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Designing parallel assembly lines with split workplaces: Model and optimization procedure

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  • Scholl, Armin
  • Boysen, Nils

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 workplaces (operators) required. This problem is called parallel assembly line balancing problem (PALBP) and has previously been considered by Gökçen et al. [2006. Balancing of parallel assembly lines. Int. J. Prod. Econ. 103, 600-609]. In the paper on hand, we give a detailed problem description and model the problem as a binary linear programme. 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.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:119:y:2009:i:1:p:90-100
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    References listed on IDEAS

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    1. Armin Scholl & Robert Klein, 1997. "SALOME: A Bidirectional Branch-and-Bound Procedure for Assembly Line Balancing," INFORMS Journal on Computing, INFORMS, vol. 9(4), pages 319-334, November.
    2. 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.
    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. 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.
    5. Scholl, Armin, 1995. "Balancing and sequencing of assembly lines," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 9690, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    6. G. J. Miltenburg & J. Wijngaard, 1994. "The U-line Line Balancing Problem," Management Science, INFORMS, vol. 40(10), pages 1378-1388, October.
    7. 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).
    8. 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, vol. 80(1), pages 94-102, January.
    9. 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).
    10. 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.
    11. 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.
    12. 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.
    13. Gokcen, Hadi & Agpak, Kursad & Benzer, Recep, 2006. "Balancing of parallel assembly lines," International Journal of Production Economics, Elsevier, vol. 103(2), pages 600-609, October.
    14. .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.
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    Cited by:

    1. Battaïa, Olga & Dolgui, Alexandre, 2013. "A taxonomy of line balancing problems and their solutionapproaches," International Journal of Production Economics, Elsevier, vol. 142(2), pages 259-277.
    2. Lale Özbakır & Gökhan Seçme, 2022. "A hyper-heuristic approach for stochastic parallel assembly line balancing problems with equipment costs," Operational Research, Springer, vol. 22(1), pages 577-614, March.
    3. Dashuang Li & Chaoyong Zhang & Xinyu Shao & Wenwen Lin, 2016. "A multi-objective TLBO algorithm for balancing two-sided assembly line with multiple constraints," Journal of Intelligent Manufacturing, Springer, vol. 27(4), pages 725-739, August.
    4. Tiacci, Lorenzo, 2015. "Simultaneous balancing and buffer allocation decisions for the design of mixed-model assembly lines with parallel workstations and stochastic task times," International Journal of Production Economics, Elsevier, vol. 162(C), pages 201-215.
    5. Boysen, Nils & Schulze, Philipp & Scholl, Armin, 2022. "Assembly line balancing: What happened in the last fifteen years?," European Journal of Operational Research, Elsevier, vol. 301(3), pages 797-814.
    6. Araújo, Felipe F.B. & Costa, Alysson M. & Miralles, Cristóbal, 2012. "Two extensions for the ALWABP: Parallel stations and collaborative approach," International Journal of Production Economics, Elsevier, vol. 140(1), pages 483-495.
    7. Sternatz, Johannes, 2014. "Enhanced multi-Hoffmann heuristic for efficiently solving real-world assembly line balancing problems in automotive industry," European Journal of Operational Research, Elsevier, vol. 235(3), pages 740-754.

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