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Optimally solving the Alternative Subgraphs Assembly Line Balancing Problem

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Author Info

  • Armin Scholl

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

  • Nils Boysen

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

  • Malte Fliedner

Abstract

Assembly line balancing problems (ALBP) consist of distributing the total workload for manufacturing any unit of the products to be assembled among the work stations along a manufacturing line as used in the automotive or the electronics industries. Usually, it is assumed that the production process is fixed, i.e., has been determined in a preceding planning step. However, this sequential planning approach is often suboptimal because the efficiency of the production process can not be evaluated definitely with- out knowing the distribution of work. Instead, both decisions should be taken simultaneously. This has led to the Alternative Subgraphs ALBP. We give an alternative representation of the problem, formulate an improved mixed-integer program and propose a solution approach based on SALOME, an effective branch + bound procedure for the well-known Simple ALBP. Computational experiments indicate that the proposed procedure is success- ful in finding optimal solutions for small- and medium-sized problem instances and rather good heuris- tic solutions for large-scaled instances.

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File URL: http://dx.doi.org/10.1007/s10479-009-0578-4
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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 05/2008.

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Date of creation: 08 Apr 2008
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Publication status: Published in: Annals of Operations Research 172/1 (2009), 243-258.
Handle: RePEc:jen:jenjbe:2008-05

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Related research

Keywords: Assembly line balancing; Production process; Mass-production; Combinatorial optimization; Sequencing;

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References

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  1. 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.
  2. 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).
  3. 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.
  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. 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.
  6. Peter A. Pinto & David G. Dannenbring & Basheer M. Khumawala, 1983. "Assembly Line Balancing with Processing Alternatives: An Application," Management Science, INFORMS, vol. 29(7), pages 817-830, July.
  7. \.Ilker Baybars, 1986. "A Survey of Exact Algorithms for the Simple Assembly Line Balancing Problem," Management Science, INFORMS, vol. 32(8), pages 909-932, August.
  8. 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.
  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.
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Cited by:
  1. Scholl, Armin & Boysen, Nils, 2009. "Designing parallel assembly lines with split workplaces: Model and optimization procedure," International Journal of Production Economics, Elsevier, vol. 119(1), pages 90-100, May.
  2. 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.

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