Markov Repairable Systems with History-Dependent Up and Down States

Abstract

This paper introduces a Markov model for a multi-state repairable system in which some states are changeable in the sense that whether those physical states are up or down depends on the immediately preceding state of the system evolution process. Several reliability indexes, such as availability, mean up time, steady-state reliability, are calculated using the matrix method. A sufficient condition under which the availabilities of the stochastically monotone repairable systems with history-dependent states can be compared is also obtained. Some examples are presented to illustrate the results in the paper. Mathematics Subject Classification: 60K10.

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Cite this paper

@inproceedings{Cui2006MarkovRS, title={Markov Repairable Systems with History-Dependent Up and Down States}, author={Lirong Cui and Haijun Li and Jinlin Li}, year={2006} }