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Mixed Model Line Balancing with Smoothed Station Assignments

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  • Nick T. Thomopoulos

    (Illinois Institute of Technology)

Abstract

The general practice in mixed model assembly line balancing is to assign work to stations in a manner that each station has an equal amount of work on a daily or shift basis. This paper shows how a modification to mixed model line balancing algorithms can be used so that the stations are loaded more consistently on a model by model basis as well. In addition, the modification now allows mixed model line balancing to become a plausible tool for batched assembly line processes. The procedure is general in nature and is applicable to most line balancing algorithms.

Suggested Citation

  • Nick T. Thomopoulos, 1970. "Mixed Model Line Balancing with Smoothed Station Assignments," Management Science, INFORMS, vol. 16(9), pages 593-603, May.
    • Handle: RePEc:inm:ormnsc:v:16:y:1970:i:9:p:593-603
    DOI: 10.1287/mnsc.16.9.593
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    Cited by:

    1. Hashemi-Petroodi, S. Ehsan & Thevenin, Simon & Kovalev, Sergey & Dolgui, Alexandre, 2022. "Model-dependent task assignment in multi-manned mixed-model assembly lines with walking workers," Omega, Elsevier, vol. 113(C).
    2. Karabati, Selcuk & Sayin, Serpil, 2003. "Assembly line balancing in a mixed-model sequencing environment with synchronous transfers," European Journal of Operational Research, Elsevier, vol. 149(2), pages 417-429, September.
    3. Akpinar, Sener & Elmi, Atabak & Bektaş, Tolga, 2017. "Combinatorial Benders cuts for assembly line balancing problems with setups," European Journal of Operational Research, Elsevier, vol. 259(2), pages 527-537.
    4. Becker, Christian & Scholl, Armin, 2006. "A survey on problems and methods in generalized assembly line balancing," European Journal of Operational Research, Elsevier, vol. 168(3), pages 694-715, February.
    5. Bock, Stefan, 2008. "Supporting offshoring and nearshoring decisions for mass customization manufacturing processes," European Journal of Operational Research, Elsevier, vol. 184(2), pages 490-508, January.
    6. Erel, Erdal & Gokcen, Hadi, 1999. "Shortest-route formulation of mixed-model assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 194-204, July.
    7. Boysen, Nils & Schulze, Philipp & Scholl, Armin, 2022. "Assembly line balancing: What happened in the last fifteen years?," European Journal of Operational Research, Elsevier, vol. 301(3), pages 797-814.
    8. Kim, Yeo Keun & Kim, Jae Yun & Kim, Yeongho, 2006. "An endosymbiotic evolutionary algorithm for the integration of balancing and sequencing in mixed-model U-lines," European Journal of Operational Research, Elsevier, vol. 168(3), pages 838-852, February.
    9. Bukchin, Joseph & Masin, Michael, 2004. "Multi-objective design of team oriented assembly systems," European Journal of Operational Research, Elsevier, vol. 156(2), pages 326-352, July.
    10. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2007. "A classification of assembly line balancing problems," European Journal of Operational Research, Elsevier, vol. 183(2), pages 674-693, December.
    11. Sikora, Celso Gustavo Stall & Lopes, Thiago Cantos & Magatão, Leandro, 2017. "Traveling worker assembly line (re)balancing problem: Model, reduction techniques, and real case studies," European Journal of Operational Research, Elsevier, vol. 259(3), pages 949-971.
    12. Bukchin, Joseph & Darel, Ezey & Rubinovitz, Jacob, 1997. "Team-oriented assembly system design: A new approach," International Journal of Production Economics, Elsevier, vol. 51(1-2), pages 47-57, August.
    13. 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.
    14. Sternatz, Johannes, 2014. "Enhanced multi-Hoffmann heuristic for efficiently solving real-world assembly line balancing problems in automotive industry," European Journal of Operational Research, Elsevier, vol. 235(3), pages 740-754.
    15. Zulch, Gert & Braun, Wolfgang J. & Schiller, Emmerich F., 1997. "Analytical approach of determining job division in manual assembly systems," International Journal of Production Economics, Elsevier, vol. 51(1-2), pages 123-134, August.
    16. Yılmaz Delice & Emel Kızılkaya Aydoğan & Uğur Özcan & Mehmet Sıtkı İlkay, 2017. "A modified particle swarm optimization algorithm to mixed-model two-sided assembly line balancing," Journal of Intelligent Manufacturing, Springer, vol. 28(1), pages 23-36, January.
    17. Gokcen, Hadi & Erel, Erdal, 1997. "A goal programming approach to mixed-model assembly line balancing problem," International Journal of Production Economics, Elsevier, vol. 48(2), pages 177-185, January.
    18. Lopes, Thiago Cantos & Michels, Adalberto Sato & Sikora, Celso Gustavo Stall & Molina, Rafael Gobbi & Magatão, Leandro, 2018. "Balancing and cyclically sequencing synchronous, asynchronous, and hybrid unpaced assembly lines," International Journal of Production Economics, Elsevier, vol. 203(C), pages 216-224.
    19. 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.
    20. Yavuz, Mesut & Tufekci, Suleyman, 2006. "A bounded dynamic programming solution to the batching problem in mixed-model just-in-time manufacturing systems," International Journal of Production Economics, Elsevier, vol. 103(2), pages 841-862, October.
    21. Thiago Cantos Lopes & Celso Gustavo Stall Sikora & Adalberto Sato Michels & Leandro Magatão, 2020. "Mixed-model assembly lines balancing with given buffers and product sequence: model, formulation comparisons, and case study," Annals of Operations Research, Springer, vol. 286(1), pages 475-500, March.
    22. Bukchin, Yossi & Rabinowitch, Ithai, 2006. "A branch-and-bound based solution approach for the mixed-model assembly line-balancing problem for minimizing stations and task duplication costs," European Journal of Operational Research, Elsevier, vol. 174(1), pages 492-508, October.
    23. 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.
    24. van Zante-de Fokkert, Jannet I. & de Kok, Ton G., 1997. "The mixed and multi model line balancing problem: a comparison," European Journal of Operational Research, Elsevier, vol. 100(3), pages 399-412, August.

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