Abstract:
A system consisting of a large number of elements of two kinds is considered. In the course of time elements become defective and are replaced by new ones. The state of the system is a point on the plane with coordinates equal to the numbers of defective elements of each kind. System functions regularly as long as its state belongs to a certain domain on the plain. Refusal intensity, restitution speed and domain depend on a parameter. Under certain assumptions providing high reliability of the system, the principal terms of the logarithmic asymptotics of the system average working time, the probability of its normal functioning during a fixed time interval and some other characteristics are computed.
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