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Mixed-Model Sequencing to Minimize Utility Work and the Risk of Conveyor Stoppage

Author

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  • Li-Hui Tsai

    (Mail Stop 50B/3238, Lawrence Berkeley Laboratory, One Cyclotron Road, Berkeley, California 94720)

Abstract

This paper investigates the problem of sequencing N products on an assembly line with two objectives: minimizing (1) the risk of conveyor stoppage and (2) the total utility work. For a single station with arbitrary processing times, this problem is proved NP-hard in the strong sense for each of the two objectives. For a single station with two product types, each of which has a constant processing time, a sequence minimizing both objectives can be found in O(log N) computation time.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:41:y:1995:i:3:p:485-495
    DOI: 10.1287/mnsc.41.3.485
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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. 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.
    3. 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.
    4. Xiaobo, Zhao & Ohno, Katsuhisa, 2000. "Properties of a sequencing problem for a mixed model assembly line with conveyor stoppages," European Journal of Operational Research, Elsevier, vol. 124(3), pages 560-570, August.
    5. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2008. "Assembly line balancing: Which model to use when," International Journal of Production Economics, Elsevier, vol. 111(2), pages 509-528, February.
    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. 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.
    8. Bautista, Joaquin & Cano, Jaime, 2008. "Minimizing work overload in mixed-model assembly lines," International Journal of Production Economics, Elsevier, vol. 112(1), pages 177-191, March.
    9. Xiaobo Zhao & Jianyong Liu & Katsuhisa Ohno & Shigenori Kotani, 2007. "Modeling and analysis of a mixed‐model assembly line with stochastic operation times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(6), pages 681-691, September.
    10. 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.
    11. 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.
    12. Marshall L. Fisher & Christopher D. Ittner, 1999. "The Impact of Product Variety on Automobile Assembly Operations: Empirical Evidence and Simulation Analysis," Management Science, INFORMS, vol. 45(6), pages 771-786, June.
    13. 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.
    14. 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.
    15. Xiaobo Zhao & Katsuhisa Ohno & Hon‐Shiang Lau, 2004. "A balancing problem for mixed model assembly lines with a paced moving conveyor," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(3), pages 446-464, April.
    16. Bautista, Joaquín & Cano, Alberto & Alfaro, Rocío, 2012. "Models for MMSP-W considering workstation dependencies: A case study of Nissan’s Barcelona plant," European Journal of Operational Research, Elsevier, vol. 223(3), pages 669-679.
    17. 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.
    18. Bautista, Joaquín & Cano, Alberto, 2011. "Solving mixed model sequencing problem in assembly lines with serial workstations with work overload minimisation and interruption rules," European Journal of Operational Research, Elsevier, vol. 210(3), pages 495-513, May.
    19. H. Mosadegh & S.M.T. Fatemi Ghomi & G.A. Süer, 2017. "Heuristic approaches for mixed-model sequencing problem with stochastic processing times," International Journal of Production Research, Taylor & Francis Journals, vol. 55(10), pages 2857-2880, May.

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