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Reliability systems in random environment

Published online by Cambridge University Press:  14 July 2016

L. Råde
L. Råde*
Affiliation:
Chalmers University of Technology, Gothenburg, Sweden
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Abstract

A parallel reliability system is subject to shocks which are generated by a renewal point process. The shocks cause the components to fail with certain probabilities. First we study the case when the components fail independently of each other with the same probability. For this case simple closed expressions for the Laplace-Stieltjes transform and expectation of time to system failure are derived. Then a case of dependent components is studied: the probability of failure of a component depends on the number of functioning components. Some extensions are mentioned.

Keywords

PARALLEL SYSTEMRANDOM ENVIRONMENTINDEPENDENT AND DEPENDENT COMPONENTS
Type
Short Communications
Information
Journal of Applied Probability , Volume 13 , Issue 2 , June 1976 , pp. 407 - 410
Copyright
Copyright © Applied Probability Trust 1976 

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References

[1] Gnedenko, B. V., Belyayev, Yu. K. and Solovyev, A. D. (1969) Mathematical Methods of Reliability Theory. Academic Press, New York.Google Scholar