Abstract
In this paper, a new shock model called Marshall–Olkin run shock model is defined and studied. According to the model, two components are subject to shocks that may arrive from three different sources, and component i fails when it is subject to k consecutive critical shocks from source i or k consecutive critical shocks from source 3, i = 1 , 2 . Reliability and mean residual life functions of such components are studied when the times between shocks follow phase-type distribution.
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