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Balancing of simple assembly lines under variations of task processing times

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  • Evgeny Gurevsky
  • Olga Battaïa
  • Alexandre Dolgui

Abstract

One of the simple assembly line balancing problems (SALBPs), known as SALBP-E, is considered. It consists in assigning a given set V={1,2,…,n} of elementary tasks to linearly ordered workstations with respect to precedence and capacity restrictions while minimizing the following product: number of used workstations × working time on the most loaded one. The stability of feasible and optimal solutions for this problem with regard to possible variations of the processing time of certain tasks is investigated. Two heuristic procedures finding a compromise between the efficiency and the considered stability measure of studied solutions are suggested and evaluated on known benchmarks. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:201:y:2012:i:1:p:265-286:10.1007/s10479-012-1203-5
    DOI: 10.1007/s10479-012-1203-5
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    References listed on IDEAS

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    1. Urban, Timothy L. & Chiang, Wen-Chyuan, 2006. "An optimal piecewise-linear program for the U-line balancing problem with stochastic task times," European Journal of Operational Research, Elsevier, vol. 168(3), pages 771-782, February.
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    6. 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.
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    Cited by:

    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. Thiago Cantos Lopes & Celso Gustavo Stall Sikora & Adalberto Sato Michels & Leandro Magatão, 2020. "Mixed-model assembly lines balancing with given buffers and product sequence: model, formulation comparisons, and case study," Annals of Operations Research, Springer, vol. 286(1), pages 475-500, March.
    3. 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.
    4. Pereira, Jordi & Álvarez-Miranda, Eduardo, 2018. "An exact approach for the robust assembly line balancing problem," Omega, Elsevier, vol. 78(C), pages 85-98.
    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. Junkai He & Feng Chu & Feifeng Zheng & Ming Liu, 2021. "A green-oriented bi-objective disassembly line balancing problem with stochastic task processing times," Annals of Operations Research, Springer, vol. 296(1), pages 71-93, January.
    7. Can B. Kalayci & Olcay Polat & Surendra M. Gupta, 2016. "A hybrid genetic algorithm for sequence-dependent disassembly line balancing problem," Annals of Operations Research, Springer, vol. 242(2), pages 321-354, July.
    8. 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.
    9. 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.

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