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Semi-Markov Processes: Applications in System Reliability and Maintenance by Franciszek Grabski

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3

Characteristics and parameters of SMP

Abstract

The cumulative distribution functions of the first passage time from the given states to a subset of states and expected values and second moments corresponding to them are considered in this chapter. The equations for these quantities are presented. Moreover, the concept of interval transition probabilities is discussed and the corresponding equations are also derived. These equations allowed obtaining the interval transition probabilities for the alternating process and also for the Poisson and Furry-Yule processes. Furthermore, the reliability and maintainability characteristics and parameters in semi-Markov models are considered in the chapter. At the end of the chapter, numerical illustrative ...

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