Asymptotic analysis of the operating time of a system with unreliable interchangeable elements and recovery device under conditions of element’s fast repair
A model with interchangeable elements with possible failures and one reliable restoring device is considered. It is assumed that the distribution function of the operating time of an element is arbitrary, and its recovery time is exponential. Relationships are obtained that determine the distribution of the operating time of the entire system, and the asymptotic behavior of this distribution is investigated under the condition of rapid repair of the element.