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In this paper, we introduce a simple behavior of reliable system with replacement interpreted by Petri net and derived its probabilistic behavior by using Markov renewal processes. We considered two replacement polices which are preventive replacement and corrective replacement. We derived the mean firstpassage time, the expected number of visiting a certain state and limiting probabilites by applying Markov renewal processes. Finally we confirmed the effective of replacements for the system in numerical examples.

Reliable System by Interpreted Petri Net and Analysis of Its Probabilistic Behavior by Markov Renewal Processes