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Minimal repair in heterogeneous populations

Part of: Operations research and management science Special processes

Published online by Cambridge University Press:  14 July 2016

M. S. Finkelstein
M. S. Finkelstein*
Affiliation:
University of the Free State, Bloemfontein
*
∗ Postal address: Department of Mathematical Statistics, University of the Free State, PO Box 339, 9300 Bloemfontein, Republic of South Africa. Email address: finkelm@sci.uovs.ac.za
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Abstract

The notion of minimal repair is generalized to the case when the lifetime distribution function is a continuous or a discrete mixture of distributions (heterogeneous population). The statistical (black box) minimal repair and the minimal repair based on information just before the failure of an object are considered. The corresponding stochastic intensities are defined and analyzed for the point processes generated by both types of minimal repair. Some generalizations are discussed. Several simple examples are considered.

Keywords

Minimal repairstatistical minimal repairinformation-based minimal repairstochastic intensitynonhomogeneous Poisson process

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection
Type
Short Communications
Information
Journal of Applied Probability , Volume 41 , Issue 1 , March 2004 , pp. 281 - 286
Copyright
Copyright © Applied Probability Trust 2004 

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