| Summary: | 碩士 === 國立中興大學 === 應用數學系 === 93 === In this thesis, we study the cost benefit analysis of availability systems with warm standby components and imperfect coverage. The time-to-failure and time-to-repair of the active and standby components are assumed to be exponentially and generally distributed, respectively. We assume that the coverage factor is the same for an active-component failures as that for a standby-component failure. We present a recursive, using the supplementary variable technique and treating the supplementary variable as the remaining repair time, to develop the steady-state availability, (or ), for three availability configurations. For all three availability configurations, the explicit expressions for the for three various repair time distributions, such as exponential, k-stage Erlang, and deterministic are provided. Under the cost/benefit criterion, comparisons are performed based on assume numerical values given to the distribution parameters, and to the cost of the active and standby components.
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