On Reliability Function of a Parallel System with Three Renewable Components
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Considered system consists of three renewable components that are connected in parallel. The components are described by continuous time independent alternating processes. The sojourn times in the operative state for all components have exponential distributions. The sojourn times in the failed state have arbitrary absolute continuous distributions. All sojourn times are independent. The system is working at time t if at least one component is working. We consider a problem of computation of system reliability on given time interval for the known initial states of the components. Non-stationary and stationary regimes are considered.
KeywordsAlternating processes Recurrent event Renewal equation System reliability
The publication was prepared with the support of the “RUDN University Program 5–100”, and was financially supported by the Russian Foundation for Basic Research according to the research projects Nos. 17-07-00142 and 17-01-00633.
- 5.Efrosinin, D., Rykov, V.: Sensitivity analysis of reliability characteristics to the shape of the life and repair time distributions. In: Dudin, A., Nazarov, A., Yakupov, R., Gortsev, A. (eds.) ITMM 2014. CCIS, vol. 487, pp. 101–112. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-13671-4_13 Google Scholar
- 7.Andronov, A.M., Vishnevsky, V.M.: Algorithm of state stationary probability computing for continuous-time finite Markov chain modulated by semi-Markov process. In: Vishnevsky, V., Kozyrev, D. (eds.) DCCN 2015. CCIS, vol. 601, pp. 167–176. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-30843-2_18 CrossRefGoogle Scholar