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Presents a newly developed stochastic model for performing reliability and availability analyses of a repairable general standby human‐machine system with increasing human error rates and arbitrary failed system repair rates. Also, the model takes into consideration the occurrence of common‐cause failures. The joint‐density function approach, supplementary variable techniques, and linear ordinary differential equation methods were used to perform analyses. Develops the expressions for steady state availability, the system time‐dependent availability, reliability and mean time to failure.

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