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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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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