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Benders’ decomposition based exact solution method for multi-manned assembly line balancing problem with walking workers

Author

Listed:
  • Murat Şahin

    (Celal Bayar University
    Gazi University)

  • Talip Kellegöz

    (Gazi University)

Abstract

This article considers multi-manned assembly line balancing problems with walking workers. The objective of the problem is the minimization of number of workers and workstations simultaneously. Several exact-solution algorithms based on Benders’ decomposition are proposed to solve the problem optimally. In one of the algorithms a constructive heuristic that generates effective task-worker assignments and some problem-specific symmetry breaking constraints are used. Moreover, the solutions obtained by meta-heuristic in the literature are used as starting points to increase the performance of proposed decomposition methods. A benchmark set of 99 instances are used to analyze the performance of the proposed exact methods, contribution of the developed heuristic and the ability of Benders’ decomposition on improving the starting solutions. Our results indicate a significiant improvement in the optimal solvability of the problem for larger-sized instances. Suggested methods also improve the results of the meta-heuristic method for significant number of instances. Consequntly, proposed methods solved most of instances optimally and they are able to find the optimal solutions of 17 instances that cannot be solved optimally with previous methods.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:annopr:v:321:y:2023:i:1:d:10.1007_s10479-022-05118-z
    DOI: 10.1007/s10479-022-05118-z
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    References listed on IDEAS

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    1. Emre Cevikcan & Dicle Aslan & Fatma Betul Yeni, 2020. "Disassembly line design with multi-manned workstations: a novel heuristic optimisation approach," International Journal of Production Research, Taylor & Francis Journals, vol. 58(3), pages 649-670, February.
    2. Bahman Naderi & Ahmed Azab & Katayoun Borooshan, 2019. "A realistic multi-manned five-sided mixed-model assembly line balancing and scheduling problem with moving workers and limited workspace," International Journal of Production Research, Taylor & Francis Journals, vol. 57(3), pages 643-661, February.
    3. 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).
    4. Gianni Codato & Matteo Fischetti, 2006. "Combinatorial Benders' Cuts for Mixed-Integer Linear Programming," Operations Research, INFORMS, vol. 54(4), pages 756-766, August.
    5. Akpinar, Sener & Elmi, Atabak & Bektaş, Tolga, 2017. "Combinatorial Benders cuts for assembly line balancing problems with setups," European Journal of Operational Research, Elsevier, vol. 259(2), pages 527-537.
    6. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    7. 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).
    8. Sikora, Celso Gustavo Stall & Lopes, Thiago Cantos & Magatão, Leandro, 2017. "Traveling worker assembly line (re)balancing problem: Model, reduction techniques, and real case studies," European Journal of Operational Research, Elsevier, vol. 259(3), pages 949-971.
    9. Becker, Christian & Scholl, Armin, 2009. "Balancing assembly lines with variable parallel workplaces: Problem definition and effective solution procedure," European Journal of Operational Research, Elsevier, vol. 199(2), pages 359-374, December.
    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.
    11. 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.
    12. Murat Şahin & Talip Kellegöz, 2019. "Balancing Multi-Manned Assembly Lines With Walking Workers: Problem Definition, Mathematical Formulation, and an Electromagnetic Field Optimisation Algorithm," International Journal of Production Research, Taylor & Francis Journals, vol. 57(20), pages 6487-6505, October.
    13. Abdolreza Roshani & Davide Giglio, 2017. "Simulated annealing algorithms for the multi-manned assembly line balancing problem: minimising cycle time," International Journal of Production Research, Taylor & Francis Journals, vol. 55(10), pages 2731-2751, May.
    14. John J. Bartholdi & Donald D. Eisenstein, 1996. "A Production Line that Balances Itself," Operations Research, INFORMS, vol. 44(1), pages 21-34, February.
    15. 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.
    16. Abolfazl Kazemi & Abdolhossein Sedighi, 2013. "A cost-oriented model for balancing mixed-model assembly lines with multi-manned workstations," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 16(3), pages 289-309.
    17. 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).
    18. Dian Huang & Zhaofang Mao & Kan Fang & Biao Yuan, 2022. "Combinatorial Benders decomposition for mixed-model two-sided assembly line balancing problem," International Journal of Production Research, Taylor & Francis Journals, vol. 60(8), pages 2598-2624, April.
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