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Sensitivity Analysis of a k-out-of-n:F System Characteristics to Shapes of Input Distribution

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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

The problem of sensitivity of a redundant system’s probability characteristics to shapes of the input distributions is considered. In some previous works, closed-form representations have been obtained for stationary characteristics of hot-standby redundant systems with exponential lifetime distribution of their elements and general distribution of their repair time. In the current paper we carry out the sensitivity analysis of a k-out-of\(-n \):F system with the help of a simulation approach. Comparison of analytic and simulation results is presented.

The publication has been prepared with the support of the “RUDN University Program 5–100” (problem setting and simulation model development) and funded by RFBR according to the research projects No. 20-01-00575 (recipient Vladimir Rykov, review and analytic results) and No. 19-29-06043 (recipient Dmitry Kozyrev, formal analysis, validation).

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Authors and Affiliations

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

    V. V. Rykov, N. M. Ivanova & D. V. Kozyrev

  2. Gubkin Russian State Oil and Gas University, 65 Leninsky Prospekt, Moscow, 119991, Russia

    V. V. Rykov

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

    N. M. Ivanova & D. V. Kozyrev

  4. Kharkevich Institute for Information Transmission Problems of Russian Academy of Sciences (IITP RAS), 19, Building 1, B. Karetny Per., Moscow, 127051, Russia

    V. V. Rykov

Authors
  1. V. V. Rykov
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  2. N. M. Ivanova
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  3. D. V. Kozyrev
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Corresponding author

Correspondence to V. V. Rykov .

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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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Rykov, V.V., Ivanova, N.M., Kozyrev, D.V. (2020). Sensitivity Analysis of a k-out-of-n:F System Characteristics to Shapes of Input Distribution. 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_37

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  • DOI: https://doi.org/10.1007/978-3-030-66471-8_37

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  • Online ISBN: 978-3-030-66471-8

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