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

Hector G.K. Houankpo, Dmitry Kozyrev

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3 Citations (Scopus)


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.

Original languageEnglish
Title of host publicationDistributed Computer and Communication Networks - 22nd International Conference, DCCN 2019, Revised Selected Papers
EditorsVladimir M. Vishnevskiy, Dmitry V. Kozyrev, Konstantin E. Samouylov, Dmitry V. Kozyrev
Number of pages12
ISBN (Print)9783030366131
Publication statusPublished - 2019
Event22nd International Conference on Distributed and Computer and Communication Networks, DCCN 2019 - Moscow, Russian Federation
Duration: 23 Sep 201927 Sep 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11965 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference22nd International Conference on Distributed and Computer and Communication Networks, DCCN 2019
CountryRussian Federation


  • Mathematical modeling
  • Sensitivity
  • Simulation
  • Steady state probabilities
  • System-level reliability
  • Warm standby

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