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An Iterated Min–Max procedure for practical workload balancing on non-identical parallel machines in manufacturing systems

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  • Christ, Quentin
  • Dauzère-Pérès, Stéphane
  • Lepelletier, Guillaume

Abstract

This paper presents an original approach for a practical workload balancing problem on non-identical parallel machines in manufacturing systems. After showing the limitations of an initial model, in particular to support relevant decisions, the min–max fairness workload balancing problem is motivated and positioned in the literature. The Iterated Min–Max (IMM) procedure is then presented, with its properties, and illustrated. The IMM consists in solving a succession of linear programs using information from dual variables obtained at each iteration. Computational results on industrial instances show the relevance of the approach when compared to the initial model. The current use of the IMM procedure in an industrial tool is discussed.

Suggested Citation

  • Christ, Quentin & Dauzère-Pérès, Stéphane & Lepelletier, Guillaume, 2019. "An Iterated Min–Max procedure for practical workload balancing on non-identical parallel machines in manufacturing systems," European Journal of Operational Research, Elsevier, vol. 279(2), pages 419-428.
    • Handle: RePEc:eee:ejores:v:279:y:2019:i:2:p:419-428
    DOI: 10.1016/j.ejor.2019.06.007
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    References listed on IDEAS

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    1. Liu, Songsong & Papageorgiou, Lazaros G., 2013. "Multiobjective optimisation of production, distribution and capacity planning of global supply chains in the process industry," Omega, Elsevier, vol. 41(2), pages 369-382.
    2. Wlodzimierz Ogryczak & Hanan Luss & Michał Pióro & Dritan Nace & Artur Tomaszewski, 2014. "Fair Optimization and Networks: A Survey," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-25, September.
    3. Christopher S. Tang, 1988. "A Max-Min Allocation Problem: Its Solutions and Applications," Operations Research, INFORMS, vol. 36(2), pages 359-367, April.
    4. Liu, Songsong & Papageorgiou, Lazaros G., 2018. "Fair profit distribution in multi-echelon supply chains via transfer prices," Omega, Elsevier, vol. 80(C), pages 77-94.
    5. Rowshannahad, M. & Dauzère-Pérès, S. & Cassini, B., 2015. "Capacitated qualification management in semiconductor manufacturing," Omega, Elsevier, vol. 54(C), pages 50-59.
    6. Wang, Lizhong & Fang, Liping & Hipel, Keith W., 2008. "Basin-wide cooperative water resources allocation," European Journal of Operational Research, Elsevier, vol. 190(3), pages 798-817, November.
    7. Lars Mönch & Reha Uzsoy & John W. Fowler, 2018. "A survey of semiconductor supply chain models part III: master planning, production planning, and demand fulfilment," International Journal of Production Research, Taylor & Francis Journals, vol. 56(13), pages 4565-4584, July.
    8. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    9. Alois Behringer, Fred, 1981. "A simplex based algorithm for the lexicographically extended linear maxmin problem," European Journal of Operational Research, Elsevier, vol. 7(3), pages 274-283, July.
    10. Semih Yalçındağ & Andrea Matta & Evren Şahin & J. George Shanthikumar, 2016. "The patient assignment problem in home health care: using a data-driven method to estimate the travel times of care givers," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 304-335, June.
    11. Hanan Luss, 1999. "On Equitable Resource Allocation Problems: A Lexicographic Minimax Approach," Operations Research, INFORMS, vol. 47(3), pages 361-378, June.
    12. Semih Yalçındag & Evren Sahin & Andrea Matta, 2016. "The patient assignment problem in home health care: using a data-driven method to estimate the travel times of care givers," Post-Print hal-01736728, HAL.
    13. Dritan Nace & James B. Orlin, 2007. "Lexicographically Minimum and Maximum Load Linear Programming Problems," Operations Research, INFORMS, vol. 55(1), pages 182-187, February.
    14. Mohamed Cissé & Semih Yalçindag & Yannick Kergosien & Evren Sahin & Christophe Lenté & Andrea Matta, 2017. "OR problems related to Home Health Care: A review of relevant routing and scheduling problems," Post-Print hal-01736714, HAL.
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    1. Perraudat, Antoine & Dauzère-Pérès, Stéphane & Vialletelle, Philippe, 2022. "Robust tactical qualification decisions in flexible manufacturing systems," Omega, Elsevier, vol. 106(C).

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