The influence of the node criticality relation on some measures of component importance

The influence of the node criticality relation on some measures of component importance

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Article ID: iaor20102885
Volume: 36
Issue: 5
Start Page Number: 557
End Page Number: 560
Publication Date: Sep 2008
Journal: Operations Research Letters
Authors: ,
Keywords: networks
Abstract:

For different reliability importance measures we prove that the criticality relation between nodes can completely determine the most important component in a system. In particular, we prove that in k-out-of-n systems, the ranking of component reliabilities determines the ranking of component importance for, at least, three different reliability importance measures.

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