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A reliability model for a three-state degraded system having random degradation rates

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  • Eryilmaz, Serkan

Abstract

For degraded multi-state systems, it has been assumed in the literature that, for any given system, the instantaneous degradation rates are fixed. This paper attempts to study a three-state degraded system that have random degradation rates among its states. In particular, a reliability model for such a three-state system is presented assuming that the degradation rates are random and statistically dependent. The dependence is modeled by copulas, and dynamic reliability analysis of the system is performed. Graphical illustrations are provided, and comparisons are made with the corresponding results for the classical fixed rates model.

Suggested Citation

  • Eryilmaz, Serkan, 2016. "A reliability model for a three-state degraded system having random degradation rates," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 59-63.
    • Handle: RePEc:eee:reensy:v:156:y:2016:i:c:p:59-63
    DOI: 10.1016/j.ress.2016.07.011
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    References listed on IDEAS

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    1. Eryilmaz, Serkan, 2015. "Dynamic assessment of multi-state systems using phase-type modeling," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 71-77.
    2. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, December.
    3. Faghih-Roohi, Shahrzad & Xie, Min & Ng, Kien Ming & Yam, Richard C.M., 2014. "Dynamic availability assessment and optimal component design of multi-state weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 57-62.
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    Cited by:

    1. Funda Iscioglu & Aysegul Erem, 2021. "Reliability analysis of a multi-state system with identical units having two dependent components," Journal of Risk and Reliability, , vol. 235(2), pages 241-252, April.
    2. Linmin Hu & Rui Peng, 2019. "Reliability modeling for a discrete time multi-state system with random and dependent transition probabilities," Journal of Risk and Reliability, , vol. 233(5), pages 747-760, October.
    3. Li, Yaohan & Dong, You & Guo, Hongyuan, 2023. "Copula-based multivariate renewal model for life-cycle analysis of civil infrastructure considering multiple dependent deterioration processes," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    4. Mengyao Gu & Jiangqin Ge, 2023. "Research on health state assessment and prediction for complex equipment based on the improved FMECA and GM (1,1)," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(1), pages 523-538, March.
    5. Liu, Yu & Liu, Qinzhen & Xie, Chaoyang & Wei, Fayuan, 2019. "Reliability assessment for multi-state systems with state transition dependency," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 276-288.

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