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Scheduling Unrelated Parallel Machines with Sequence Dependent Setup Times and Weighted Earliness–Tardiness Minimization

In: Just-in-Time Systems

Author

Listed:
  • Eva Vallada

    (Universidad Politécnica de Valencia)

  • Rubén Ruiz

    (Universidad Politécnica de Valencia)

Abstract

This work deals with the unrelated parallel machine scheduling problem with machine and job-sequence dependent setup times. The studied objective is the minimization of the total weighted earliness and tardiness. We study existing Mixed Integer Programming (MIP) mathematical formulations. A genetic algorithm is proposed, which includes a procedure for inserting idle times in the production sequence in order to improve the objective value. We also present a benchmark of small and large instances to carry out the computational experiments. After an exhaustive computational and statistical analysis, the conclusion is that the proposed method shows a good performance.

Suggested Citation

  • Eva Vallada & Rubén Ruiz, 2012. "Scheduling Unrelated Parallel Machines with Sequence Dependent Setup Times and Weighted Earliness–Tardiness Minimization," Springer Optimization and Its Applications, in: Roger Z. Ríos-Mercado & Yasmín A. Ríos-Solís (ed.), Just-in-Time Systems, chapter 0, pages 67-90, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-1123-9_4
    DOI: 10.1007/978-1-4614-1123-9_4
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    Citations

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    Cited by:

    1. Adel Kacem & Abdelaziz Dammak, 2021. "Multi-objective scheduling on two dedicated processors," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(3), pages 694-721, October.
    2. Ali Kordmostafapour & Javad Rezaeian & Iraj Mahdavi & Mahdi Yar Farjad, 2022. "Scheduling unrelated parallel machine problem with multi-mode processing times and batch delivery cost," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1438-1470, December.
    3. Arthur Kramer & Anand Subramanian, 2019. "A unified heuristic and an annotated bibliography for a large class of earliness–tardiness scheduling problems," Journal of Scheduling, Springer, vol. 22(1), pages 21-57, February.
    4. Mohammed-Albarra Hassan & Imed Kacem & Sébastien Martin & Izzeldin M. Osman, 2018. "On the m-clique free interval subgraphs polytope: polyhedral analysis and applications," Journal of Combinatorial Optimization, Springer, vol. 36(3), pages 1074-1101, October.

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