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Reliability performance for dynamic systems with cycles of regimes

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  • Jingyuan Shen
  • Lirong Cui

Abstract

The environment in which a system operates can have a crucial impact on its performance; for example, a machine operating in mild or harsh environments or the flow of a river changing between seasons. In this article, we consider a dynamic reliability system operating under a cycle of K regimes, which is modeled as a continuous-time Markov process with K different transition rate matrices being used to describe the various regimes. Results for the availability of such a system and probability distributions of the first uptime are given. Three special cases, which occur due to situations where the durations of the regime are constant and where the number of up states in different regimes are identical or increasing, are considered in detail. Finally, some numerical examples are shown to validate the proposed approach.

Suggested Citation

  • Jingyuan Shen & Lirong Cui, 2016. "Reliability performance for dynamic systems with cycles of regimes," IISE Transactions, Taylor & Francis Journals, vol. 48(4), pages 389-402, April.
    • Handle: RePEc:taf:uiiexx:v:48:y:2016:i:4:p:389-402
    DOI: 10.1080/0740817X.2015.1110266
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    Cited by:

    1. Cui, Lirong & Wu, Bei, 2019. "Extended Phase-type models for multistate competing risk systems," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 1-16.
    2. Ji Hwan Cha & Maxim Finkelstein, 2019. "On some characteristics of quality for systems operating in a random environment," Journal of Risk and Reliability, , vol. 233(2), pages 257-267, April.
    3. Yi, He & Cui, Lirong, 2017. "Distribution and availability for aggregated second-order semi-Markov ternary system with working time omission," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 50-60.
    4. Zhang, Fengxia & Liao, Haitao & Shen, Jingyuan & Ma, Yizhong, 2024. "Optimal maintenance over a finite time horizon for a system under imperfect inspection and dynamic working environment," Reliability Engineering and System Safety, Elsevier, vol. 246(C).
    5. Jingyuan Shen & Alaa Elwany & Lirong Cui, 2018. "Reliability modeling for systems degrading in K cyclical regimes based on gamma processes," Journal of Risk and Reliability, , vol. 232(6), pages 754-765, December.
    6. Shen, Jingyuan & Cui, Lirong & Ma, Yizhong, 2019. "Availability and optimal maintenance policy for systems degrading in dynamic environments," European Journal of Operational Research, Elsevier, vol. 276(1), pages 133-143.
    7. Cui, Lirong & Chen, Jianhui & Wu, Bei, 2017. "New interval availability indexes for Markov repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 12-17.

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