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A general minimal repair model

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Terje Aven  and
Uwe Jensen
Terje Aven*
Affiliation:
Stavanger University College
Uwe Jensen*
Affiliation:
University of Ulm
*
∗Postal address: Stavanger University College, Ullandhaug, 4091, Stavanger, Norway. Email address: terje.aven@tn.his.no
∗∗Postal address: Department of Stochastics, University of Ulm, 89069 Ulm, Germany
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Abstract

Minimal repairs have been given considerable attention in the reliability literature. Instead of replacing a failed system by a new one, such a minimal repair restores the system to the state it had just before failure. But the state just before failure depends on the information which is available about the system. Different information levels are possible. This paper gives a general definition characterizing point processes which describe time points of minimal repairs with respect to a certain information level. Some examples demonstrate the wide range of applications.

Keywords

Reliabilityminimal repair processshock modelsdifferent information levels

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection
Type
Research Papers
Information
Journal of Applied Probability , Volume 37 , Issue 1 , March 2000 , pp. 187 - 197
Copyright
Copyright © 2000 by The Applied Probability Trust 

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