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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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    1. Allan L. Gutjahr & George L. Nemhauser, 1964. "An Algorithm for the Line Balancing Problem," Management Science, INFORMS, vol. 11(2), pages 308-315, November.
    2. Gamberini, Rita & Grassi, Andrea & Rimini, Bianca, 2006. "A new multi-objective heuristic algorithm for solving the stochastic assembly line re-balancing problem," International Journal of Production Economics, Elsevier, vol. 102(2), pages 226-243, August.
    3. Kahan, Tomer & Bukchin, Yossi & Menassa, Roland & Ben-Gal, Irad, 2009. "Backup strategy for robots' failures in an automotive assembly system," International Journal of Production Economics, Elsevier, vol. 120(2), pages 315-326, August.
    4. Scholl, Armin, 1995. "Balancing and sequencing of assembly lines," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 9690, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. Chen, Ruey-Shun & Lu, Kun-Yung & Tai, Pei-Hao, 2004. "Optimizing assembly planning through a three-stage integrated approach," International Journal of Production Economics, Elsevier, vol. 88(3), pages 243-256, April.
    6. Corominas, Albert & Pastor, Rafael & Plans, Joan, 2008. "Balancing assembly line with skilled and unskilled workers," Omega, Elsevier, vol. 36(6), pages 1126-1132, December.
    7. Sotskov, Yuri N. & Dolgui, Alexandre & Portmann, Marie-Claude, 2006. "Stability analysis of an optimal balance for an assembly line with fixed cycle time," European Journal of Operational Research, Elsevier, vol. 168(3), pages 783-797, February.
    8. Chica, Manuel & Cordón, Óscar & Damas, Sergio & Bautista, Joaquín, 2013. "A robustness information and visualization model for time and space assembly line balancing under uncertain demand," International Journal of Production Economics, Elsevier, vol. 145(2), pages 761-772.
    9. Battaïa, Olga & Dolgui, Alexandre, 2013. "A taxonomy of line balancing problems and their solutionapproaches," International Journal of Production Economics, Elsevier, vol. 142(2), pages 259-277.
    10. Otto, Alena & Otto, Christian & Scholl, Armin, 2013. "Systematic data generation and test design for solution algorithms on the example of SALBPGen for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 228(1), pages 33-45.
    11. Evgeny Gurevsky & Olga Battaïa & Alexandre Dolgui, 2012. "Balancing of simple assembly lines under variations of task processing times," Annals of Operations Research, Springer, vol. 201(1), pages 265-286, December.
    12. Hamta, Nima & Fatemi Ghomi, S.M.T. & Jolai, F. & Akbarpour Shirazi, M., 2013. "A hybrid PSO algorithm for a multi-objective assembly line balancing problem with flexible operation times, sequence-dependent setup times and learning effect," International Journal of Production Economics, Elsevier, vol. 141(1), pages 99-111.
    13. .Ilker Baybars, 1986. "A Survey of Exact Algorithms for the Simple Assembly Line Balancing Problem," Management Science, INFORMS, vol. 32(8), pages 909-932, August.
    14. Morrison, David R. & Sewell, Edward C. & Jacobson, Sheldon H., 2014. "An application of the branch, bound, and remember algorithm to a new simple assembly line balancing dataset," European Journal of Operational Research, Elsevier, vol. 236(2), pages 403-409.
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    1. 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.
    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. 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.
    4. 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).
    5. 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.
    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).

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