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A priority rule-based constructive heuristic and an improvement method for balancing assembly lines with parallel multi-manned workstations

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  • Talip Kellegöz
  • Bilal Toklu

Abstract

Assembly lines of big-size products such as buses, trucks and helicopters are very different from the lines studied in the literature. These products’ manufacturing processes have a lot of tasks most of which have long task times. Since traditional assembly line models including only one worker in each station (i.e. simple assembly lines) or at most two workers (two-sided assembly lines) may not be suitable for manufacturing these type of products, they need much larger shop floor for a number of stations and long product flow times. In this study, an assembly line balancing problem (ALBP) with parallel multi-manned stations is considered. Following the problem definition, a mixed integer programming formulation is developed. A detailed study of priority rules for simple ALBPs is also presented, and a new efficient constructive heuristic algorithm based on priority rules is proposed. In order to improve solutions found by the constructive heuristic, a genetic algorithm-based solution procedure is also presented. Benchmark instances in the literature are solved by using the proposed mathematical programming formulation. It has been seen that only some of the small-size instances can be solved optimally by this way. So the efficiency of the proposed heuristic method is verified in small-size instances whose optimal solutions are found. For medium- and big-size instances, heuristics’ results and CPU times are demonstrated. A comparative evaluation with a branch and bound algorithm that can be found in the literature is also carried out, and results are presented.

Suggested Citation

  • Talip Kellegöz & Bilal Toklu, 2015. "A priority rule-based constructive heuristic and an improvement method for balancing assembly lines with parallel multi-manned workstations," International Journal of Production Research, Taylor & Francis Journals, vol. 53(3), pages 736-756, February.
  • Handle: RePEc:taf:tprsxx:v:53:y:2015:i:3:p:736-756
    DOI: 10.1080/00207543.2014.920548
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    Citations

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    Cited by:

    1. Christian Weckenborg & Karsten Kieckhäfer & Christoph Müller & Martin Grunewald & Thomas S. Spengler, 2020. "Balancing of assembly lines with collaborative robots," Business Research, Springer;German Academic Association for Business Research, vol. 13(1), pages 93-132, April.
    2. Lopes, Thiago Cantos & Pastre, Giuliano Vidal & Michels, Adalberto Sato & Magatão, Leandro, 2020. "Flexible multi-manned assembly line balancing problem: Model, heuristic procedure, and lower bounds for line length minimization," Omega, Elsevier, vol. 95(C).
    3. Andreu-Casas, Enric & García-Villoria, Alberto & Pastor, Rafael, 2022. "Multi-manned assembly line balancing problem with dependent task times: a heuristic based on solving a partition problem with constraints," European Journal of Operational Research, Elsevier, vol. 302(1), pages 96-116.
    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. Ömer Faruk Yılmaz & Büşra Yazıcı, 2022. "Tactical level strategies for multi-objective disassembly line balancing problem with multi-manned stations: an optimization model and solution approaches," Annals of Operations Research, Springer, vol. 319(2), pages 1793-1843, December.
    6. Michels, Adalberto Sato & Lopes, Thiago Cantos & Magatão, Leandro, 2020. "An exact method with decomposition techniques and combinatorial Benders’ cuts for the type-2 multi-manned assembly line balancing problem," Operations Research Perspectives, Elsevier, vol. 7(C).
    7. 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.
    8. Murat Şahin & Talip Kellegöz, 2023. "Benders’ decomposition based exact solution method for multi-manned assembly line balancing problem with walking workers," Annals of Operations Research, Springer, vol. 321(1), pages 507-540, February.
    9. Battaïa, Olga & Dolgui, Alexandre, 2022. "Hybridizations in line balancing problems: A comprehensive review on new trends and formulations," International Journal of Production Economics, Elsevier, vol. 250(C).
    10. Michels, Adalberto Sato & Lopes, Thiago Cantos & Sikora, Celso Gustavo Stall & Magatão, Leandro, 2019. "A Benders’ decomposition algorithm with combinatorial cuts for the multi-manned assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 278(3), pages 796-808.

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