Reliability analysis of a homogeneous hot standby 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

2 Citations (Scopus)

Abstract

In this work, we consider a mathematical model of the repairable redundant data transmission system as a model of a closed homogeneous hot standby system with one repair device with an arbitrary number of data sources with an exponential distribution function of uptime and a general distribution function of the repair time of its elements. We study the reliability of the system, defined as the steady-state probability 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 elements. Explicit analytic and asymptotic expressions are obtained for the steady-state probabilities of the system states and the steady-state probability of failure-free system operation, which allow us to analyze other operational characteristics of the system relative to the performance of the backup elements using the constant variation method. We consider a simulation model of the system in cases where it is not possible to obtain expressions for the steady-state probabilities of system in an explicit analytical form and for constructing the empirical distribution function of the system’s uptime and the empirical system reliability function. Exponential (M), Weibull-Gnedenko (GW), Pareto (PAR), Gamma (G) and Lognormal (LN) distributions were selected for analysis and comparison of results.

Original languageEnglish
Title of host publicationProceedings of the 30th European Safety and Reliability Conference and the 15th Probabilistic Safety Assessment and Management Conference
EditorsPiero Baraldi, Francesco Di Maio, Enrico Zio
PublisherResearch Publishing, Singapore
Pages3074-3081
Number of pages8
ISBN (Print)9789811485930
DOIs
Publication statusPublished - 2020
Event30th European Safety and Reliability Conference, ESREL 2020 and 15th Probabilistic Safety Assessment and Management Conference, PSAM15 2020 - Venice, Italy
Duration: 1 Nov 20205 Nov 2020

Publication series

NameProceedings of the 30th European Safety and Reliability Conference and the 15th Probabilistic Safety Assessment and Management Conference

Conference

Conference30th European Safety and Reliability Conference, ESREL 2020 and 15th Probabilistic Safety Assessment and Management Conference, PSAM15 2020
CountryItaly
CityVenice
Period1/11/205/11/20

Keywords

  • Asymptotic analysis
  • Redundant communications
  • Reliability assessment
  • Reliability function
  • Simulation
  • Steady-state probabilities
  • Stochastic modeling

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