On reliability function of a parallel system with three renewable components

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. © 2017, Springer International Publishing AG.

Authors
Andronov A.M.1 , Rykov V.V. 2 , Vishnevsky V.M.3
Journal
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Language
English
Pages
199-209
Status
Published
DOI
10.1007/978-3-319-71504-9_18
Volume
10684 LNCS
Year
2017
Organizations
  • 1 Department of Mathematical Methods and Modeling, Transport and Telecommunication Institute, Lomonosova 1, Riga, 1019, Latvia
  • 2 Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
  • 3 V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Profsoyuznaya str. 65, Moscow, 117997, Russian Federation
Keywords
Alternating processes; Recurrent event; Renewal equation; System reliability
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6200/
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