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Optimal preventive maintenance for systems having a continuous output and operating in a random environment

Author

Listed:
  • Ji Hwan Cha

    (Ewha Womans University)

  • Maxim Finkelstein

    (University of the Free State 339
    ITMO University)

Abstract

We consider systems that are operating in a random environment modeled by an external shock process. Performance of a system is characterized by a quality (output) function that is decreasing (due to degradation) in the absence of shocks. Shocks have a double impact, i.e., they affect the failure rate of a system directly and at the same time, and each shock contributes to the additional decrease in the quality function. The unconditional and conditional (on survival) expectations for the corresponding stochastic quality process are obtained. The system is replaced either on failure or on the predetermined replacement time, whichever comes first. The corresponding optimization problem is considered and illustrated by detailed numerical examples.

Suggested Citation

  • Ji Hwan Cha & Maxim Finkelstein, 2019. "Optimal preventive maintenance for systems having a continuous output and operating in a random environment," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(2), pages 327-350, July.
    • Handle: RePEc:spr:topjnl:v:27:y:2019:i:2:d:10.1007_s11750-019-00508-2
    DOI: 10.1007/s11750-019-00508-2
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    References listed on IDEAS

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    1. Alberti, Alexandre R. & Cavalcante, Cristiano A.V., 2020. "A two-scale maintenance policy for protection systems subject to shocks when meeting demands," Reliability Engineering and System Safety, Elsevier, vol. 204(C).

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