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Modeling of repairable systems

Part of: Stochastic processes Operations research and management science

Published online by Cambridge University Press:  01 July 2016

Nader Ebrahimi
Nader Ebrahimi*
Affiliation:
Northern Illinois University
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Abstract

The reliability of many stochastic repairable systems depends on several characteristics that are time dependent. In this paper, we develop general repair models for a repairable system by using auxiliary stochastic processes which describe physical characteristics of the system and derive various properties of resulting models. We also obtain an inference procedure to assess the number of failures and expected number of failures for our proposed models by observing auxiliary processes.

Clearly, our inference procedure is different from the traditional approach, where successive times of occurrence of failures are observed.

Keywords

NON-HOMOGENEOUS POISSON PROCESSBROWNIAN MOTION, ORNSTEIN–UHLENBECK PROCESS

MSC classification

Secondary: 60G55: Point processes 90B25: Reliability, availability, maintenance, inspection
Type
Research Article
Information
Advances in Applied Probability , Volume 25 , Issue 4 , December 1993 , pp. 926 - 938
Copyright
Copyright © Applied Probability Trust 1993 

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