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Rare‐event component importance for the consecutive‐ k system
Author(s) -
Chang HsunWen,
Hwang F.K.
Publication year - 2002
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.10001
Subject(s) - reliability (semiconductor) , component (thermodynamics) , event (particle physics) , range (aeronautics) , computer science , mathematics , statistics , econometrics , engineering , physics , power (physics) , quantum mechanics , thermodynamics , aerospace engineering
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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