Reliability analysis of acyclic transmission network based on minimal cuts using copula in repair
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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.
Abstract
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.
참고문헌 (18)
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