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

Soni Bisht, Akshay Kumar, Nupur Goyal, Mangey Ram and Yury Klochkov
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Soni Bisht: Department of Mathematics, Eternal University, Baru Sahib, Himachal Pradesh 173001, India
Akshay Kumar: Department of Mathematics, Graphic Era Hill University, Dehradun 248002, India
Nupur Goyal: Department of Mathematics, Graphic Era Deemed to be University, Dehradun 248002, India
Mangey Ram: Department of Mathematics, Computer Science and Engineering, Graphic Era Deemed to Be University, Dehradun 248002, India
Yury Klochkov: Academic Development Management, Peter the Great St. Petersburg Polytechnic University, 195251 Saint Petersburg, Russia

Mathematics, 2021, vol. 9, issue 12, 1-13

Abstract: Network reliability is one of the most important concepts in this modern era. Reliability characteristics, component significance measures, such as the Birnbaum importance measure, critical importance measure, the risk growth factor and average risk growth factor, and network reliability stability of the communication network system have been discussed in this paper to identify the critical components in the network, and also to quantify the impact of component failures. The study also proposes an efficient algorithm to compute the reliability indices of the network. The authors explore how the universal generating function can work to solve the problems related to the network using the exponentially distributed failure rate. To illustrate the proposed algorithm, a numerical example has been taken.

Keywords: network reliability; exponential distribution; critical components; Birnbaum importance measure; universal generating function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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