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A population-based metaheuristic for the capacitated lot-sizing problem with unrelated parallel machines

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  • Benjamin Vincent
  • Christophe Duhamel
  • Libo Ren
  • Nikolay Tchernev

Abstract

This paper deals with the capacitated lot-sizing problem with multiple items, setup time and unrelated parallel machines. The aim of the article is to propose an efficient population-based metaheuristic to tackle this problem. In the proposed approach, a dynamic constructive heuristic is proposed for generating a set of initial solutions. A path-relinking strategy between solutions in the current population is integrated in the diversification procedure, allowing us to explore the solution space further. The population is then intensified using a local search procedure which uses an operator based on machine capacity relaxation coupled with a repair procedure. The proposed approach is evaluated from the instances introduced in Toledo, F. M. B., and V. A. Armentano (2006.“A Lagrangian-Based Heuristic for the Capacitated Lot-Sizing Problem in Parallel Machines.” European Journal of Operational Research 175 (2): 1070–1083). The results of the experiment show that the proposed approach yields competitive results in terms of solution quality for most of the instances.

Suggested Citation

  • Benjamin Vincent & Christophe Duhamel & Libo Ren & Nikolay Tchernev, 2020. "A population-based metaheuristic for the capacitated lot-sizing problem with unrelated parallel machines," International Journal of Production Research, Taylor & Francis Journals, vol. 58(21), pages 6689-6706, November.
    • Handle: RePEc:taf:tprsxx:v:58:y:2020:i:21:p:6689-6706
    DOI: 10.1080/00207543.2019.1685699
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    Cited by:

    1. Mahmood Vahdani & Zeinab Sazvar & Kannan Govindan, 2022. "An integrated economic disposal and lot-sizing problem for perishable inventories with batch production and corrupt stock-dependent holding cost," Annals of Operations Research, Springer, vol. 315(2), pages 2135-2167, August.

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