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On Reliability Function of a Parallel System with Three Renewable Components

  • A. M. AndronovEmail author
  • V. V. Rykov
  • V. M. Vishnevsky
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, 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.

Keywords

Alternating processes Recurrent event Renewal equation System reliability 

Notes

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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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • A. M. Andronov
    • 1
    Email author
  • V. V. Rykov
    • 2
  • V. M. Vishnevsky
    • 3
  1. 1.Department of Mathematical Methods and ModelingTransport and Telecommunication InstituteRigaLatvia
  2. 2.Department of Applied Probability and InformaticsPeoples’ Friendship University of Russia (RUDN University)MoscowRussia
  3. 3.V.A. Trapeznikov Institute of Control Sciences of Russian Academy of SciencesMoscowRussia

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