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

In the actual study, we carried out a reliability analysis of a repairable redundant data transmission system with the use of the elaborated mathematical and simulation model of a closed heterogeneous cold standby system. The system consists of one repair unit and two different data sources with an...

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Autores principales:	Hector Gibson Kinmanhon Houankpo, Dmitry Kozyrev
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	reliability of redundant systems stochastic modeling simulation steady-state probability distribution generally distributed repair times Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/239d769f0c3945e4b7a871b72b8c93b9
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spelling	oai:doaj.org-article:239d769f0c3945e4b7a871b72b8c93b92021-11-25T18:16:51ZMathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System10.3390/math92228842227-7390https://doaj.org/article/239d769f0c3945e4b7a871b72b8c93b92021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2884https://doaj.org/toc/2227-7390In the actual study, we carried out a reliability analysis of a repairable redundant data transmission system with the use of the elaborated mathematical and simulation model of a closed heterogeneous cold standby system. The system consists of one repair unit and two different data sources with an exponential cumulative distribution function (CDF) of their uptime and a general independent CDF of their repair time. We consider five special cases of the general independent CDF; including Gamma, Weibull-Gnedenko, Exponential, Lognormal and Pareto. 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 assess the reliability of the whole system in the event of failure of its components. Specific analytic expressions and asymptotic valuations are obtained for the steady-state probabilities of the system and the SSP of failure-free system operation. A simulation model of the system in cases where it is not workable to obtain expressions for the steady-state probabilities of the system in an explicit analytical form was considered, in particular for constructing the empirical system reliability function. The issue of sensitivity analysis of reliability characteristics of the considered system to the types of repair time distributions was also studied. The simulation modeling was done with the R statistics package.Hector Gibson Kinmanhon HouankpoDmitry KozyrevMDPI AGarticlereliability of redundant systemsstochastic modelingsimulationsteady-state probability distributiongenerally distributed repair timesMathematicsQA1-939ENMathematics, Vol 9, Iss 2884, p 2884 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	reliability of redundant systems stochastic modeling simulation steady-state probability distribution generally distributed repair times Mathematics QA1-939
spellingShingle	reliability of redundant systems stochastic modeling simulation steady-state probability distribution generally distributed repair times Mathematics QA1-939 Hector Gibson Kinmanhon Houankpo Dmitry Kozyrev Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System
description	In the actual study, we carried out a reliability analysis of a repairable redundant data transmission system with the use of the elaborated mathematical and simulation model of a closed heterogeneous cold standby system. The system consists of one repair unit and two different data sources with an exponential cumulative distribution function (CDF) of their uptime and a general independent CDF of their repair time. We consider five special cases of the general independent CDF; including Gamma, Weibull-Gnedenko, Exponential, Lognormal and Pareto. 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 assess the reliability of the whole system in the event of failure of its components. Specific analytic expressions and asymptotic valuations are obtained for the steady-state probabilities of the system and the SSP of failure-free system operation. A simulation model of the system in cases where it is not workable to obtain expressions for the steady-state probabilities of the system in an explicit analytical form was considered, in particular for constructing the empirical system reliability function. The issue of sensitivity analysis of reliability characteristics of the considered system to the types of repair time distributions was also studied. The simulation modeling was done with the R statistics package.
format	article
author	Hector Gibson Kinmanhon Houankpo Dmitry Kozyrev
author_facet	Hector Gibson Kinmanhon Houankpo Dmitry Kozyrev
author_sort	Hector Gibson Kinmanhon Houankpo
title	Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System
title_short	Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System
title_full	Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System
title_fullStr	Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System
title_full_unstemmed	Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System
title_sort	mathematical and simulation model for reliability analysis of a heterogeneous redundant data transmission system
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/239d769f0c3945e4b7a871b72b8c93b9
work_keys_str_mv	AT hectorgibsonkinmanhonhouankpo mathematicalandsimulationmodelforreliabilityanalysisofaheterogeneousredundantdatatransmissionsystem AT dmitrykozyrev mathematicalandsimulationmodelforreliabilityanalysisofaheterogeneousredundantdatatransmissionsystem
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Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System

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