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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
    DOI: 10.1287/mnsc.39.6.728
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    Citations

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    Cited by:

    1. Parames Chutima & Sathaporn Olarnviwatchai, 2018. "A multi-objective car sequencing problem on two-sided assembly lines," Journal of Intelligent Manufacturing, Springer, vol. 29(7), pages 1617-1636, October.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    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. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Balinski, Michel & Ramirez, Victoriano, 1999. "Parametric methods of apportionment, rounding and production," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 107-122, March.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. N. Brauner & Y. Crama & A. Grigoriev & J. Klundert, 2005. "A Framework for the Complexity of High-Multiplicity Scheduling Problems," Journal of Combinatorial Optimization, Springer, vol. 9(3), pages 313-323, May.
    20. 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.
    21. 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.
    22. Paul Gölz & Dominik Peters & Ariel Procaccia, 2022. "In This Apportionment Lottery, the House Always Wins," Post-Print hal-03834513, HAL.
    23. 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.
    24. 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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