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Reliability of non-repairable phased-mission systems with propagated failures

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  • Levitin, Gregory
  • Xing, Liudong
  • Amari, Suprasad V.
  • Dai, Yuanshun

Abstract

In this paper, we propose a recursive and exact method for reliability evaluation of phased-mission systems with failures originating from some system elements that can propagate causing the common cause failures of groups of elements. The system consists of multiple, consecutive, non-overlapping phases of operation, and non-identical binary non-repairable elements that can fail individually or due to propagated failures originating from other elements. The overall system can have binary states corresponding to the mission success and failure or multiple states characterized by different levels of system performance. Based on conditional probabilities as well as the branch and bound principle, the proposed method takes into account dynamic changes in system structure and demand across different phases. It also considers time-varying, phase-dependent failure rates and associated cumulative damage effects for the system elements. The main advantage of this method is that it does not require composition of decision diagrams and can be fully automated. Both an analytical example and a numerical example are analyzed to illustrate the proposed method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:119:y:2013:i:c:p:218-228
    DOI: 10.1016/j.ress.2013.06.005
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    References listed on IDEAS

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    1. 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.
    2. A Shrestha & L Xing, 2008. "Improved modular reliability analyses of hybrid phased mission systems," Journal of Risk and Reliability, , vol. 222(4), pages 507-520, December.
    3. Xing, Liudong & Levitin, Gregory, 2013. "BDD-based reliability evaluation of phased-mission systems with internal/external common-cause failures," Reliability Engineering and System Safety, Elsevier, vol. 112(C), pages 145-153.
    4. 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.
    5. Levitin, Gregory & Hausken, Kjell, 2010. "Separation in homogeneous systems with independent identical elements," European Journal of Operational Research, Elsevier, vol. 203(3), pages 625-634, June.
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