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Optimally solving the alternative subgraphs assembly line balancing problem

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  • Armin Scholl
  • Nils Boysen
  • 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 without 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-and-bound procedure for the well-known Simple ALBP. Computational experiments indicate that the proposed procedure is successful in finding optimal solutions for small- and medium-sized problem instances and rather good heuristic solutions for large-scaled instances. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • Armin Scholl & Nils Boysen & Malte Fliedner, 2009. "Optimally solving the alternative subgraphs assembly line balancing problem," Annals of Operations Research, Springer, vol. 172(1), pages 243-258, November.
    • Handle: RePEc:spr:annopr:v:172:y:2009:i:1:p:243-258:10.1007/s10479-009-0578-4
    DOI: 10.1007/s10479-009-0578-4
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    References listed on IDEAS

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    1. 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).
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    Cited by:

    1. Jonathan Oesterle & Lionel Amodeo & Farouk Yalaoui, 2019. "A comparative study of Multi-Objective Algorithms for the Assembly Line Balancing and Equipment Selection Problem under consideration of Product Design Alternatives," Journal of Intelligent Manufacturing, Springer, vol. 30(3), pages 1021-1046, March.
    2. Servranckx, Tom & Vanhoucke, Mario, 2019. "A tabu search procedure for the resource-constrained project scheduling problem with alternative subgraphs," European Journal of Operational Research, Elsevier, vol. 273(3), pages 841-860.
    3. Lopes, Thiago Cantos & Sikora, C.G.S. & Molina, Rafael Gobbi & Schibelbain, Daniel & Rodrigues, L.C.A. & Magatão, Leandro, 2017. "Balancing a robotic spot welding manufacturing line: An industrial case study," European Journal of Operational Research, Elsevier, vol. 263(3), pages 1033-1048.
    4. Talip Kellegöz, 2017. "Assembly line balancing problems with multi-manned stations: a new mathematical formulation and Gantt based heuristic method," Annals of Operations Research, Springer, vol. 253(1), pages 377-404, June.
    5. Minghai Yuan & Hongyan Yu & Jinting Huang & Aimin Ji, 2019. "Reconfigurable assembly line balancing for cloud manufacturing," Journal of Intelligent Manufacturing, Springer, vol. 30(6), pages 2391-2405, August.
    6. Bentaha, Mohand Lounes & Battaïa, Olga & Dolgui, Alexandre & Hu, S. Jack, 2015. "Second order conic approximation for disassembly line design with joint probabilistic constraints," European Journal of Operational Research, Elsevier, vol. 247(3), pages 957-967.
    7. Thiago Cantos Lopes & Celso Gustavo Stall Sikora & Adalberto Sato Michels & Leandro Magatão, 2020. "Mixed-model assembly lines balancing with given buffers and product sequence: model, formulation comparisons, and case study," Annals of Operations Research, Springer, vol. 286(1), pages 475-500, March.
    8. Sinem Buyuksaatci Kiris & Enes Eryarsoy & Selim Zaim & Dursun Delen, 2023. "An integrated approach for lean production using simulation and data envelopment analysis," Annals of Operations Research, Springer, vol. 320(2), pages 863-886, January.
    9. Otto, Alena & Scholl, Armin, 2011. "Incorporating ergonomic risks into assembly line balancing," European Journal of Operational Research, Elsevier, vol. 212(2), pages 277-286, July.
    10. 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.
    11. Otto, Alena & Otto, Christian & Scholl, Armin, 2013. "Systematic data generation and test design for solution algorithms on the example of SALBPGen for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 228(1), pages 33-45.

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