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Rare‐event component importance for the consecutive‐k system

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  • Hsun‐Wen Chang
  • F.K. Hwang

Abstract

Various indices of component importance with respect to system reliability have been proposed. The most popular one is the Birnbaum importance. In particular, a special case called uniform Birnbaum importance in which all components have the same reliability p has been widely studied for the consecutive‐k system. Since it is not easy to compare uniform Birnbaum importance, the literature has looked into the case p = ½, p → 1, or p ≥ ½. In this paper, we look into the case p → 0 to complete the spectrum of examining Birnbaum importance over the whole range of p. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 159–166, 2002; DOI 10.1002/nav.10001

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  • 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.
    • Handle: RePEc:wly:navres:v:49:y:2002:i:2:p:159-166
    DOI: 10.1002/nav.10001
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    1. Philip J. Boland & Frank Proschan & Y. L. Tong, 1989. "Optimal arrangement of components via pairwise rearrangements," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(6), pages 807-815, December.
    2. Alven H.S. Lam, 2000. "Republic of China (Taiwan)," American Journal of Economics and Sociology, Wiley Blackwell, vol. 59(5), pages 327-336, November.
    3. 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.
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