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Reliability analysis of acyclic transmission network based on minimal cuts using copula in repair
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논문 기본 정보

Type
Academic journal
Author
Soni Bisht (G.B. Pant University of Agriculture and Technology) Do Young Pyun (러프버러대학교) Juhae Baeck (중앙대학교)
Journal
Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.22 No.3
Published
2019.1
Pages
401 - 414 (14page)

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Reliability analysis of acyclic transmission network based on minimal cuts using copula in repair
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Abstract· Keywords

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In the present paper, we have considered acyclic transmis- sion network in which number of nodes are capable of receiving or send- ing a signal to the target nodes. To model the proposed acyclic trans- mission network, the present study combined the concepts of Markov processes and minimal cuts incorporating copula to nd the various re- liability measures. The considered network can have four possible states namely operable, partial failure, critical failure and complete failure. The proposed network can be repaired in two di erent ways. When the network is in critical state it is repaired with general repair, whereas, in complete failure state it is repaired with the help of two di erent repair rates, namely, general and exponential. The general and expo- nential distributions have been incorporated with the application of the Gumbel-Hougaard family of copula. Various reliability characteristics such as transition state probabilities, asymptotic behavior, reliability, mean time to failure and sensitivity of the proposed network has been evaluated with the help of minimal cuts coupling with Markov processes using GumbelHougaard copula, supplementary variable techniques and Laplace transforms.
#Network reliability #Acyclic transmission network #Mean time to failure #Sensitivity #Supplementary variable techniques #Gumbel- Hougaard family of copula

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References (18)

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Colbourn, C. J. / 1987 / The combinatorics of network reliability / Oxford University Press google schola Gertsbakh, I. / 2011 / Network reliability and resilience / Springer Science and Business Media google schola Gertsbakh, I.B. / 2016 / Models of network reliability: analysis, combinatorics, and Monte Carlo / CRC press google schola Kumar, D. / 2013 / Reliability Analysis of Embedded System with Dif-ferent Modes of Failure Emphasizing Reboot Delay / International Journal of Applied Science and Engineering 11(4):449~470 google schola Levitin, G. / 2001 / Reliability evaluation for acyclic consecutively connected networks with multistate elements / Reliability Engineering and System Safety 73(2):137~143 google schola

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