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Analysis of a Preference Order Assembly Line Problem

Author

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  • Moshe Sniedovich

    (CSIR, South Africa)

Abstract

An analysis is made of a preference order dynamic programming procedure proposed in the literature for stochastic assembly line balancing problems. It is shown that in general the procedure does not satisfy the monotonicity condition and that therefore there is no guarantee that the solutions will be optimal. It is also shown that for a certain class of problems for which the procedure does yield optimal solutions, the proposed preference order model can be reformulated as a regular dynamic programming model.

Suggested Citation

  • Moshe Sniedovich, 1981. "Analysis of a Preference Order Assembly Line Problem," Management Science, INFORMS, vol. 27(9), pages 1067-1080, September.
    • Handle: RePEc:inm:ormnsc:v:27:y:1981:i:9:p:1067-1080
    DOI: 10.1287/mnsc.27.9.1067
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    Citations

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    Cited by:

    1. Franco Guerriero & John Miltenburg, 2003. "The stochastic U‐line balancing problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(1), pages 31-57, February.
    2. 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.
    3. 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.
    4. 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.
    5. 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.

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