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Reliability, Maintainability and Risk, 9th Edition by David J. Smith

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Appendix 13

Markov Analysis of Redundant Systems

In Chapter 8, it was explained that the traditional use of Markov analysis in respect of redundant systems is fundamentally flawed in that repair/down times are not a random process and depend upon earlier events than the one immediately preceding the failure in question. The repair of the second failure is dependent on the progress of the first in that a single repair crew will continue to deal with that first failure.

However, up to the point of the second failure occurring the Markov assumption, given that there are multiple repair crews, holds good. It is, therefore, reproduced in this Appendix for interest since it is so frequently referred to in the literature.

The Markov method for calculating ...

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