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On Reliability Function of a Parallel System with Three Renewable Components

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Analytical and Computational Methods in Probability Theory (ACMPT 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10684))

Abstract

Considered system consists of three renewable components that are connected in parallel. The components are described by continuous time independent alternating processes. The sojourn times in the operative state for all components have exponential distributions. The sojourn times in the failed state have arbitrary absolute continuous distributions. All sojourn times are independent. The system is working at time t if at least one component is working. We consider a problem of computation of system reliability on given time interval for the known initial states of the components. Non-stationary and stationary regimes are considered.

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Acknowledgments

The publication was prepared with the support of the “RUDN University Program 5–100”, and was financially supported by the Russian Foundation for Basic Research according to the research projects Nos. 17-07-00142 and 17-01-00633.

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Authors and Affiliations

  1. Department of Mathematical Methods and Modeling, Transport and Telecommunication Institute, Lomonosova 1, Riga, 1019, Latvia

    A. M. Andronov

  2. Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow, 117198, Russia

    V. V. Rykov

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

    V. M. Vishnevsky

Authors
  1. A. M. Andronov
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  2. V. V. Rykov
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  3. V. M. Vishnevsky
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Corresponding author

Correspondence to A. M. Andronov .

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Editors and Affiliations

  1. Department of Applied Probability and Informatics, RUDN University, Moscow, Russia

    Vladimir V. Rykov

  2. City University of Hong Kong, Hong Kong, Hong Kong

    Nozer D. Singpurwalla

  3. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    Andrey M. Zubkov

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Andronov, A.M., Rykov, V.V., Vishnevsky, V.M. (2017). On Reliability Function of a Parallel System with Three Renewable Components. In: Rykov, V., Singpurwalla, N., Zubkov, A. (eds) Analytical and Computational Methods in Probability Theory. ACMPT 2017. Lecture Notes in Computer Science(), vol 10684. Springer, Cham. https://doi.org/10.1007/978-3-319-71504-9_18

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  • DOI: https://doi.org/10.1007/978-3-319-71504-9_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-71503-2

  • Online ISBN: 978-3-319-71504-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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