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Characteristic Reliability Measures of Mixed Standby Components and Asymptotic Estimation

DOI: 10.5923/j.statistics.20120203.01

Keywords: Availability, Mean Time to System Failure, Asymptotic Estimation, Series System

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Abstract:

In this paper, we investigate the reliability measures: availability and mean time to system failure, for four configurations of series systems with mixed standby components: cold and warm. The time to repair and to failure for each of the operative and warm standby components are assumed to follow the exponential distribution. Comparisons of the computed’s and steady state availabilities for the four configurations are obtained for specific values of distribution parameters and cost of the components. The configurations are then ranked based on , and cost/ benefit, where benefit is either or . Asymptotic estimation of , and cost/ benefit are computed for the optimal systems.

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