A study on a two unit parallel system with erlangian repair time

A two unit parallel system where in the failure rate of a unit is a constant and the repair time distribution is a two stage erlangian distribution is considered. Measures of system performance such as reliability, MTBF, system availability and steady state availability are derived. Also, a consiste...

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Main Authors: S. N. Singh, S. K. Singh
Format: Article
Language:English
Published: University of Bologna 2013-05-01
Series:Statistica
Online Access:http://rivista-statistica.unibo.it/article/view/3498
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spelling doaj-8280bc6579d44ba18eb2a604fbc7a6cd2020-11-24T23:06:37ZengUniversity of BolognaStatistica0390-590X1973-22012013-05-01671697710.6092/issn.1973-2201/34983245A study on a two unit parallel system with erlangian repair timeS. N. Singh0S. K. Singh1Department of Mathematics - University of TransketSchool of Studies in Statistics - Ravishankar UniversityA two unit parallel system where in the failure rate of a unit is a constant and the repair time distribution is a two stage erlangian distribution is considered. Measures of system performance such as reliability, MTBF, system availability and steady state availability are derived. Also, a consistent asymptotically normal (CAN) estimator, a 100(1-α) % asymptotic confidence interval for the steady state availability of the system and the maximum likelihood estimator (MLE) of the system reliability are obtained.http://rivista-statistica.unibo.it/article/view/3498
collection DOAJ
language English
format Article
sources DOAJ
author S. N. Singh
S. K. Singh
spellingShingle S. N. Singh
S. K. Singh
A study on a two unit parallel system with erlangian repair time
Statistica
author_facet S. N. Singh
S. K. Singh
author_sort S. N. Singh
title A study on a two unit parallel system with erlangian repair time
title_short A study on a two unit parallel system with erlangian repair time
title_full A study on a two unit parallel system with erlangian repair time
title_fullStr A study on a two unit parallel system with erlangian repair time
title_full_unstemmed A study on a two unit parallel system with erlangian repair time
title_sort study on a two unit parallel system with erlangian repair time
publisher University of Bologna
series Statistica
issn 0390-590X
1973-2201
publishDate 2013-05-01
description A two unit parallel system where in the failure rate of a unit is a constant and the repair time distribution is a two stage erlangian distribution is considered. Measures of system performance such as reliability, MTBF, system availability and steady state availability are derived. Also, a consistent asymptotically normal (CAN) estimator, a 100(1-α) % asymptotic confidence interval for the steady state availability of the system and the maximum likelihood estimator (MLE) of the system reliability are obtained.
url http://rivista-statistica.unibo.it/article/view/3498
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