电光与控制, 2012, 19 (11): 93, 网络出版: 2012-11-07
指数分布单元组成的典型系统备件数目解析分析方法
An Analytic Method for Quantity of Spare Parts in Typical System Consisted of Units with Exponential Distribution
可靠性应用 备件数目 典型系统 指数分布 平均可用度 reliability application spare parts number typical system exponential distribution average availability
摘要
大多数电子产品可认为是由指数分布单元组成的典型系统,分析其所需备件数量具有工程实用价值,然而如何精确快速地求出备件需求量是目前亟待解决的问题。在假定备件更换时间忽略不计条件下,采用泊松过程方法,推导出系统故障概率的积分表达式,据此提出了系统不能工作时间和平均不可用度的解析分析方法。由于该解析分析公式是级数形式的解析解,因而具有计算速度快、计算精度高的特点,避免了繁琐的蒙特卡罗仿真计算,从而为相同指数分布单元组成的典型系统的备件数目分析提供了工程实用方法。
Abstract
Most electronic products can be viewed as the typical systems consisted of units with exponential distributionand thus its of great significance to determine the quantity of spare parts.Howeverhow to acquire the needed quantity of spare parts exactly and quickly is a problem in engineering.Suppose that the replacement time is neglectedan integral expression of failure probability is given by using Poisson processbased on which an analytic method is proposed for downtime and average unavailability of the system.Since the formula is expressed as analytical solution in form of seriesit has the characteristics of high calculation speed and high accuracywhich can avoid complicated computation of Monte Carlo simulation.Thereforeit provides a practical method for spare part determination.
金星, 常浩, 彭博, 鲁海. 指数分布单元组成的典型系统备件数目解析分析方法[J]. 电光与控制, 2012, 19(11): 93. JIN Xing, CHANG Hao, PENG Bo, LU Hai. An Analytic Method for Quantity of Spare Parts in Typical System Consisted of Units with Exponential Distribution[J]. Electronics Optics & Control, 2012, 19(11): 93.