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Reliability modeling for systems degrading in K cyclical regimes based on gamma processes

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  • Jingyuan Shen
  • Alaa Elwany
  • Lirong Cui

Abstract

Regime switching models represent an important research direction in reliability engineering and degradation modeling. In practice, complex engineering systems typically operate under variable environmental conditions or mission requirements, each having distinct influence of system degradation. In this article, we study a system deteriorating in K cyclical regimes, where the degradation behavior of the system during each regime is governed by a distinct gamma process. We first derive the cumulative distribution function of the first passage time under this setting. Next, we determine system availability when maintenance actions are taken into consideration under the scenario where regime switching only takes place during the system uptime. Finally, we give some numerical examples to demonstrate and validate the proposed framework.

Suggested Citation

  • 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.
    • Handle: RePEc:sae:risrel:v:232:y:2018:i:6:p:754-765
    DOI: 10.1177/1748006X18758798
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    1. Zhang, Jian-Xun & Hu, Chang-Hua & He, Xiao & Si, Xiao-Sheng & Liu, Yang & Zhou, Dong-Hua, 2017. "Lifetime prognostics for deteriorating systems with time-varying random jumps," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 338-350.
    2. 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.
    3. Caballé, N.C. & Castro, I.T. & Pérez, C.J. & Lanza-Gutiérrez, J.M., 2015. "A condition-based maintenance of a dependent degradation-threshold-shock model in a system with multiple degradation processes," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 98-109.
    4. 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.
    5. Alan Hawkes & Lirong Cui & Zhihua Zheng, 2011. "Modeling the evolution of system reliability performance under alternative environments," IISE Transactions, Taylor & Francis Journals, vol. 43(11), pages 761-772.
    6. D. P. Gaver, 1966. "Observing Stochastic Processes, and Approximate Transform Inversion," Operations Research, INFORMS, vol. 14(3), pages 444-459, June.
    7. Saassouh, B. & Dieulle, L. & Grall, A., 2007. "Online maintenance policy for a deteriorating system with random change of mode," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1677-1685.
    8. Zhao, Xian & Guo, Xiaoxin & Wang, Xiaoyue, 2018. "Reliability and maintenance policies for a two-stage shock model with self-healing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 185-194.
    9. Alain Bensoussan & SingRu Hoe & ZhongFeng Yan & George Yin, 2017. "Real Options With Competition And Regime Switching," Mathematical Finance, Wiley Blackwell, vol. 27(1), pages 224-250, January.
    10. Cavicchioli, Maddalena, 2017. "Higher Order Moments Of Markov Switching Varma Models," Econometric Theory, Cambridge University Press, vol. 33(6), pages 1502-1515, December.
    11. Ponchet, Amélie & Fouladirad, Mitra & Grall, Antoine, 2010. "Assessment of a maintenance model for a multi-deteriorating mode system," Reliability Engineering and System Safety, Elsevier, vol. 95(11), pages 1244-1254.
    12. Jingyuan Shen & Lirong Cui, 2017. "Reliability performance for dynamic multi-state repairable systems with regimes," IISE Transactions, Taylor & Francis Journals, vol. 49(9), pages 911-926, September.
    13. Bae, Geum Il & Kim, Woo Chang & Mulvey, John M., 2014. "Dynamic asset allocation for varied financial markets under regime switching framework," European Journal of Operational Research, Elsevier, vol. 234(2), pages 450-458.
    14. van Noortwijk, J.M., 2009. "A survey of the application of gamma processes in maintenance," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 2-21.
    15. Chih-chun Tsai & Chien-tai Lin, 2014. "Optimal Selection of the Most Reliable Design Based on Gamma Degradation Processes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(10-12), pages 2419-2428, May.
    16. Kong, Yaonan & Ye, Zhisheng, 2017. "Goodness-of-fit tests in the multi-state Markov model," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 16-24.
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    Cited by:

    1. 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.

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