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Stability radii of optimal assembly line balances with a fixed workstation set

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  • Lai, Tsung-Chyan
  • Sotskov, Yuri N.
  • Dolgui, Alexandre
  • Zatsiupa, Aksana

Abstract

For an assembly line, it is required to minimize the line's cycle time for processing a partially ordered set of the assembly operations on a linearly ordered set of the workstations. The operation set is partitioned into two subsets, manual and automated. The durations of the manual operations are variable and those of the automated operations are fixed. We conduct a stability analysis for this problem. First, we derive a sufficient and necessary condition for the optimal line balance to have an infinitely large stability radius. Second, we derive formulas and an algorithm for calculating the stability radii for the optimal line balances. Third, we report computational results for the stability analysis of the benchmark instances. Finally, we outline managerial implications of the stability results for choosing most stable line balances, which save their optimality in spite of the variations of the operation durations, and for identifying the right time for the re-balancing of the assembly line.

Suggested Citation

  • Lai, Tsung-Chyan & Sotskov, Yuri N. & Dolgui, Alexandre & Zatsiupa, Aksana, 2016. "Stability radii of optimal assembly line balances with a fixed workstation set," International Journal of Production Economics, Elsevier, vol. 182(C), pages 356-371.
    • Handle: RePEc:eee:proeco:v:182:y:2016:i:c:p:356-371
    DOI: 10.1016/j.ijpe.2016.07.016
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Romero-Silva, Rodrigo & Shaaban, Sabry & Marsillac, Erika & Laarraf, Zouhair, 2021. "The impact of unequal processing time variability on reliable and unreliable merging line performance," International Journal of Production Economics, Elsevier, vol. 235(C).
    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).
    4. Lai, Tsung-Chyan & Sotskov, Yuri N. & Dolgui, Alexandre, 2019. "The stability radius of an optimal line balance with maximum efficiency for a simple assembly line," European Journal of Operational Research, Elsevier, vol. 274(2), pages 466-481.
    5. 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.

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