IDEAS home Printed from https://ideas.repec.org/a/sae/risrel/v224y2010i1p43-53.html
   My bibliography  Save this article

Reliability analysis of static and dynamic fault-tolerant systems subject to probabilistic common-cause failures

Author

Listed:
  • L Xing
  • P Boddu
  • Y Sun
  • W Wang

Abstract

Fault-tolerant systems designed with redundancy techniques are typically subject to common-cause failures, which are multiple dependent component failures caused by a shared root cause or a common cause (also known as a shock). There are two types of shocks: fatal and non-fatal. A fatal shock (FS) will fail all components of a system. A non-fatal shock (NFS) will affect only a subset of system components. Most of the existing shock models have assumed that the occurrence of an NFS results in deterministic and simultaneous failures of the affected components. In practice, however, the occurrence of an NFS may result in failures of different components with different probabilities of occurrence. This behaviour is referred to as probabilistic NFS. In this paper, we consider the effects of probabilistic NFS in the reliability analysis of fault-tolerant systems. Both an explicit method and an implicit method are proposed for incorporating probabilistic NFS in the reliability analysis of static systems. A Markov approach combined with the Poisson decomposition law is proposed for incorporating probabilistic NFS in the reliability analysis of dynamic systems. The proposed approaches are illustrated through the analyses of several examples.

Suggested Citation

  • L Xing & P Boddu & Y Sun & W Wang, 2010. "Reliability analysis of static and dynamic fault-tolerant systems subject to probabilistic common-cause failures," Journal of Risk and Reliability, , vol. 224(1), pages 43-53, March.
    • Handle: RePEc:sae:risrel:v:224:y:2010:i:1:p:43-53
    DOI: 10.1243/1748006XJRR260
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1243/1748006XJRR260
    Download Restriction: no
    File URL: https://libkey.io/10.1243/1748006XJRR260?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Vaurio, Jussi K., 2005. "Uncertainties and quantification of common cause failure rates and probabilities for system analyses," Reliability Engineering and System Safety, Elsevier, vol. 90(2), pages 186-195.
    2. Xing, Liudong & Meshkat, Leila & Donohue, Susan K., 2007. "Reliability analysis of hierarchical computer-based systems subject to common-cause failures," Reliability Engineering and System Safety, Elsevier, vol. 92(3), pages 351-359.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wang, Chaonan & Xing, Liudong & Levitin, Gregory, 2015. "Probabilistic common cause failures in phased-mission systems," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 53-60.
    2. Wang, Chaonan & Xing, Liudong & Levitin, Gregory, 2014. "Explicit and implicit methods for probabilistic common-cause failure analysis," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 175-184.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yuchang Mo & Liudong Xing, 2013. "An enhanced decision diagram-based method for common-cause failure analysis," Journal of Risk and Reliability, , vol. 227(5), pages 557-566, October.
    2. Min Zhang & Zhijian Zhang & Ali Mosleh & Sijuan Chen, 2017. "Common cause failure model updating for risk monitoring in nuclear power plants based on alpha factor model," Journal of Risk and Reliability, , vol. 231(3), pages 209-220, June.
    3. Gianpaolo Di Bona & Antonio Forcina & Domenico Falcone & Luca Silvestri, 2020. "Critical Risks Method (CRM): A New Safety Allocation Approach for a Critical Infrastructure," Sustainability, MDPI, vol. 12(12), pages 1-19, June.
    4. Fan, Mengfei & Zeng, Zhiguo & Zio, Enrico & Kang, Rui & Chen, Ying, 2018. "A stochastic hybrid systems model of common-cause failures of degrading components," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 159-170.
    5. Abou, Seraphin C., 2010. "Performance assessment of multi-state systems with critical failure modes: Application to the flotation metallic arsenic circuit," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 614-622.
    6. Fiondella, Lance & Xing, Liudong, 2015. "Discrete and continuous reliability models for systems with identically distributed correlated components," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 1-10.
    7. Hoepfer, V.M. & Saleh, J.H. & Marais, K.B., 2009. "On the value of redundancy subject to common-cause failures: Toward the resolution of an on-going debate," Reliability Engineering and System Safety, Elsevier, vol. 94(12), pages 1904-1916.
    8. Wang, Chaonan & Xing, Liudong & Levitin, Gregory, 2015. "Probabilistic common cause failures in phased-mission systems," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 53-60.
    9. Wang, Chaonan & Xing, Liudong & Levitin, Gregory, 2014. "Explicit and implicit methods for probabilistic common-cause failure analysis," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 175-184.
    10. Cui, Lirong & Li, Haijun, 2007. "Analytical method for reliability and MTTF assessment of coherent systems with dependent components," Reliability Engineering and System Safety, Elsevier, vol. 92(3), pages 300-307.
    11. KanÄ ev, DuÅ¡ko & ÄŒepin, Marko, 2012. "A new method for explicit modelling of single failure event within different common cause failure groups," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 84-93.
    12. Levitin, Gregory & Xing, Liudong & Amari, Suprasad V. & Dai, Yuanshun, 2013. "Reliability of non-repairable phased-mission systems with propagated failures," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 218-228.
    13. Zhang, Chao & Xu, Xin & Dui, Hongyan, 2020. "Analysis of network cascading failure based on the cluster aggregation in cyber-physical systems," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    14. Quigley, John & Walls, Lesley, 2011. "Mixing Bayes and empirical Bayes inference to anticipate the realization of engineering concerns about variant system designs," Reliability Engineering and System Safety, Elsevier, vol. 96(8), pages 933-941.
    15. Zhou, Taotao & Droguett, Enrique López & Modarres, Mohammad, 2020. "A common cause failure model for components under age-related degradation," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    16. Xing, Liudong & Meshkat, Leila & Donohue, Susan K., 2007. "Reliability analysis of hierarchical computer-based systems subject to common-cause failures," Reliability Engineering and System Safety, Elsevier, vol. 92(3), pages 351-359.
    17. Taghipour, Sharareh & Banjevic, Dragan & Jardine, Andrew K.S., 2010. "Periodic inspection optimization model for a complex repairable system," Reliability Engineering and System Safety, Elsevier, vol. 95(9), pages 944-952.
    18. Soga, Shota & Higo, Eishiro & Miura, Hiromichi, 2021. "A systematic approach to estimate an inter-unit common-cause failure probability," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    19. Cheng, Chen & Yang, Jun & Li, Lei, 2021. "Reliability evaluation of a k-out-of-n(G)-subsystem based multi-state phased mission system with common bus performance sharing subjected to common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    20. Quigley, John & Bedford, Tim & Walls, Lesley, 2007. "Estimating rate of occurrence of rare events with empirical bayes: A railway application," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 619-627.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:risrel:v:224:y:2010:i:1:p:43-53. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.