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Level Schedules for Mixed-Model, Just-in-Time Processes

Author

Listed:
  • George Steiner

    (Management Science and Information Systems Area, Faculty of Business, McMaster University, Hamilton, Ontario, Canada L8S 4K1)

  • Scott Yeomans

    (Management Science and Information Systems Area, Faculty of Business, McMaster University, Hamilton, Ontario, Canada L8S 4K1)

Abstract

A mixed-model manufacturing facility running under a Just-in-Time (JIT) production system is controlled by setting the production sequence of the final assembly process. This sequence is set to achieve the primary goal of an organization operating under a JIT system, which is to maintain a constant rate of part usage. In this paper, a graph-theoretic approach is used to determine an optimal solution for this goal for a new, nonconvex objective function. Furthermore, it is shown that a schedule always exists such that, at all times, the deviation of actual production from the desired level of production for every product is never more than one unit.

Suggested Citation

  • George Steiner & Scott Yeomans, 1993. "Level Schedules for Mixed-Model, Just-in-Time Processes," Management Science, INFORMS, vol. 39(6), pages 728-735, June.
  • Handle: RePEc:inm:ormnsc:v:39:y:1993:i:6:p:728-735
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    File URL: http://dx.doi.org/10.1287/mnsc.39.6.728
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    Citations

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    Cited by:

    1. Boysen, Nils & Scholl, Armin & Wopperer, Nico, 2012. "Resequencing of mixed-model assembly lines: Survey and research agenda," European Journal of Operational Research, Elsevier, vol. 216(3), pages 594-604.
    2. Esteve, B. & Aubijoux, C. & Chartier, A. & T'kindt, V., 2006. "A recovering beam search algorithm for the single machine Just-in-Time scheduling problem," European Journal of Operational Research, Elsevier, vol. 172(3), pages 798-813, August.
    3. Zhu, Jin & Ding, Fong-Yuen, 2000. "A transformed two-stage method for reducing the part-usage variation and a comparison of the product-level and part-level solutions in sequencing mixed-model assembly lines," European Journal of Operational Research, Elsevier, vol. 127(1), pages 203-216, November.
    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. 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.
    7. 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.
    8. Mansouri, S. Afshin, 2005. "A Multi-Objective Genetic Algorithm for mixed-model sequencing on JIT assembly lines," European Journal of Operational Research, Elsevier, vol. 167(3), pages 696-716, December.
    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. Heike, G. & Ramulu, M. & Sorenson, E. & Shanahan, P. & Moinzadeh, K., 2001. "Mixed model assembly alternatives for low-volume manufacturing: The case of the aerospace industry," International Journal of Production Economics, Elsevier, vol. 72(2), pages 103-120, July.
    11. Balinski, Michel & Ramirez, Victoriano, 1999. "Parametric methods of apportionment, rounding and production," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 107-122, March.
    12. 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.
    13. Józefowska, Joanna & Józefowski, Lukasz & Kubiak, Wieslaw, 2009. "Apportionment methods and the Liu-Layland problem," European Journal of Operational Research, Elsevier, vol. 193(3), pages 857-864, March.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. Drexl, Andreas & Kimms, Alf, 1997. "Sequencing JIT mixed-model assembly lines under station load- and part usage-constraints," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 460, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    20. 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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