Approximation of Reliability for a large system with non-markovian repair-times
Jean-Louis Bon; Jean Bretagnolle
ESAIM: Probability and Statistics (2010)
- Volume: 3, page 49-65
- ISSN: 1292-8100
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topBon, Jean-Louis, and Bretagnolle, Jean. "Approximation of Reliability for a large system with non-markovian repair-times." ESAIM: Probability and Statistics 3 (2010): 49-65. <http://eudml.org/doc/197749>.
@article{Bon2010,
abstract = {
Consider a system of many components with constant failure rate and
general repair rate. When all components are reliable and easily reparable,
the reliability of the system can be evaluated from the probability q of
failure before restoration. In [14], authors give an asymptotic
approximation by monotone sequences. In the same framework, we propose,
here, a bounding for q and apply it in the ageing property case.
},
author = {Bon, Jean-Louis, Bretagnolle, Jean},
journal = {ESAIM: Probability and Statistics},
keywords = { Reliability; ageing repair; minimal cut.; harmonic new better than used in expectation; constant failure rate; general repair rate; HNBUE},
language = {eng},
month = {3},
pages = {49-65},
publisher = {EDP Sciences},
title = {Approximation of Reliability for a large system with non-markovian repair-times},
url = {http://eudml.org/doc/197749},
volume = {3},
year = {2010},
}
TY - JOUR
AU - Bon, Jean-Louis
AU - Bretagnolle, Jean
TI - Approximation of Reliability for a large system with non-markovian repair-times
JO - ESAIM: Probability and Statistics
DA - 2010/3//
PB - EDP Sciences
VL - 3
SP - 49
EP - 65
AB -
Consider a system of many components with constant failure rate and
general repair rate. When all components are reliable and easily reparable,
the reliability of the system can be evaluated from the probability q of
failure before restoration. In [14], authors give an asymptotic
approximation by monotone sequences. In the same framework, we propose,
here, a bounding for q and apply it in the ageing property case.
LA - eng
KW - Reliability; ageing repair; minimal cut.; harmonic new better than used in expectation; constant failure rate; general repair rate; HNBUE
UR - http://eudml.org/doc/197749
ER -
References
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