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Some general characteristics of two-state reliability models for maintained systems

Part of: Special processes Stochastic processes Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Norman A. Marlow  and
Michael Tortorella
Norman A. Marlow*
Affiliation:
AT&T Bell Laboratories
Michael Tortorella*
Affiliation:
AT&T Bell Laboratories
*
∗Postal address: AT&T Bell Laboratories, Crawfords Corner Road, P.O. Box 3030, Holmdel, NJ 07733–3030, USA.
∗Postal address: AT&T Bell Laboratories, Crawfords Corner Road, P.O. Box 3030, Holmdel, NJ 07733–3030, USA.
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Abstract

Formulas for the asymptotic failure rate, long-term average availability, and the limiting distribution of the number of long ‘outages' are obtained for a general class of two-state reliability models for maintained systems. The results extend known formulas for alternating renewal processes to a wider class of point processes that includes sequences of dependent or non-identically distributed operating and repair times.

Keywords

AVAILABILITYFAILURE RATEGAPS

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60G55: Point processes 60K99: None of the above, but in this section
Type
Research Papers
Information
Journal of Applied Probability , Volume 32 , Issue 3 , September 1995 , pp. 805 - 820
Copyright
Copyright © Applied Probability Trust 1995 

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