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 transmission network in which number of nodes are capable of receiving or sending a signal to the target nodes. To model the proposed acyclic transmission network, the present study combined the concepts of Markov process and minimal cuts incorporating copula to find the various reliability measures. The considered network can have four possible states namely operable, partial failure, critical failure and complete failure. The considered network can be repaired in two different ways. When the network is in critical state it is repaired with general repair whereas in complete failure state repaired with the help of two different repair rates namely general and exponential which has been incorporated with the application of 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 have been evaluated with the help of minimal cuts coupling with Markov process using Gumbel-Hougaard copula, supplementary variable technique and Laplace transforms.
Abstract
In the present paper, we have considered acyclic transmission network in which number of nodes are capable of receiving or sending a signal to the target nodes. To model the proposed acyclic transmission network, the present study combined the concepts of Markov process and minimal cuts incorporating copula to find the various reliability measures. The considered network can have four possible states namely operable, partial failure, critical failure and complete failure. The considered network can be repaired in two different ways. When the network is in critical state it is repaired with general repair whereas in complete failure state repaired with the help of two different repair rates namely general and exponential which has been incorporated with the application of 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 have been evaluated with the help of minimal cuts coupling with Markov process using Gumbel-Hougaard copula, supplementary variable technique and Laplace transforms.
참고문헌 (18)
- Colbourn, C.J., "The combinatorics of network reliability" (1987), Oxford University Press, Inc
- Gertsbakh, I., "Network reliability and resilience" (2011), Springer Science & Business Media
- Gertsbakh, I.B., "Models of network reliability: analysis, combinatorics, and Monte Carlo" (2016), CRC press
- Kumar, D., "Reliability Analysis of Embedded System with Different Modes of Failure Emphasizing Reboot Delay", International Journal of Applied Science and Engineering, 11(4), pp.449~470 (2013)
- Levitin, G., "Reliability evaluation for acyclic consecutively connected networks with multistate elements", Reliability Engineering & System Safety, 73(2), pp.137~143 (2001)
- Levitin, G., "Reliability evaluation for acyclic transmission networks of multi-state elements with delays", IEEE Transactions on Reliability, 52(2), pp.231~237 (2003)
- Levitin, G., "The universal generating function in reliability analysis and optimization (Vol. 6)" (2005), Springer
- Malinowski, J., "Reliability evaluation for tree-structured systems with multistate components", Microelectronics Reliability, 36(1), pp.9~17 (1996)
- Munjal, A., "Reliability analysis of a complex repairable system composed of two 2-out-of-3: G subsystems connected in parallel", Journal of reliability and statistical studies, pp.89~111 (2014)
- Nailwal, B., "Performance evaluation and reliability analysis of a complex system with three possibilities in repair with the application of copula", International Journal of Reliability and Applications, 12(1), pp.15~39 (2011)
- Nailwal, B., "Reliability measures and sensitivity analysis of a Complex matrix system including power failure", International Journal of Engineering-Transactions A: Basics, 25(2), pp.115~ (2012)
- Nailwal, B., "Mathematical Concepts and Applications in Mechanical Engineering and Mechatronics", pp.201~ (2016)
- Nelsen, R.B., "An introduction to copulas" (2006), Springer Science Business Media
- Ram, M., "Availability and cost analysis of a parallel redundant complex system with two types of failure under preemptive-resume repair discipline using Gumbel-Hougaard family copula in repair", International Journal of Reliability, Quality and Safety Engineering, 15(04), pp.341~365 (2008)
- Srinivasan, S. K., "Reliability analysis of a three unit warm standby redundant system with repair", Annals of Operations Research, 143(1), pp.227~235 (2006)
- Yeh, W. C., "Multistate-node acyclic networks reliability evaluation based on MC", Reliability Engineering & System Safety, 81(2), pp.225~231 (2003)
- Yeh, W. C., "The k-out-of-n acyclic multistate-node networks reliability evaluation using the universal generating function method", Reliability Engineering & System Safety, 91(7), pp.800~808 (2006)
- Yeh, W. C., "A modified universal generating function algorithm for the acyclic binary-state network reliability", IEEE Transactions on Reliability, 61(3), pp.702~709 (2012)