Modeling Safety of Multistate Ageing Systems

First, basic notions of the multistate system safety analysis are introduced, i.e. the multistate components and the multistate system, the multistate system component safety function, the multistate system safety and the multistate system risk function are defined. Moreover, the multistate system component and the multistate system main safety characteristics, i.e. their mean values of the lifetimes and in the safety state subsets and in the particular safety states and standard deviations and the moment when the system risk function exceeds a fixed permitted level are determined. Furthermore, there are constructed safety models of the multi-state homogeneous and non-homogeneous series, parallel, “m out of n”, consecutive “m out of n: F”, series-parallel, parallel-series, series-“m out of n”, “m out of n”-series, series-consecutive “m out of n: F” and consecutive “m out of n: F”-series systems and their safety functions are determined. Moreover, a very often met in practiceseries system composed of multistate subsystems identical with the considered earlier multistate systems is considered and its safety function is determined.