Reliability Model of a Homogeneous Warm-Standby Data Transmission System with General Repair Time Distribution

We consider a mathematical model of a repairable data transmission system as a model of a closed homogeneous system 〈M2/GI/1〉 of two elements in a warm-standby with an exponential distribution function of the time to failure, and with an arbitrary distribution function of the repair time of its elements with one restoring element. Explicit analytical expressions for the stationary probability distribution of the system states and for the stationary failure probability of the system are obtained. Comparison of the reliability of a cold-standby system with hot-standby system through a warm-standby model is performed. A simulation model for the most reliable cold-standby case is developed. © Springer Nature Switzerland AG 2019.

Authors
Houankpo H.G.K. 1 , Kozyrev D. 1, 2
Journal
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Language
English
Pages
443-454
Status
Published
DOI
10.1007/978-3-030-36614-8_34
Volume
11965 LNCS
Year
2019
Organizations
  • 1 Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
  • 2 V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65, Profsoyuznaya Street, Moscow, 117997, Russian Federation
Keywords
Mathematical modeling; Sensitivity; Simulation; Steady state probabilities; System-level reliability; Warm standby
Date of creation
10.02.2020
Date of change
05.04.2022
Short link
https://repository.rudn.ru/en/records/article/record/56385/
Share

Other records