开关寿命连续型n部件冷贮备系统的可靠性分析

Reliability Analysis of Cold Standby System with n Components and Continuous Lifetime Switch

为了讨论由n个同型部件和一个转换开关组成的冷贮备不可修系统的可靠度,假设部件的工作时间和转换开关的寿命均服从指数分布、所有随机变量均相互独立,首先根据系统的特征和可靠度的定义研究并求出三部件冷储备系统可靠度的解析式,然后在三部件冷储备系统可靠度研究的基础上建立了n部件冷贮备系统的可靠性关于部件个数n的递推关系式,最终得到系统的可靠度的解析表达式.计算过程对其他多部件系统可靠度的推导有一定的借鉴作用,计算结果具有一定的理论价值.

The reliability of a cold standby system, composed of n identically distributed components and a switch, is discussed. Suppose that the lifetime of the components and the switch in the system are subject to exponential distributions and all variables are mutually independent. Firstly, it discusses the reliability of three parts of cold standby system based on features of the system and the definition of reliability and gets the reliability analytical expression of three parts of cold standby system. Then it establishes recurrence relations about n of the reliability of n component parts cold standby system based on the research of three- part cold storage system and ultimately gets the analytical expression of system reliability .It gives some reference to the calculation of many other parts of the derivation of system reliability and the results have some theoretical value.