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Reliability analysis for systems in a random environment

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Kyriakos Petakos  and
Theothosios Tsapelas
Kyriakos Petakos*
Affiliation:
University of Athens
Theothosios Tsapelas*
Affiliation:
University of Athens
*
∗Postal address for both authors: Department of Mathematics, University of Athens, Panepistimiopolis, 15784 Athens, Greece.
∗Postal address for both authors: Department of Mathematics, University of Athens, Panepistimiopolis, 15784 Athens, Greece.
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Abstract

We consider some important systems in reliability theory situated in a random environment, where shocks occur and cause component failure in a specific way. We study some appropriate coefficients, which play an important role in the reduction of our systems to a linear combination of parallel subsystems.

Keywords

SHOCK MODELSFAILURE MODELSSYSTEM RELIABILITYk-OUT-OF- n:F SYSTEMCIRCULAR-CONSECUTIVE-k-OUT-OF-n:F SYSTEMLINEAR-k-WITHIN-r-CONSECUTIVE-OUT-OF-n:F SYSTEM

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 4 , December 1997 , pp. 1021 - 1031
Copyright
Copyright © Applied Probability Trust 1997 

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Footnotes

Theothosios J. Tsapelas is financially supported by the National Scholarship Foundation of Greece.

References

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