Joint Reliability-Importance of Two Edges in an Undirected Network

Jung Sik Hong, Chang Hoon Lie

Research output: Contribution to journalArticlepeer-review

127 Scopus citations

Abstract

This paper introduces: a) Joint Reliability Importance (JRI) of two edges in an undirected network, and b) concepts of Joint Failure Importance (JFI) and Marginal Failure Importance (MFI), duals of JRI & MRI, respectively,. The JRI of two edges in an undirected network is represented by the Marginal Reliability Importance (MRI) of each edge in subnetworks. Some relationships between JRI & MRI, JRI & JFI, and JFI & MFI are presented. From these relationships, we show that: a) JRI is an appropriate quantitative measure of interactions of two edges in a network w.r.t. Source-to-Terminal Reliability, and b) the sign of JRI of two edges can be determined without computing the JRI of these two edges in some special cases.

Original languageEnglish
Pages (from-to)17-23
Number of pages7
JournalIEEE Transactions on Reliability
Volume42
Issue number1
DOIs
StatePublished - Mar 1993

Keywords

  • Joint failure importance
  • Joint reliability importance
  • Marginal failure importance
  • Marginal reliability importance
  • Undirected network

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