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On the MILP model for the U-shaped assembly line balancing problems

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  • Fattahi, Ali
  • Turkay, Metin

Abstract

U-shaped assembly lines are an important configuration of modern manufacturing systems due to their flexibility to adapt to varying market demands. In U-shaped lines, tasks are assigned after their predecessors or successors. Some MILP models have been proposed to formulate the U-shaped assembly line balancing problem using either–or constraints to express precedence relationships. We show that this modeling approach reported in the literature may often find optimal solutions that are infeasible and verify this on a large set of benchmark problems. We present a revision to this model to accurately express the precedence relationships without introducing additional variables or constraints. We also illustrate on the same benchmark problems that our revision always reports solutions that are feasible.

Suggested Citation

  • Fattahi, Ali & Turkay, Metin, 2015. "On the MILP model for the U-shaped assembly line balancing problems," European Journal of Operational Research, Elsevier, vol. 242(1), pages 343-346.
    • Handle: RePEc:eee:ejores:v:242:y:2015:i:1:p:343-346
    DOI: 10.1016/j.ejor.2014.10.036
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    References listed on IDEAS

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    1. 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.
    2. Aase, Gerald R. & Olson, John R. & Schniederjans, Marc J., 2004. "U-shaped assembly line layouts and their impact on labor productivity: An experimental study," European Journal of Operational Research, Elsevier, vol. 156(3), pages 698-711, August.
    3. 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.
    4. James R. Jackson, 1956. "A Computing Procedure for a Line Balancing Problem," Management Science, INFORMS, vol. 2(3), pages 261-271, April.
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    Cited by:

    1. Heydar Ali Mardani-Fard & Abdollah Hadi-Vencheh & Ali Mahmoodirad & Sadegh Niroomand, 2020. "An effective hybrid goal programming approach for multi-objective straight assembly line balancing problem with stochastic parameters," Operational Research, Springer, vol. 20(4), pages 1939-1976, December.
    2. 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.
    3. Battaïa, Olga & Dolgui, Alexandre, 2022. "Hybridizations in line balancing problems: A comprehensive review on new trends and formulations," International Journal of Production Economics, Elsevier, vol. 250(C).

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