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This article is concerned with the application of limit reliability functions to the reliability evaluation of large systems. Two‐state large nonrepaired systems composed of independent components are considered. The asymptotic approach to the system reliability investigation and the system limit reliability function are defined. Two‐state homogeneous series and parallel systems are defined and their exact reliability functions are determined. The classes of limit reliability functions of these systems are presented. This article contains an exemplary application of the presented facts to the reliability evaluation of large technical systems. The accuracy of this evaluation is illustrated. Brief review and the latest references on limit reliability functions of two‐state and multistate homogeneous and nonhomogeneous series, parallel, and other systems are presented as well.

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A semi-Markov model of a system operation process is proposed and its selected parameters are determined. A series-parallel multi-state system is considered and its reliability and risk characteristics are found. Next, the joint model of the system operation process and the system multi-state reliability and risk is constructed. Finally, the asymptotic approach to reliability, availability and risk evaluation of the multi-state series-parallel system in its operation process is applied to the port grain transportation system.