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Reliability of a consecutive-k-out-of-n system in a random environment

Published online by Cambridge University Press:  14 July 2016

Ourania Chryssaphinou*
Affiliation:
University of Athens
Stavros Papastavridis*
Affiliation:
University of Patras
*
Postal address: Department of Mathematics, University of Athens, Panepistemiopolis, 15784 Athens, Greece.
∗∗Postal address: Applied Mathematics Division, University of Patras, 26110 Patras, Greece.

Abstract

We consider a consecutive-k-out-of-n system situated in a random environment where shocks occur and cause components to fail with certain probabilities. Under certain reasonable assumptions we compute the moment generating function of the time of failure of the system and the distribution of the number of shocks required to cause failure of the system.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1990 

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References

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