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A system model with interacting components: renewal-type results

Published online by Cambridge University Press:  01 July 2016

E. Arjas ,
P. Haara  and
R. L. Tweedie
E. Arjas
Affiliation:
Oulu University
P. Haara
Affiliation:
Oulu University
R. L. Tweedie
Affiliation:
SIROMATH, Sydney
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Extract

We consider a k-component system where the failure rates of the components interact, but where interaction depends only on the current ages of the components. The stationary behaviour of such systems has been studied by, for example, Franken and Streller (1980). Our main aim is to study the transient behaviour, and in particular to show that under easily verifiable conditions the transient behaviour tends to a stationary situation.

Type
Applied Probability in Biology and Engineering. An ORSA/TIMS Special Interest Meeting
Information
Advances in Applied Probability , Volume 16 , Issue 1 , March 1984 , pp. 7 - 8
Copyright
Copyright © Applied Probability Trust 1984 

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References

Franken, P. and Streller, A. Reliability analysis of complex repairable systems by means of marked point processes. J. Appl. Prob. 17, 154–167.Google Scholar