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Makespan minimisation with sequence-dependent machine deterioration and maintenance events

Author

Listed:
  • Alex J. Ruiz-Torres
  • Giuseppe Paletta
  • Rym M’Hallah

Abstract

This paper addresses the minimal makespan parallel machine problem where machines are subject to preventive maintenance events of a known deterministic duration. The processing time of a job depends on its predecessors since the machine’s last maintenance. The paper proposes some dominance criteria for sequences of jobs assigned to a machine, and uses these criteria to design constructive heuristics to this NP-hard problem. The computational investigation determines the parameters that make a hard instance and studies the sensitivity of the heuristics to these parameters.

Suggested Citation

  • Alex J. Ruiz-Torres & Giuseppe Paletta & Rym M’Hallah, 2017. "Makespan minimisation with sequence-dependent machine deterioration and maintenance events," International Journal of Production Research, Taylor & Francis Journals, vol. 55(2), pages 462-479, January.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:2:p:462-479
    DOI: 10.1080/00207543.2016.1187776
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    Cited by:

    1. Xia, Tangbin & Dong, Yifan & Xiao, Lei & Du, Shichang & Pan, Ershun & Xi, Lifeng, 2018. "Recent advances in prognostics and health management for advanced manufacturing paradigms," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 255-268.
    2. Allahverdi, Ali & Aydilek, Harun & Aydilek, Asiye, 2018. "No-wait flowshop scheduling problem with two criteria; total tardiness and makespan," European Journal of Operational Research, Elsevier, vol. 269(2), pages 590-601.
    3. Xiufang Zhang & Tangbin Xia & Ershun Pan & Yuqing Li, 2022. "Integrated optimization on production scheduling and imperfect preventive maintenance considering multi-degradation and learning-forgetting effects," Flexible Services and Manufacturing Journal, Springer, vol. 34(2), pages 451-482, June.
    4. Khaled Alhamad & Rym M’Hallah & Cormac Lucas, 2021. "A Mathematical Program for Scheduling Preventive Maintenance of Cogeneration Plants with Production," Mathematics, MDPI, vol. 9(14), pages 1-12, July.
    5. Delorme, Maxence & Iori, Manuel & Mendes, Nilson F.M., 2021. "Solution methods for scheduling problems with sequence-dependent deterioration and maintenance events," European Journal of Operational Research, Elsevier, vol. 295(3), pages 823-837.

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