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Robust balancing of straight assembly lines with interval task times☆

Author

Listed:
  • E Gurevsky

    (201;cole Nationale Supérieure des Mines de Saint-Étienne, Saint-Étienne, France)

  • Ö Hazır

    (201;cole Nationale Supérieure des Mines de Saint-Étienne, Saint-Étienne, France)

  • O Battaïa

    (201;cole Nationale Supérieure des Mines de Saint-Étienne, Saint-Étienne, France)

  • A Dolgui

    (201;cole Nationale Supérieure des Mines de Saint-Étienne, Saint-Étienne, France)

Abstract

This paper addresses the balancing problem for straight assembly lines where task times are not known exactly but given by intervals of their possible values. The objective is to assign the tasks to workstations minimizing the number of workstations while respecting precedence and cycle-time constraints. An adaptable robust optimization model is proposed to hedge against the worst-case scenario for task times. To find the optimal solution(s), a breadth-first search procedure is developed and evaluated on benchmark instances. The results obtained are analysed and some practical recommendations are given.

Suggested Citation

  • E Gurevsky & Ö Hazır & O Battaïa & A Dolgui, 2013. "Robust balancing of straight assembly lines with interval task times☆," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(11), pages 1607-1613, November.
    • Handle: RePEc:pal:jorsoc:v:64:y:2013:i:11:p:1607-1613
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    Citations

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    Cited by:

    1. Pirogov, Aleksandr & Gurevsky, Evgeny & Rossi, André & Dolgui, Alexandre, 2021. "Robust balancing of transfer lines with blocks of uncertain parallel tasks under fixed cycle time and space restrictions," European Journal of Operational Research, Elsevier, vol. 290(3), pages 946-955.
    2. Minghai Yuan & Hongyan Yu & Jinting Huang & Aimin Ji, 2019. "Reconfigurable assembly line balancing for cloud manufacturing," Journal of Intelligent Manufacturing, Springer, vol. 30(6), pages 2391-2405, August.
    3. Shibasaki, Rui S. & Rossi, André & Gurevsky, Evgeny, 2024. "A new upper bound based on Dantzig-Wolfe decomposition to maximize the stability radius of a simple assembly line under uncertainty," European Journal of Operational Research, Elsevier, vol. 313(3), pages 1015-1030.
    4. 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.
    5. Pereira, Jordi & Álvarez-Miranda, Eduardo, 2018. "An exact approach for the robust assembly line balancing problem," Omega, Elsevier, vol. 78(C), pages 85-98.
    6. 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).
    7. Borodin, Valeria & Dolgui, Alexandre & Hnaien, Faicel & Labadie, Nacima, 2016. "Component replenishment planning for a single-level assembly system under random lead times: A chance constrained programming approach," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 79-86.
    8. Bentaha, Mohand Lounes & Battaïa, Olga & Dolgui, Alexandre & Hu, S. Jack, 2015. "Second order conic approximation for disassembly line design with joint probabilistic constraints," European Journal of Operational Research, Elsevier, vol. 247(3), pages 957-967.

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