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The Multiproduct Parallel Assembly Lines Balancing Problem: Model and Optimization Procedure

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  • Armin Scholl

    ()
    (Chair of Decision Analysis and Management Science, Friedrich-Schiller-University Jena)

  • Nils Boysen

    ()
    (Chair of Operations Management, Friedrich-Schiller-University Jena)

Abstract

A production system which consists of a number of parallel assembly lines is considered. On each line a certain product is manufactured observing a common cycle time. By arranging the lines in a favourable manner, it is possible to increase efficiency of the production system by combining stations of neighbouring lines when balancing them. The objective is to minimize the number of operators required. This problem is called Multiproduct Parallel Assembly Lines Balancing Problem (MPALBP) and has previously been considered by Gökçen, Agpak, and Benzer (Internat. J. Product. Economics 103, 600-609). In the paper on hand, we give a detailed problem description and model the problem as a binary linear program. Furthermore, an exact solution approach based on an extension of the well-known branch and bound procedure SALOME is proposed. Computational experiments show that this procedure clearly outperforms other approaches as it is able to solve small- to medium-sized problem instances to optimality and provides good heuristic solutions for large-sized problems.

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File URL: http://dx.doi.org/10.1016/j.ijpe.2009.01.011
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Bibliographic Info

Paper provided by Friedrich-Schiller-University Jena, School of Economics and Business Administration in its series Jena Research Papers in Business and Economics - Working and Discussion Papers with number 13/2008.

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Date of creation: 03 Jul 2008
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Publication status: Published as "Designing parallel assembly lines with split workplaces: Model and optimization procedure", in: International Journal of Production Economics 119/1 (2009), 90-100.
Handle: RePEc:jen:jenjbe:2008-13

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Related research

Keywords: assembly line balancing; parallel assembly lines; combinatorial optimization; branch-and-bound;

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References

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  1. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2007. "A classification of assembly line balancing problems," European Journal of Operational Research, Elsevier, Elsevier, vol. 183(2), pages 674-693, December.
  2. 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, Elsevier, vol. 168(3), pages 666-693, February.
  3. \.Ilker Baybars, 1986. "A Survey of Exact Algorithms for the Simple Assembly Line Balancing Problem," Management Science, INFORMS, INFORMS, vol. 32(8), pages 909-932, August.
  4. Scholl, Armin & Klein, Robert, 1997. "SALOME. a bidirectional branch and bound procedure for assembly line balancing," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 7890, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
  5. Scholl, Armin & Fliedner, Malte & Boysen, Nils, 2010. "Absalom: Balancing assembly lines with assignment restrictions," European Journal of Operational Research, Elsevier, Elsevier, vol. 200(3), pages 688-701, February.
  6. Klein, Robert, 2000. "Scheduling of resource constrained projects," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 1592, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
  7. Scholl, Armin & Klein, Robert, 1999. "Balancing assembly lines effectively - A computational comparison," European Journal of Operational Research, Elsevier, Elsevier, vol. 114(1), pages 50-58, April.
  8. Becker, Christian & Scholl, Armin, 2006. "A survey on problems and methods in generalized assembly line balancing," European Journal of Operational Research, Elsevier, Elsevier, vol. 168(3), pages 694-715, February.
  9. 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.
  10. Nils Boysen & Malte Fliedner & Armin Scholl, 2006. "Assembly line balancing: Which model to use when?," Jenaer Schriften zur Wirtschaftswissenschaft 23/2006, Friedrich-Schiller-Universität Jena, Wirtschaftswissenschaftliche Fakultät.
  11. Scholl, Armin, 1999. "Balancing and sequencing of assembly lines," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 10881, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
  12. Sprecher, Arno & Kolisch, Rainer & Drexl, Andreas, 1995. "Semi-active, active, and non-delay schedules for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, Elsevier, vol. 80(1), pages 94-102, January.
  13. 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, Elsevier, vol. 32(1), pages 118-129, October.
  14. Gokcen, Hadi & Agpak, Kursad & Benzer, Recep, 2006. "Balancing of parallel assembly lines," International Journal of Production Economics, Elsevier, Elsevier, vol. 103(2), pages 600-609, October.
  15. 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, Friedrich-Schiller-University Jena, School of Economics and Business Administration 05/2008, Friedrich-Schiller-University Jena, School of Economics and Business Administration.
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