Abstract
A mathematical model is proposed for the reliability of an automated technological system consisting of a protected object, an automatic control system, and a safety system. The model is a superposition of alternating renewal processes. Relations are obtained for the probability of the first accident in the interval [0, t] and the probability of an accident both for nonrenewable and renewable components of the automated technological system. A study of the asymptotic properties of the mathematical model made it possible to write down the indicated reliability indicators in a simple form, specifically, in terms of stationary coefficients of readiness of the system components. Particular cases are examined, and the corresponding relations are presented for them.
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