & Mesut Yavuz, 2008. "Just-in-Time Smoothing Through Batching," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 506-518, June.
    17. 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.

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