Abstract
This paper deals with the busy-period analysis of a single-server two-unit warm standby system subject to inspection. Two inspection policies are proposed, namely: (i) failure of the operating unit as well as the standby unit are detected by inspection only but system failure is detected instantaneously without inspection; (ii) failure of the operating unit and the standby unit as well as the system failure are detected by inspection only. The current study deals with the above suggested inspection policies when duration of inspection is non-negligible. The failure times of the operating unit and the standby are assumed to be exponentially distributed with parameters λ and λ 1, respectively. Regeneration point technique is adopted to carry out the analysis. System parameters, such as 1. 1. point-wise availability of the system in (0, t] 2. 2. s-expected up-time of the system in (0, t] 3. 3. s-expected busy-period of the service facility in (0, t] 4. 4. s-expected net gain per unit time in (0, t] 5. 5. steady-state availability of the system are obtained.
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