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.
DOI :
10.21136/AM.1985.104159
Classification :
60K10, 90B25
Mots-clés : system reliability; unit reliability; unit importance; essential unit
Mots-clés : system reliability; unit reliability; unit importance; essential unit
@article{10_21136_AM_1985_104159, author = {Kasumu, Raimi Ajibola}, title = {Reliability of system with dependent units}, journal = {Applications of Mathematics}, pages = {317--320}, publisher = {mathdoc}, volume = {30}, number = {5}, year = {1985}, doi = {10.21136/AM.1985.104159}, mrnumber = {0806829}, zbl = {0586.60089}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104159/} }
TY - JOUR AU - Kasumu, Raimi Ajibola TI - Reliability of system with dependent units JO - Applications of Mathematics PY - 1985 SP - 317 EP - 320 VL - 30 IS - 5 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104159/ DO - 10.21136/AM.1985.104159 LA - en ID - 10_21136_AM_1985_104159 ER -
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. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104159/
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