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Approximation algorithm for evaluating time-to-failure distribution of k-out-of-n system with shared standby elements

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  • Levitin, Gregory
  • Amari, Suprasad V.

Abstract

The paper presents an approximation algorithm for evaluating cdf of time-to-failure for k-out-of-n systems with shared spare elements. The working and spare elements can have different arbitrary distributions of time-to-failure. Different spare elements can be in different standby modes: cold, hot and warm. The algorithm is based on a universal generating function approach. It is shown that for small k the algorithm outperforms simulation.

Suggested Citation

  • Levitin, Gregory & Amari, Suprasad V., 2010. "Approximation algorithm for evaluating time-to-failure distribution of k-out-of-n system with shared standby elements," Reliability Engineering and System Safety, Elsevier, vol. 95(4), pages 396-401.
    • Handle: RePEc:eee:reensy:v:95:y:2010:i:4:p:396-401
    DOI: 10.1016/j.ress.2009.11.010
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    References listed on IDEAS

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    1. Azaron, Amir & Katagiri, Hideki & Sakawa, Masatoshi & Modarres, Mohammad, 2005. "Reliability function of a class of time-dependent systems with standby redundancy," European Journal of Operational Research, Elsevier, vol. 164(2), pages 378-386, July.
    2. Papageorgiou, Effie & Kokolakis, George, 2007. "A two-unit general parallel system with (n - 2) cold standbys--Analytic and simulation approach," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1016-1032, January.
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    Cited by:

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    2. Zhou, Yifan & Zhang, Zhisheng & Lin, Tian Ran & Ma, Lin, 2013. "Maintenance optimisation of a multi-state series–parallel system considering economic dependence and state-dependent inspection intervals," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 248-259.
    3. Wu, Hui & Li, Yan-Fu & Bérenguer, Christophe, 2020. "Optimal inspection and maintenance for a repairable k-out-of-n: G warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    4. Jia, Heping & Peng, Rui & Yang, Li & Wu, Tianyi & Liu, Dunnan & Li, Yanbin, 2022. "Reliability evaluation of demand-based warm standby systems with capacity storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    5. Gao, Shan & Wang, Jinting, 2021. "Reliability and availability analysis of a retrial system with mixed standbys and an unreliable repair facility," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    6. Min Gong & Hanlin Liu & Rui Peng, 2020. "Redundancy allocation of mixed warm and cold standby components in repairable K-out-of-N systems," Journal of Risk and Reliability, , vol. 234(5), pages 696-707, October.
    7. Wang, Chaonan & Xing, Liudong & Amari, Suprasad V., 2012. "A fast approximation method for reliability analysis of cold-standby systems," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 119-126.
    8. Yu, Xiaoyun & Hu, Linmin & Ma, Mengrao, 2023. "Reliability measures of discrete time k-out-of-n: G retrial systems based on Bernoulli shocks," Reliability Engineering and System Safety, Elsevier, vol. 239(C).

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