Abstract

The paper deals with a system consisting of \(n\) identical elements and one repairing device. While one element is working, others stay in reserve. The distribution of working and repairing times of elements are supposed to be exponential. The asymptotic distribution of the system lifetime under the conditions of its high reliability is investigated.

中文翻译：

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具有后备元件和修复装置的系统可靠性的渐近分析

摘要

该论文涉及一个由\(n\) 个相同元素和一个修复设备组成的系统。当一个元素工作时，其他元素保留。元件的工作和修复时间的分布应该是指数分布的。研究了系统在高可靠性条件下寿命的渐近分布。