Reliability of system with dependent units

Raimi Ajibola Kasumu

Aplikace matematiky (1985)

  • Volume: 30, Issue: 5, page 317-320
  • ISSN: 0862-7940

Abstract

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The availability of a system with dependent units is obtained in the case where the system fails when one of the essential units fails. Markov model is assumed. The system considered consists of n dependent units of which r n units are essential units. A unit is said to be essential if its failure causes the system to fail. The mean and variance of time to system failure are given. Unit reliability is also discussed.

How to cite

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Kasumu, Raimi Ajibola. "Reliability of system with dependent units." Aplikace matematiky 30.5 (1985): 317-320. <http://eudml.org/doc/15413>.

@article{Kasumu1985,
abstract = {The availability of a system with dependent units is obtained in the case where the system fails when one of the essential units fails. Markov model is assumed. The system considered consists of $n$ dependent units of which $r\le n$ units are essential units. A unit is said to be essential if its failure causes the system to fail. The mean and variance of time to system failure are given. Unit reliability is also discussed.},
author = {Kasumu, Raimi Ajibola},
journal = {Aplikace matematiky},
keywords = {system reliability; unit reliability; unit importance; essential unit; system reliability; unit reliability; Unit importance},
language = {eng},
number = {5},
pages = {317-320},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Reliability of system with dependent units},
url = {http://eudml.org/doc/15413},
volume = {30},
year = {1985},
}

TY - JOUR
AU - Kasumu, Raimi Ajibola
TI - Reliability of system with dependent units
JO - Aplikace matematiky
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 5
SP - 317
EP - 320
AB - The availability of a system with dependent units is obtained in the case where the system fails when one of the essential units fails. Markov model is assumed. The system considered consists of $n$ dependent units of which $r\le n$ units are essential units. A unit is said to be essential if its failure causes the system to fail. The mean and variance of time to system failure are given. Unit reliability is also discussed.
LA - eng
KW - system reliability; unit reliability; unit importance; essential unit; system reliability; unit reliability; Unit importance
UR - http://eudml.org/doc/15413
ER -

References

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  1. John G. Kemeny J. Laurie Snell, Finite Markov Chain, D. Van Nostrand Company Inc., New York (1960). (1960) MR0115196

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