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A Survey of Exact Algorithms for the Simple Assembly Line Balancing Problem

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  • \.Ilker Baybars

    (Graduate School of Industrial Administration, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213)

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    Abstract

    In this survey paper we discuss the development of the simple assembly line balancing problem (SALBP); modifications and generalizations over time; present alternate 0-1 programming formulations and a general integer programming formulation of the problem; discuss other well-known problems related to SALBP; describe and comment on a number of exact (i.e., optimum-seeking) methods; and present a summary of the reported computational experiences. All models discussed here are deterministic (i.e., all input parameters are assumed to be known with certainty) and all the algorithms discussed are exact. The problem is termed "simple" in the sense that no "mixed-models," "subassembly lines," "zoning restrictions," etc. are considered. Due to the richness of the literature, we exclude from discussion here (a) the inexact (i.e., heuristic/approximate) algorithms for SALPB and (b) the algorithms for the general assembly line balancing problem (including the stochastic models).

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    File URL: http://dx.doi.org/10.1287/mnsc.32.8.909
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 32 (1986)
    Issue (Month): 8 (August)
    Pages: 909-932

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    Handle: RePEc:inm:ormnsc:v:32:y:1986:i:8:p:909-932

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    Related research

    Keywords: production/scheduling: line balancing; networks/graphs: applications; programming: integer algorithms;

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    Cited by:
    1. Matthias Amen, 2003. "Heuristic methods for cost-oriented assembly line balancing: a survey," GE, Growth, Math methods 0309003, EconWPA, revised 09 Sep 2003.
    2. Simon Emde & Nils Boysen & Armin Scholl, 2008. "Balancing mixed-model assembly lines: a computational evaluation of objectives to smoothen workload," Jena Research Papers in Business and Economics - Working and Discussion Papers 17/2008, Friedrich-Schiller-University Jena, School of Economics and Business Administration.
    3. Nils Boysen & Malte Fliedner & Armin Scholl, 2006. "Produktionsplanung bei Variantenfließfertigung: Planungshierarchie und Hierarchische Planung," Jenaer Schriften zur Wirtschaftswissenschaft 22/2006, Friedrich-Schiller-Universität Jena, Wirtschaftswissenschaftliche Fakultät.
    4. Nils Boysen & Malte Fliedner & Armin Scholl, 2006. "Assembly line balancing: Joint precedence graphs under high product variety," Jenaer Schriften zur Wirtschaftswissenschaft 34/2006, Friedrich-Schiller-Universität Jena, Wirtschaftswissenschaftliche Fakultät.
    5. Armin Scholl & Nils Boysen & Malte Fliedner, 2008. "Optimally solving the Alternative Subgraphs Assembly Line Balancing Problem," Jena Research Papers in Business and Economics - Working and Discussion Papers 05/2008, Friedrich-Schiller-University Jena, School of Economics and Business Administration.
    6. Armin Scholl & Malte Fliedner & Nils Boysen, 2008. "Absalom: Balancing assembly lines with assignment restrictions," Jena Research Papers in Business and Economics - Working and Discussion Papers 02/2008, Friedrich-Schiller-University Jena, School of Economics and Business Administration.
    7. Armin Scholl & Nils Boysen, 2008. "The Multiproduct Parallel Assembly Lines Balancing Problem: Model and Optimization Procedure," Jena Research Papers in Business and Economics - Working and Discussion Papers 13/2008, Friedrich-Schiller-University Jena, School of Economics and Business Administration.
    8. Christian Becker & Armin Scholl, 2008. "Balancing assembly lines with variable parallel workplaces: Problem definition, model and exact solution procedure," Jena Research Papers in Business and Economics - Working and Discussion Papers 06/2008, Friedrich-Schiller-University Jena, School of Economics and Business Administration.

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