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Imperfect repair models with preventive maintenance

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Haijun Li  and
Moshe Shaked
Haijun Li*
Affiliation:
Washington State University
Moshe Shaked*
Affiliation:
University of Arizona
*
∗Postal address: Department of Mathematics, Washington State University, Pullman, WA 99164, USA.
∗∗Postal address: Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA. Email address: shaked@math.arizona.edu
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Abstract

Brown and Proschan (1983) introduced the imperfect repair model, in which an item, upon failure, is replaced with a new one with probability α, and is minimally repaired with probability 1 − α. In this paper we equip the imperfect repair model with preventive maintenance, and we obtain stochastic maintenance comparisons for the numbers of failures under different policies via a point-process approach. We also obtain some results involving stochastic monotonicity properties of these models with respect to the unplanned complete repair probability α.

Keywords

Block and age replacementstochastic ordercompensator functionNBUIFR

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 40 , Issue 4 , September 2003 , pp. 1043 - 1059
Copyright
Copyright © Applied Probability Trust 2003 

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