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Optimal preventive maintenance of coherent systems: A generalized Pólya process approach

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  • Marzieh Hashemi
  • Majid Asadi

Abstract

We propose optimal preventive maintenance strategies for n-component coherent systems. We assume that in the early time of the system operation all failed components are repaired, such that the state of a failed component gets back to a working state, worse than that of prior to failure. To model this repair action, we utilize a counting process on the interval (0,τ], known as the generalized Pólya process (which subsumes the non-homogeneous Poisson process as a special case). Two generalized Pólya process-based repair strategies are proposed. The criteria to be optimized are the cost function formulated based on the repair costs of the components/system, and the system availability, to obtain the optimal time of preventive maintenance of the system. To illustrate the theoretical results, two coherent systems are studied for which the optimal preventive maintenance times are explored under different conditions.

Suggested Citation

  • Marzieh Hashemi & Majid Asadi, 2021. "Optimal preventive maintenance of coherent systems: A generalized Pólya process approach," IISE Transactions, Taylor & Francis Journals, vol. 53(11), pages 1266-1280, November.
    • Handle: RePEc:taf:uiiexx:v:53:y:2021:i:11:p:1266-1280
    DOI: 10.1080/24725854.2020.1831712
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    Cited by:

    1. Asadi, Majid, 2023. "On a parametric model for the mean number of system repairs with applications," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    2. Liu, Peng & Wang, Guanjun, 2022. "Minimal repair models with non-negligible repair time," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    3. Somayeh Ashrafi & Majid Asadi & Razieh Rostami, 2024. "On preventive maintenance of k-out-of-n systems subject to fatal shocks," Journal of Risk and Reliability, , vol. 238(2), pages 291-303, April.
    4. Tavangar, Mahdi & Hashemi, Marzieh, 2022. "Reliability and maintenance analysis of coherent systems subject to aging and environmental shocks," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).

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