Abstract
We consider a mathematical model of a repairable data transmission system as a model of a closed homogeneous system \(\langle M_2/GI/1 \rangle \) of two elements in a warm-standby with an exponential distribution function of the time to failure, and with an arbitrary distribution function of the repair time of its elements with one restoring element. Explicit analytical expressions for the stationary probability distribution of the system states and for the stationary failure probability of the system are obtained. Comparison of the reliability of a cold-standby system with hot-standby system through a warm-standby model is performed. A simulation model for the most reliable cold-standby case is developed.
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Acknowledgments
The publication has been prepared with the support of the “RUDN University Program 5–100” (D.V.Kozyrev, mathematical model development, H.G.K. Houankpo, simulation model development). The reported study was funded by RFBR, project number 17-07-00142 (recipient D.V.Kozyrev, numerical analysis).
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Houankpo, H.G.K., Kozyrev, D. (2019). Reliability Model of a Homogeneous Warm-Standby Data Transmission System with General Repair Time Distribution. In: Vishnevskiy, V., Samouylov, K., Kozyrev, D. (eds) Distributed Computer and Communication Networks. DCCN 2019. Lecture Notes in Computer Science(), vol 11965. Springer, Cham. https://doi.org/10.1007/978-3-030-36614-8_34
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