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Unavailability equations for k-out-of-n systems

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  • Vaurio, Jussi K.

Abstract

This paper updates and extends earlier published analytical results for the unavailabilities (probabilities of failure on random demand) of redundant standby systems with k-out-of-n logic. Such systems are mostly used in safety and protection systems and are subject to latent and detectable failures. Latent failures are detected by periodic tests and repaired immediately after discovery. Many potential failure and error modes are included in the formalism. Interesting relations between two approaches are pointed out. Both consecutive and staggered testing schemes are evaluated, and methods for including certain common cause failures in the analyses are pointed out.

Suggested Citation

  • Vaurio, Jussi K., 2011. "Unavailability equations for k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 96(2), pages 350-352.
    • Handle: RePEc:eee:reensy:v:96:y:2011:i:2:p:350-352
    DOI: 10.1016/j.ress.2010.08.004
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    References listed on IDEAS

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    1. Oliveira, Luiz Fernando & Abramovitch, Rafael Nelson, 2010. "Extension of ISA TR84.00.02 PFD equations to KooN architectures," Reliability Engineering and System Safety, Elsevier, vol. 95(7), pages 707-715.
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    Cited by:

    1. Ding, Long & Wang, Hong & Jiang, Jin & Xu, Aidong, 2017. "SIL verification for SRS with diverse redundancy based on system degradation using reliability block diagram," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 170-187.
    2. Gabriel, Angelito & Ozansoy, Cagil & Shi, Juan, 2018. "Developments in SIL determination and calculation," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 148-161.
    3. Mo, Yuchang & Xing, Liudong & Amari, Suprasad V. & Bechta Dugan, Joanne, 2015. "Efficient analysis of multi-state k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 95-105.
    4. Aboalkhair, Ahmad M. & Coolen, Frank P.A. & MacPhee, Iain M., 2014. "Nonparametric predictive inference for reliability of a k-out-of-m:G system with multiple component types," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 298-304.

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