Journal of Mathematical Sciences

, Volume 237, Issue 6, pp 782–788 | Cite as

Probabilistic Analysis of a Redundant Repairable System with Two Service Operations

  • R. V. KakubavaEmail author
  • J. Sztrik
  • N. A. Svanidze

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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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Georgian Technical UniversityTbilisiGeorgia
  2. 2.University of DebrecenDebrecenHungary
  3. 3.Shota Rustaveli Batumi State UniversityBatumiGeorgia

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