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Unified matrix approach to solve production-maintenance problems on a single machine

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Listed:
  • Finke, Gerd
  • Gara-Ali, Ahmed
  • Espinouse, Marie-Laure
  • Jost, Vincent
  • Moncel, Julien

Abstract

We are presenting a general unified matrix framework for production-maintenance systems on a single machine. We have positional processing times and we propose a very general time dependent weighted maintenance system that includes most of the models from the literature. Several performance criteria are included and we show that a broad class of these problems can be modeled as assignment and rectangular assignment problems so that standard software can be utilized to determine their optimal solutions.

Suggested Citation

  • Finke, Gerd & Gara-Ali, Ahmed & Espinouse, Marie-Laure & Jost, Vincent & Moncel, Julien, 2017. "Unified matrix approach to solve production-maintenance problems on a single machine," Omega, Elsevier, vol. 66(PA), pages 140-146.
    • Handle: RePEc:eee:jomega:v:66:y:2017:i:pa:p:140-146
    DOI: 10.1016/j.omega.2016.02.005
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    References listed on IDEAS

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    1. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Single machine scheduling with general positional deterioration and rate-modifying maintenance," Omega, Elsevier, vol. 40(6), pages 791-804.
    2. Yang, Suh-Jenq & Yang, Dar-Li, 2010. "Minimizing the makespan on single-machine scheduling with aging effect and variable maintenance activities," Omega, Elsevier, vol. 38(6), pages 528-533, December.
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    13. Gara-Ali, Ahmed & Finke, Gerd & Espinouse, Marie-Laure, 2016. "Parallel-machine scheduling with maintenance: Praising the assignment problem," European Journal of Operational Research, Elsevier, vol. 252(1), pages 90-97.
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    Cited by:

    1. Song Jiu, 2021. "A two-phase approach for integrating preventive maintenance with production and delivery in an unreliable coal mine," Journal of Heuristics, Springer, vol. 27(6), pages 991-1020, December.
    2. Xiao, Lei & Zhang, Xinghui & Tang, Junxuan & Zhou, Yaqin, 2020. "Joint optimization of opportunistic maintenance and production scheduling considering batch production mode and varying operational conditions," Reliability Engineering and System Safety, Elsevier, vol. 202(C).

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