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

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3.4 Reliability and maintainability characteristics

Reliability and maintainability characteristics and parameters in semi-Markov models are presented in many books: [6, 7, 11, 24, 32, 60, 72, 90, 93]. Assume that the evolution of a system’s reliability is described by a finite state space S SMP {X(t):0}si192_e. Elements of a set S represent the reliability states of the system. Let S+ consists of the functioning states (up states) and S- contains all the failed states (down states). The subset S+ and S- form a partition of S, i.e., S=S+Ssi193_e and S

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