Signature reliability of binary state node in complex bridge networks using universal generating function

Abstract

Purpose The purpose of this paper is to evaluate various reliability measures like reliability, expected lifetime (mean time to failure), signature reliability and compare networks based on the different flows. Design/methodology/approach The reliability characteristics of complex bridge networks have been evaluated using different algorithms with the help of universal generating function (UGF). Further, the signature reliability of the considered networks has been determined using Owen’s method. Findings The present paper proposes an efficient algorithm to compute the reliability indices of complex bridge networks having i.i.d. lifetime components (nodes, edges) with the help of UGF and Owen’s method. This study reveals that a slight change in the complex bridge network affects the reliability significantly. Finally, by the reliability structure function, proposed algorithms are used to find the signature and MTTF. From signature, we have determined the different failure probabilities corresponding to edges of the network. Originality/value In this work, we have evaluated reliability characteristics and signature reliability of the complex bridge networks using UGF method and Owen’s method respectively unlike done in the past.

A literature review on network reliability analysis and its engineering applications

“…Majority of the algorithms presented in the literature consider binary states of node and edges that is, either perfectly functioning or completely failed. 10,12,39,54,71 This assumption is generally made for ease of calculation. However, this makes the reliability computation inaccurate as the pattern of failure seldom follows binary state failure.…”

“…Levitin 70 evaluated the reliability of acyclic connected networks using UGF. Bisht and Soni 71 applied UGF to calculate signature reliability for a complex bridge network with binary states of nodes. UGF results hold good for both binary node and multi state node networks.…”

Reliability of integrated electricity and gas supply system with performance substitution and sharing mechanisms

“…In addition, the UGF is more flexible and convenient for modeling reliability of multi-state systems. For instance, Bao et al (2019) considered the reliability assessment of integrated gas and power systems, Bisht and Singh (2019) conducted reliability analysis in complex bridge networks, and Gao et al (2020) analyzed a reconfigurable manufacturing system based on the UGF method. However, none of the above works evaluated the reliability of a mixed energy supply system with two performance transmission mechanisms.…”

Analysis of Network Reliability Characteristics and Importance of Components in a Communication Network

“…Huang et al [18] investigated a multi-state distributed network, which contains computers, the internet of things, edge servers, and cloud servers for data transmission, and also developed an algorithm to find the network reliability. Bisht and Singh [19] examined reliability measures like the reliability and MTTF of complex bridge networks from UGF, and provided a comparative study based on network flow. Huang et al [20] developed an algorithm based on the decomposition approach to evaluate the exact project reliability for a multi-state project network.…”