Through incorporating a bivariate state process, this paper explores an approach to the stochastic modeling of MRL for a failure-prone parallel system operating in a random environment. The bivariate state-dependent MRL (BSDMRL) model outperforms the ordinary MRL and other state-dependent MRL models in the actual circumstance that it incorporates not only the age factor, but also two basic...
One of the most popular ways to model an impact of a random environment on system’s performance characteristics is via the external shocks that either cause certain damages or immediately result in failures. There is vast literature on this topic with respect to the relevant theoretical properties of the corresponding lifetime models as well as to the various practical applications. One of the...
In reliability theory, k-out-of-n systems play an important role as these are the basic structures of many technical systems used in real-life. While modeling these systems, we most often assumed that the failure of one component does not have any impact on the performance of the remaining surviving components. This indeed oversimplifies the modelling of such systems. Sequential order...