Reliability analysis of series and parallel systems with heterogeneous components under random shock environment

Abstract

This article considers the reliability optimization for series and parallel systems under random shock environment, where the components come from a heterogeneous population consisting of some distinct subpopulations. We propose the extreme and cumulative shock models, where the random shock environment for each subsystem is modeled by the nonhomogeneous Poisson process. We analyze the reliability of systems with different components allocation policies, and then obtain the optimal policy that optimizes the system reliability. At the same time, we discuss the influence of the heterogeneity on the system reliability. An illustrative example is also presented.