Geodesic
Reliability of system with dependent units
Applications of Mathematics, Tome 30 (1985) no. 5, pp. 317-320
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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 $r\leq n$ 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.
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 $r\leq n$ 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.
DOI : 10.21136/AM.1985.104159
Classification : 60K10, 90B25
Keywords: system reliability; unit reliability; unit importance; essential unit 
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Kasumu, Raimi Ajibola. Reliability of system with dependent units. Applications of Mathematics, Tome 30 (1985) no. 5, pp. 317-320. doi: 10.21136/AM.1985.104159

[1] John G. Kemeny J. Laurie Snell: Finite Markov Chain. D. Van Nostrand Company Inc., New York (1960). | MR

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