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Reliability Model of a Homogeneous Warm-Standby Data Transmission System with General Repair Time Distribution

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Distributed Computer and Communication Networks (DCCN 2019)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 11965))

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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Authors and Affiliations

  1. Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation

    H. G. K. Houankpo & Dmitry Kozyrev

  2. V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65, Profsoyuznaya Street, Moscow, 117997, Russian Federation

    Dmitry Kozyrev

Authors
  1. H. G. K. Houankpo
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  2. Dmitry Kozyrev
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Correspondence to Dmitry Kozyrev .

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Editors and Affiliations

  1. V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

    Vladimir M. Vishnevskiy

  2. Peoples' Friendship University of Russia, Moscow, Russia

    Konstantin E. Samouylov

  3. V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

    Dmitry V. Kozyrev

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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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  • DOI: https://doi.org/10.1007/978-3-030-36614-8_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-36613-1

  • Online ISBN: 978-3-030-36614-8

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