Comparing Criticality of Nodes via Minimal Cut (Path) Sets for Coherent Systems
1994 ◽
Vol 8
(1)
◽
pp. 79-87
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Keyword(s):
In 1989, Boland, Proschan, and Tong [2] introduced the notion of criticality ranking among nodes and developed a procedure for obtaining an optimal assignment of components in coherent systems. In this article we obtain characterizations of the criticality ranking in terms of minimal cut (path) sets for coherent systems. Furthermore, utilizing the characterizations, it is shown that the criticality ranking defined by Boland et al. [2] is consistent with the cut-importance ranking introduced by Butler in 1979 [4]. A relationship between the criticality ranking and the well-known and widely used Birnbaum reliability importance measure is also derived.
2011 ◽
Vol 26
(1)
◽
pp. 117-128
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On active redundancy allocation for coherent systems—from the viewpoint of minimal cut decomposition
2018 ◽
Vol 46
(2)
◽
pp. 233-239
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1979 ◽
Vol 26
(4)
◽
pp. 565-578
◽
2013 ◽
Vol 24
(6)
◽
pp. 1029-1037
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1985 ◽
Vol 13
(2)
◽
pp. 93-104
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