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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.22 No.3
- 발행연도
- 2019.1
- 수록면
- 401 - 414 (14page)
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초록· 키워드
오류제보하기
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.
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등록된 정보가 없습니다.
참고문헌 (18)
참고문헌 신청
Colbourn, C. J. / 1987 / The combinatorics of network reliability / Oxford University Press
Gertsbakh, I. / 2011 / Network reliability and resilience / Springer Science and Business Media
Gertsbakh, I.B. / 2016 / Models of network reliability: analysis, combinatorics, and Monte Carlo / CRC press
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
Levitin, G. / 2001 / Reliability evaluation for acyclic consecutively connected networks with multistate elements / Reliability Engineering and System Safety 73(2):137~143
Gertsbakh, I. / 2011 / Network reliability and resilience / Springer Science and Business Media
Gertsbakh, I.B. / 2016 / Models of network reliability: analysis, combinatorics, and Monte Carlo / CRC press
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
Levitin, G. / 2001 / Reliability evaluation for acyclic consecutively connected networks with multistate elements / Reliability Engineering and System Safety 73(2):137~143
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