Mathematical Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System

Hector G.K. Houankpo, D. V. Kozyrev, E. Nibasumba, M. N.B. Mouale

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

4 Citations (Scopus)

Abstract

In the current work, we perform reliability analysis of a repairable data transmission system with the use of the elaborated mathematical model of a closed heterogeneous redundant cold standby system. The system consists of a single repair unit with two different data sources with an exponential distribution function (DF) of uptime and a general independent DF of the repair time of its components. We study the system- level reliability, defined as the steady-state probability (SSP) of failure-free system operation. The proposed analytical methodology made it possible to evaluate the reliability of the entire system in case of failure of its components. Explicit analytic expressions and asymptotic estimates are obtained for the SSP of the system and the SSP of failure-free system operation. The obtained results which allow analyzing other operational characteristics of the system with respect to the performance of the backup components. The problem of analyzing the sensitivity of the reliability characteristics of the system under consideration to the types of repair time distributions was also studied. Obtained formulas showed that there is a clear dependence of these characteristics on the DF types of the recovery time of system's components. However, numerical studies and analysis of the constructed graphs showed that this dependence becomes vanishingly small with a quick restoration of system components.

Original languageEnglish
Title of host publication2020 12th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2020
PublisherIEEE Computer Society
Pages189-194
Number of pages6
ISBN (Electronic)9781728192819
DOIs
Publication statusPublished - Oct 2020
Event12th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2020 - Brno, Czech Republic
Duration: 5 Oct 20207 Oct 2020

Publication series

NameInternational Congress on Ultra Modern Telecommunications and Control Systems and Workshops
Volume2020-October
ISSN (Print)2157-0221
ISSN (Electronic)2157-023X

Conference

Conference12th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2020
CountryCzech Republic
CityBrno
Period5/10/207/10/20

Keywords

  • Asymptotic analysis
  • Availability
  • Redundant communications
  • Reliability of redundant systems
  • Sensitivity
  • Stochastic modeling

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