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A note on converging geometric-type processes

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Maxim Finkelstein
Maxim Finkelstein*
Affiliation:
University of the Free State and Max Planck Institute for Demographic Research. Email address: finkelm@ufs.ac.za
*
∗Postal address: Department of Mathematical Statistics, University of the Free State, 339 Bloemfontein 9300, South Africa.
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Abstract

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The process of deterioration of repairable systems with each repair is modeled using converging geometric-type processes. It is proved that the expectation of the number of repairs in each interval of time is infinite. A new regularization procedure is suggested and the corresponding optimization problem is discussed.

Keywords

Geometric processrenewal processrepairable systemrenewal functionminimal repairoverhaul

MSC classification

Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 47 , Issue 2 , June 2010 , pp. 601 - 607
Copyright
Copyright © Applied Probability Trust 2010 

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