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Probabilistic Analysis of a Redundant Repairable System with Two Service Operations

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A redundant system with two types of maintenance services, with single repair server and single replacement server, is considered. The replacement and repair times are random variables. Mathematical model for dependability and performance analysis is constructed and investigated in transient (time-dependent mode). An explicit solution in terms of matrix exponential calculus for transient probabilities is obtained.

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Authors and Affiliations

  1. Georgian Technical University, Tbilisi, Georgia

    R. V. Kakubava

  2. University of Debrecen, Debrecen, Hungary

    J. Sztrik

  3. Shota Rustaveli Batumi State University, Batumi, Georgia

    N. A. Svanidze

Authors
  1. R. V. Kakubava
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  2. J. Sztrik
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  3. N. A. Svanidze
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Corresponding author

Correspondence to R. V. Kakubava.

Additional information

Proceedings of the XXXIV International Seminar on Stability Problems for Stochastic Models, Debrecen, Hungary.

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Kakubava, R.V., Sztrik, J. & Svanidze, N.A. Probabilistic Analysis of a Redundant Repairable System with Two Service Operations. J Math Sci 237, 782–788 (2019). https://doi.org/10.1007/s10958-019-04204-1

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  • DOI: https://doi.org/10.1007/s10958-019-04204-1

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