Rare-event component importance for the consecutive-k system

Rare-event component importance for the consecutive-k system

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Article ID: iaor2003180
Country: United States
Volume: 49
Issue: 2
Start Page Number: 159
End Page Number: 166
Publication Date: Mar 2002
Journal: Naval Research Logistics
Authors: ,
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.

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