Journal of Statistics Applications & Probability

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This paper probabilistically investigates the steady state performance of a two unit cold standby system. The system consists of two identical units and a server who is meant for bringing the system back in to operation as early as possible after failure. The server failure during working is possible. The server is treatable/ diagnosable but if its treatment time exceeds a specified limit it gets replaced. The failure, repair, replacement and treatment times are assumed to be statistically independent. The semi-Markov process and regenerative point technique are used to derive expressions for steady state performance measures. The simulation results are also given for mean time to system failure, availability and profit.

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