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A methodology for solving single-model, stochastic assembly line balancing problem

Author

Listed:
  • Sarin, Subhash C.
  • Erel, Erdal
  • Dar-El, Ezey M.

Abstract

In this paper, a methodology is developed to solve the single-model, stochastic assembly line balancing problem for the objective of minimizing the total labor cost and the expected incompletion cost arising from tasks not completed within the prescribed cycle time. The methodology is based on determining an initial DP based solution and its improvement using a branch-and-bound procedure which uses an approximate solution instead of a lower bound for fathoming nodes. Detailed experimentation shows the superiority of this method over the most promising one from the literature.

Suggested Citation

  • Sarin, Subhash C. & Erel, Erdal & Dar-El, Ezey M., 1999. "A methodology for solving single-model, stochastic assembly line balancing problem," Omega, Elsevier, vol. 27(5), pages 525-535, October.
    • Handle: RePEc:eee:jomega:v:27:y:1999:i:5:p:525-535
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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. Chakravarty, Amiya K. & Shtub, Avraham, 1986. "A cost minimization procedure for mixed model production lines with normally distributed task times," European Journal of Operational Research, Elsevier, vol. 23(1), pages 25-36, January.
    3. Fred N. Silverman & John C. Carter, 1986. "A Cost-Based Methodology for Stochastic Line Balancing with Intermittent Line Stoppages," Management Science, INFORMS, vol. 32(4), pages 455-463, April.
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    Cited by:

    1. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2007. "A classification of assembly line balancing problems," European Journal of Operational Research, Elsevier, vol. 183(2), pages 674-693, December.
    2. Delorme, Xavier & Dolgui, Alexandre & Kovalyov, Mikhail Y., 2012. "Combinatorial design of a minimum cost transfer line," Omega, Elsevier, vol. 40(1), pages 31-41, January.
    3. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2008. "Assembly line balancing: Which model to use when," International Journal of Production Economics, Elsevier, vol. 111(2), pages 509-528, February.
    4. 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.
    5. Becker, Christian & Scholl, Armin, 2006. "A survey on problems and methods in generalized assembly line balancing," European Journal of Operational Research, Elsevier, vol. 168(3), pages 694-715, February.
    6. Lale Özbakır & Gökhan Seçme, 2022. "A hyper-heuristic approach for stochastic parallel assembly line balancing problems with equipment costs," Operational Research, Springer, vol. 22(1), pages 577-614, March.
    7. Yamada, Tetsuo & Matsui, Masayuki, 2003. "A management design approach to assembly line systems," International Journal of Production Economics, Elsevier, vol. 84(2), pages 193-204, May.
    8. Marcus Ritt & Alysson M. Costa & Cristóbal Miralles, 2016. "The assembly line worker assignment and balancing problem with stochastic worker availability," International Journal of Production Research, Taylor & Francis Journals, vol. 54(3), pages 907-922, February.
    9. Aase, Gerald R. & Olson, John R. & Schniederjans, Marc J., 2004. "U-shaped assembly line layouts and their impact on labor productivity: An experimental study," European Journal of Operational Research, Elsevier, vol. 156(3), pages 698-711, August.
    10. 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.
    11. Xiaobo Zhao & Jianyong Liu & Katsuhisa Ohno & Shigenori Kotani, 2007. "Modeling and analysis of a mixed‐model assembly line with stochastic operation times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(6), pages 681-691, September.
    12. 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.
    13. Diefenbach, Johannes & Stolletz, Raik, 2022. "Stochastic assembly line balancing: General bounds and reliability-based branch-and-bound algorithm," European Journal of Operational Research, Elsevier, vol. 302(2), pages 589-605.
    14. Pereira, Jordi & Álvarez-Miranda, Eduardo, 2018. "An exact approach for the robust assembly line balancing problem," Omega, Elsevier, vol. 78(C), pages 85-98.
    15. Wenqiang Zhang & Weitao Xu & Gang Liu & Mitsuo Gen, 2017. "An effective hybrid evolutionary algorithm for stochastic multiobjective assembly line balancing problem," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 783-790, March.
    16. Parvaneh Samouei & Mahsa Sobhishoja, 2023. "Robust counterpart mathematical models for balancing, sequencing, and assignment of robotic U-shaped assembly lines with considering failures and setup times," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 87-124, March.
    17. 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.
    18. 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.
    19. 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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    Keywords

    Assembly Line balancing Heuristics;

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