Joint reliability-importance of two edges in an undirected network

Author

Hong, Jung Sik ; Lie, Chang Hoon

Author_Institution

Dept. of Ind. Eng., Seoul Nat. Polytech. Univ., South Korea

Volume

42

Issue

1

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

17

Abstract

Joint reliability importance (JRI) of two edges in an undirected network is introduced. Concepts of joint failure importance (JFI) and marginal failure importance (MFI), duals of JRI and marginal reliability importance (MRI), are also introduced. The JRI of two edges in an undirected network is represented by the MRI of each edge in subnetworks. Relationships between JRI and MRI, JRI and JFI, and JFI and MFI are presented. From these relationships, it is shown that the JRI is an appropriate quantitative measure of the interactions of two edges in a network, with respect to source-to-terminal reliability. It can also show that the sign of the JRI of two edges can be determined without computing the JRI of these two edges in some special cases

Keywords

failure analysis; graph theory; reliability theory; edges; joint failure importance; joint reliability importance; marginal failure importance; marginal reliability importance; source-to-terminal reliability; undirected graph; undirected network; Failure analysis; Intelligent networks; Magnetic resonance imaging; Marine vehicles; Reliability theory; Stochastic processes;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.210266

Filename

210266