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A complete importance ranking for components of binary coherent systems, with extensions to multi‐state systems

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  • David A. Butler

Abstract

Means of measuring and ranking a system's components relative to their importance to the system reliability have been developed by a number of authors. This paper investigates a new ranking that is based upon minimal cuts and compares it with existing definitions. The new ranking is shown to be easily calculated from readily obtainable information and to be most useful for systems composed of highly reliable components. The paper also discusses extensions of importance measures and rankings to systems in which both the system and its components may be in any of a finite number of states. Many of the results about importance measures and rankings for binary systems are shown to extend to the more sophisticated multi‐state systems. Also, the multi‐state importance measures and rankings are shown to be decomposable into a number of sub‐measures and rankings.

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  • David A. Butler, 1979. "A complete importance ranking for components of binary coherent systems, with extensions to multi‐state systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(4), pages 565-578, December.
    • Handle: RePEc:wly:navlog:v:26:y:1979:i:4:p:565-578
    DOI: 10.1002/nav.3800260402
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    Cited by:

    1. Hsun‐Wen Chang & F.K. Hwang, 2002. "Rare‐event component importance for the consecutive‐k system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(2), pages 159-166, March.
    2. Rocco, Claudio M. & Hernandez-Perdomo, Elvis & Mun, Johnathan, 2021. "Application of logic regression to assess the importance of interactions between components in a network," Reliability Engineering and System Safety, Elsevier, vol. 205(C).

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