Abstract
Considered system consists of two renewable channels that connected in parallel. The system operates in a random environment having k states. The functioning of both components are described by two continuous time alternating processes. The sojourn time in the state 0 (work state) of both channels has exponential distribution with parameters \(\mu _{1,i}\) and \(\mu _{2,i}\) if the random environment has state i. The sojourn times in the state 1 (failed state) have general absolute continuous distributions. These sojourn times are independent and doesn’t depend on the random environment state too. The system is working at time t if at least one channel is working. The system reliability on given time interval is calculated for the known initial states of the components.
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Andronov, A.M., Vishnevsky, V.M. (2018). Reliability of Two Communication Channels in a Random Environment. In: Vishnevskiy, V., Kozyrev, D. (eds) Distributed Computer and Communication Networks. DCCN 2018. Communications in Computer and Information Science, vol 919. Springer, Cham. https://doi.org/10.1007/978-3-319-99447-5_49
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