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Rebalancing the assembly lines with total squared workload and total replacement distance objectives

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  • Utku Girit
  • Meral Azizoğlu

Abstract

Assembly line balancing is an important and well recognised operations research problem. The current line balance may not stay optimal, even feasible, due to the disruptions in one or more workstations. In this study, after the disruption, we aim to rebalance the assembly line by considering the trade-off between workload balancing (fairness measure) and total replacement distance for the tasks assigned to the different workstations (stability measure).We try to generate all non-dominated objective function vectors for the defined fairness and stability measures. Two algorithms are developed: exact algorithm (classical approach) and tabu search algorithm. The results of the experiments have shown that the classical approach returns exact non-dominated objective vectors with up to 40 tasks and 7 workstations in one hour, and the tabu search algorithm returns approximate non-dominated objective vectors that are very close to their exact counterparts and can solve large sized instances with up to 94 tasks and 7 workstations in less than 10 s.

Suggested Citation

  • 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.
  • Handle: RePEc:taf:tprsxx:v:59:y:2021:i:22:p:6702-6720
    DOI: 10.1080/00207543.2020.1823027
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    Cited by:

    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. Liberatore, Federico & Camacho-Collados, Miguel & Quijano-Sánchez, Lara, 2023. "Towards social fairness in smart policing: Leveraging territorial, racial, and workload fairness in the police districting problem," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
    3. 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).

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