A counter-intuitive aspect of component importance in linear consecutive-jt-out-of-n systems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

7 Scopus Citations
View graph of relations

Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)147-154
Journal / PublicationIIE Transactions (Institute of Industrial Engineers)
Volume24
Issue number5
Publication statusPublished - Nov 1992
Externally publishedYes

Abstract

In this paper we study a certain counter-intuitive aspect of component importance in linear consecutive-k-out-of-n systems, when the components are independent with equal reliability p. It is shown that, in the case of the Birnbaum measure, the importance of the ifc-th component is greater than that of the (k+ l)-st when 2k+1 ≤ n ≤ 3k+1 for any p on [0,1] or when n > 3k+1 for p and k such that (1 —pk)k≥ 1 —p. The same pertains in the case of the Barlow-Proschan measure when 2k+1 ≤ n ≤ 3k+1 or when n is sufficiently large. © 1992 Taylor & Francis Group, LLC.