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An Evolutionary Procedure for a Bi-Objective Assembly Line Balancing Problem

Author

Listed:
  • Jordi Pereira

    (Innovation and Sustainability Data Lab (ISDaLab), UPF—Barcelona School of Management, 08008 Barcelona, Spain)

  • Mariona Vilà

    (EAE Business School, 08015 Barcelona, Spain)

Abstract

An assembly line is a manufacturing process commonly used in the production of commodity goods. The assembly process is divided into elementary tasks that are sequentially performed at serially arranged workstations. Among the various challenges that must be addressed during the design and operation of an assembly line, the assembly line balancing problem involves the assignment of tasks to different workstations. In its simplest form, this problem aims to distribute assembly operations among the workstations efficiently. An efficient line is one that optimizes a specific objective function, usually associated with maximizing throughput or minimizing resource requirements. In this study, we adopt a bi-objective approach to find a Pareto set of efficient solutions balancing throughput and resource requirements. To address this problem, we propose a multi-objective evolutionary method, complemented by single- and multi-objective local search procedures that leverage a polynomially solvable case of the problem. We then compare the results of these methods, including their hybridizations, through a computational experiment demonstrating the ability to achieve high-quality solutions.

Suggested Citation

  • Jordi Pereira & Mariona Vilà, 2025. "An Evolutionary Procedure for a Bi-Objective Assembly Line Balancing Problem," Mathematics, MDPI, vol. 13(20), pages 1-30, October.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:20:p:3336-:d:1775149
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    References listed on IDEAS

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    1. 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.
    2. Zikai Zhang & Qiuhua Tang & Zixiang Li & Liping Zhang, 2019. "Modelling and optimisation of energy-efficient U-shaped robotic assembly line balancing problems," International Journal of Production Research, Taylor & Francis Journals, vol. 57(17), pages 5520-5537, September.
    3. Jordi Pereira, 2015. "Empirical evaluation of lower bounding methods for the simple assembly line balancing problem," International Journal of Production Research, Taylor & Francis Journals, vol. 53(11), pages 3327-3340, June.
    4. Audrey Cerqueus & Xavier Delorme, 2019. "A branch-and-bound method for the bi-objective simple line assembly balancing problem," International Journal of Production Research, Taylor & Francis Journals, vol. 57(18), pages 5640-5659, September.
    5. Utku Girit & Meral Azizoğlu, 2021. "Rebalancing the assembly lines with total squared workload and total replacement distance objectives," International Journal of Production Research, Taylor & Francis Journals, vol. 59(22), pages 6702-6720, November.
    6. 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.
    7. Zixiang Li & Mukund Nilakantan Janardhanan & S. G. Ponnambalam, 2021. "Cost-oriented robotic assembly line balancing problem with setup times: multi-objective algorithms," Journal of Intelligent Manufacturing, Springer, vol. 32(4), pages 989-1007, April.
    8. Tiacci, Lorenzo & Mimmi, Mario, 2018. "Integrating ergonomic risks evaluation through OCRA index and balancing/sequencing decisions for mixed model stochastic asynchronous assembly lines," Omega, Elsevier, vol. 78(C), pages 112-138.
    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. 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.
    11. 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.
    12. Delorme, Maxence & Iori, Manuel & Martello, Silvano, 2016. "Bin packing and cutting stock problems: Mathematical models and exact algorithms," European Journal of Operational Research, Elsevier, vol. 255(1), pages 1-20.
    13. Jordi Pereira, 2018. "Modelling and solving a cost-oriented resource-constrained multi-model assembly line balancing problem," International Journal of Production Research, Taylor & Francis Journals, vol. 56(11), pages 3994-4016, June.
    14. 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).
    15. Rafael Pastor & Alberto García-Villoria & Manuel Laguna & Rafael Martí, 2015. "Metaheuristic procedures for the lexicographic bottleneck assembly line balancing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(11), pages 1815-1825, November.
    16. Chica, Manuel & Bautista, Joaquín & Cordón, Óscar & Damas, Sergio, 2016. "A multiobjective model and evolutionary algorithms for robust time and space assembly line balancing under uncertain demand," Omega, Elsevier, vol. 58(C), pages 55-68.
    17. 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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