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Absalom: Balancing assembly lines with assignment restrictions

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Author Info
Scholl, Armin
Fliedner, Malte
Boysen, Nils

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Abstract

Assembly line balancing problems (ALBPs) arise whenever an assembly line is configured, redesigned or adjusted. An ALBP consists of distributing the total workload for manufacturing products among the work stations along the line. On the one hand, research has focussed on developing effective and fast solution methods for exactly solving the simple assembly line balancing problem (SALBP). On the other hand, a number of real-world extensions of SALBP have been introduced but solved with straight-forward and simple heuristics in many cases. Therefore, there is a lack of procedures for exactly solving such generalized ALBP. In this paper, we show how to extend the well-known solution procedure Salome [Scholl, A., Klein, R., 1997. Salome: A bidirectional branch-and-bound procedure for assembly line balancing. Informs J. Comput. 9 319-334], which is able to solve even large SALBP instances in a very effective manner, to a problem extension with different types of assignment restrictions (called ARALBP). The extended procedure, referred to as Absalom, employs a favorable branching scheme, an arsenal of bounding rules and a variety of logical tests using ideas from constraint programming. Computational experiments show that Absalom is a very promising exact solution approach although the additional assignment restrictions complicate the problem considerably and necessitate a relaxation of some components of Salome.

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Publisher Info
Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 200 (2010)
Issue (Month): 3 (February)
Pages: 688-701
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Handle: RePEc:eee:ejores:v:200:y:2010:i:3:p:688-701

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Related research
Keywords: Assembly line balancing Assignment restrictions Combinatorial optimization Branch-and-bound;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Scholl, Armin & Klein, Robert, 1999. "Balancing assembly lines effectively - A computational comparison," European Journal of Operational Research, Elsevier, vol. 114(1), pages 50-58, April. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
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  5. 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. [Downloadable!] (restricted)
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  6. Gokcen, Hadi & Erel, Erdal, 1997. "A goal programming approach to mixed-model assembly line balancing problem," International Journal of Production Economics, Elsevier, vol. 48(2), pages 177-185, January. [Downloadable!] (restricted)
  7. Lapierre, Sophie D. & Ruiz, Angel & Soriano, Patrick, 2006. "Balancing assembly lines with tabu search," European Journal of Operational Research, Elsevier, vol. 168(3), pages 826-837, February. [Downloadable!] (restricted)
  8. Berger, Ilana & Bourjolly, Jean-Marie & Laporte, Gilbert, 1992. "Branch-and-bound algorithms for the multi-product assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 58(2), pages 215-222, April. [Downloadable!] (restricted)
  9. Saltzman, Matthew J. & Baybars, Ilker, 1987. "A two-process implicit enumeration algorithm for the simple assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 32(1), pages 118-129, October. [Downloadable!] (restricted)
  10. Klein, Robert & Scholl, Armin, 1999. "Computing lower bounds by destructive improvement: An application to resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 112(2), pages 322-346, January. [Downloadable!] (restricted)
  11. Scholl, Armin & Becker, Christian, 2006. "State-of-the-art exact and heuristic solution procedures for simple assembly line balancing," European Journal of Operational Research, Elsevier, vol. 168(3), pages 666-693, February. [Downloadable!] (restricted)
    Other versions:
  12. Armin Scholl & Nils Boysen & Malte Fliedner, 2006. "The sequence-dependent assembly line balancing problem," Jenaer Schriften zur Wirtschaftswissenschaft 18/2006, Friedrich-Schiller-Universität Jena, Wirtschaftswissenschaftliche Fakultät. [Downloadable!]
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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. [Downloadable!]
  2. 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. [Downloadable!]
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