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Importance measures for two semi-coherent systems with shared components

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  • Yi, He
  • Balakrishnan, Narayanaswamy

Abstract

Importance measures are widely used for single components or pairs/groups of components in single reliability systems for evaluating their importance in the systems. In this paper, two semi-coherent systems with shared components are considered, and then the B-reliability importance and B-TDL (time-dependent-lifetime) importance measures are proposed for evaluating the importance of the shared components in both systems. Signature-based representations are presented next for facilitating the computation of the two proposed importance measures. The results established here are finally illustrated with some numerical examples involving consecutive-k systems with shared components. Applications of the results can be widely found for many practical systems in the field of reliability.

Suggested Citation

  • Yi, He & Balakrishnan, Narayanaswamy, 2024. "Importance measures for two semi-coherent systems with shared components," Reliability Engineering and System Safety, Elsevier, vol. 250(C).
    • Handle: RePEc:eee:reensy:v:250:y:2024:i:c:s0951832024003788
    DOI: 10.1016/j.ress.2024.110306
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