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Ordering of repairable systems

Published online by Cambridge University Press:  14 July 2016

Nader Ebrahimi
Nader Ebrahimi*
Affiliation:
Northern Illinois University
*
∗Postal address: Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115–2888, USA.
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Abstract

The problem of how to compare repairable systems has long been of interest to those who are engaged in reliability analysis. In this article we have introduced a type of comparison of two counting processes. Various properties and applications of our stochastic comparison are also studied.

Keywords

NON-REPAIRABLE SYSTEMREPAIRABLE SYSTEMRENEWAL PROCESSNON-HOMOGENEOUS POISSON PROCESSWEIBULL PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 1 , March 1990 , pp. 193 - 201
Copyright
Copyright © Applied Probability Trust 1990 

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Footnotes

Supported by U.S. Air Force Office of Scientific Research Grant AFOSR-89–0402.

References

Ascher, H. and Feingold, H. (1984) Repairable Systems Reliability. Marcel Dekker, New York.Google Scholar
Marshall, A. and Olkin, I. (1979) Inequalities: Theory of Majorization and its Applications. Academic Press, New York.Google Scholar
Pledger, G. and Proschan, F. (1973) Stochastic comparisons of random processes with applications in reliability. J. Appl. Prob. 10, 572–585.CrossRefGoogle Scholar
Ross, S. M. (1983) Stochastic Processes. Wiley, New York.Google Scholar