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Birnbaum and criticality measures of component contribution to the failure of phased missions

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  • Andrews, J.D.

Abstract

This paper develops measures, which identify the contribution to system failure when the system operates a phased mission. The measures developed are the equivalent of Birnbaum's measure of importance and the criticality measure of importance in a conventional analysis. It is assumed that during the mission the system components cannot be repaired. In the determination of the importance measures, the contribution to phase failure is considered in two aspects: failure during the phase (in-phase importance) and failure on transition to a phase (transition importance). Component importance measures indicate the contribution to phase and overall mission unreliability.

Suggested Citation

  • Andrews, J.D., 2008. "Birnbaum and criticality measures of component contribution to the failure of phased missions," Reliability Engineering and System Safety, Elsevier, vol. 93(12), pages 1861-1866.
    • Handle: RePEc:eee:reensy:v:93:y:2008:i:12:p:1861-1866
    DOI: 10.1016/j.ress.2008.03.009
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    Cited by:

    1. Luo, Pengcheng & Hu, Yang, 2013. "System risk evolution analysis and risk critical event identification based on event sequence diagram," Reliability Engineering and System Safety, Elsevier, vol. 114(C), pages 36-44.
    2. Serkan Eryilmaz, 2013. "Component importance for linear consecutive‐ k ‐Out‐of‐ n and m ‐Consecutive‐ k ‐Out‐of‐ n systems with exchangeable components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(4), pages 313-320, June.
    3. Wu, Xin-yang & Wu, Xiao-yue & Balakrishnan, Narayanaswamy, 2018. "Reliability allocation model and algorithm for phased mission systems with uncertain component parameters based on importance measure," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 266-276.
    4. Xing, Liudong & Amari, Suprasad V. & Wang, Chaonan, 2012. "Reliability of k-out-of-n systems with phased-mission requirements and imperfect fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 45-50.

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