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Some Replacement Policies in a Random Environment

Published online by Cambridge University Press:  27 July 2009

Moshe Shaked  and
J. George Shanthikumar
Moshe Shaked
Affiliation:
Department of MathematicsUniversity of Arizona Tucson, Arizona 85721
J. George Shanthikumar
Affiliation:
School of Business AdministrationUniversity of California, Berkeley Berkeley, California 94720
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Abstract

Several models of maintenance of repairable multicomponent systems, subjected to a random environment, are introduced in this paper. For each model, it is shown how various probabilistic quantities of interest are “monotone” as a function of the probability law of the environment or as a function of other parameters of the model. Also, conditions are given which imply the positive dependence of the failure times, or of the counters of the number of failures, in these models.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 3 , Issue 1 , January 1989 , pp. 117 - 134
Copyright
Copyright © Cambridge University Press 1989

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