Abstract
In the paper the basic notions of the ageing multistate systems reliability analysis are introduced. The system multistate components and the multistate system reliability functions are defined and the mean values of the multistate system lifetimes in the reliability state subsets and in the particular reliability states are determined. The notions of the multistate system risk function and the moment of the system exceeding the critical reliability state are introduced. The series, parallel and “m out of n” reliability structures of the multistate systems with ageing components and series reliability structure with hot single reservation are defined and their reliability functions are determined. Further, in the developed reliability models, it is assumed that the system components have the multistate Weibull reliability functions with various parameters in their different reliability state subsets. Under this assumption, the proposed multistate system reliability models and reliability improvement models are applied in maritime transport to the reliability analysis of a maritime ferry technical system and its reliability function and other main characteristics are determined.
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