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A Cost-Based Methodology for Stochastic Line Balancing with Intermittent Line Stoppages

Author

Listed:
  • Fred N. Silverman

    (Lubin Graduate School of Business, Pace University, White Plains, New York 10601)

  • John C. Carter

    (Lubin Graduate School of Business, Pace University, White Plains, New York 10601)

Abstract

This paper examines the effect of stochastic task times on the total operating costs of a continuously paced assembly line under the assumption that the line is stopped whenever at least one work station requires more time than allotted. A comprehensive stochastic cost function is integrated into an efficient balancing algorithm to enable an approximately minimum cost balance to be obtained. An experiment was conducted to determine the cost savings resulting from using the stochastic method as compared to two deterministic methods. The stochastic method of this paper produced lower cost balances in most cases studied.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:32:y:1986:i:4:p:455-463
    DOI: 10.1287/mnsc.32.4.455
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    Citations

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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. McMullen, Patrick R. & Frazier, Gregory V., 1997. "A heuristic for solving mixed-model line balancing problems with stochastic task durations and parallel stations," International Journal of Production Economics, Elsevier, vol. 51(3), pages 177-190, September.
    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. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Kenneth H. Doerr & Theodore D. Klastorin & Michael J. Magazine, 2000. "Synchronous Unpaced Flow Lines with Worker Differences and Overtime Cost," Management Science, INFORMS, vol. 46(3), pages 421-435, March.
    10. Chiang, Wen-Chyuan & Urban, Timothy L., 2006. "The stochastic U-line balancing problem: A heuristic procedure," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1767-1781, December.
    11. Boysen, Nils & Fliedner, Malte, 2008. "A versatile algorithm for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 184(1), pages 39-56, January.
    12. Süleyman Mete & Faruk Serin & Zeynel Abidin Çil & Erkan Çelik & Eren Özceylan, 2023. "A comparative analysis of meta-heuristic methods on disassembly line balancing problem with stochastic time," Annals of Operations Research, Springer, vol. 321(1), pages 371-408, February.
    13. 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.
    14. Gokcen, Hadi & Faruk Baykoc, O., 1999. "A new line remedial policy for the paced lines with stochastic task times," International Journal of Production Economics, Elsevier, vol. 58(2), pages 191-197, January.
    15. 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.
    16. Wen-Chyuan Chiang & Timothy L. Urban & Chunyong Luo, 2016. "Balancing stochastic two-sided assembly lines," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6232-6250, October.

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