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A Simulation Approach to Reliability Assessment of a Redundant System with Arbitrary Input Distributions

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Distributed Computer and Communication Networks (DCCN 2020)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 12563))

Abstract

With the rapid development and spread of computer networks and information technologies, researchers are faced with new complex challenges of both applied and theoretical nature in investigating the reliability and availability of communication networks and data transmission systems. In the current paper, we perform the system-level reliability analysis for a redundant system with arbitrary distributions of uptime and repair time of its elements using a simulation approach. Also, we obtained the values of the relative recovery speed at which the desired level of reliability is achieved, presented dependency plots of the probability of system uptime and plots of the uniform difference of the obtained simulation results against the relative speed of recovery; also plots of the empirical distribution function \(F^*(x)\) and reliability function \(R^*(x)\) relative to the reliability assessment. Software implementation of simulation algorithms was carried out on the basis of the R language.

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Acknowledgments

The publication has been prepared with the support of the “RUDN University Program 5-100” and funded by RFBR according to the research projects No. 20-37-90137 (recipient Dmitry Kozyrev, formal analysis, validation, and recipient H.G.K. Houankpo, methodology and numerical analysis) and 19-29-06043 (recipient Dmitry Kozyrev and Dmitry Aminev).

Author information

Authors and Affiliations

  1. Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russia

    H. G. K. Houankpo, D. V. Kozyrev, E. Nibasumba, M. N. B. Mouale & I. A. Sergeeva

  2. V. A. Trapeznikov Institute of Control Sciences of RAS, 65 Profsoyuznaya Street, Moscow, 117997, Russia

    D. V. Kozyrev

Authors
  1. H. G. K. Houankpo
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  2. D. V. Kozyrev
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  3. E. Nibasumba
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  4. M. N. B. Mouale
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  5. I. A. Sergeeva
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Corresponding author

Correspondence to D. V. Kozyrev .

Editor information

Editors and Affiliations

  1. Institute of Control Sciences of the Russian Academy of Sciences, Moscow, Russia

    Vladimir M. Vishnevskiy

  2. RUDN University, Moscow, Russia

    Konstantin E. Samouylov

  3. Institute of Control Sciences of the Russian Academy of Sciences, Moscow, Russia

    Dmitry V. Kozyrev

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Houankpo, H.G.K., Kozyrev, D.V., Nibasumba, E., Mouale, M.N.B., Sergeeva, I.A. (2020). A Simulation Approach to Reliability Assessment of a Redundant System with Arbitrary Input Distributions. In: Vishnevskiy, V.M., Samouylov, K.E., Kozyrev, D.V. (eds) Distributed Computer and Communication Networks. DCCN 2020. Lecture Notes in Computer Science(), vol 12563. Springer, Cham. https://doi.org/10.1007/978-3-030-66471-8_29

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  • DOI: https://doi.org/10.1007/978-3-030-66471-8_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-66470-1

  • Online ISBN: 978-3-030-66471-8

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