相关性失效下的零部件重要度统计评价  

Statistical Importance Model of Components Involving Failure Correlation

作　　者：严雳[1] 唐家银[1] 何平[1] 张北[1] 刘虹豆[1] 

机构地区：[1]西南交通大学数学学院统计系,四川成都610031

出　　处：《数学的实践与认识》2016年第12期151-157,共7页Mathematics in Practice and Theory

基　　金：中央高校基本科研业务费专题项目(2682014ZT29);国家自然科学基金(51175439);教育部人文社会科学研究青年基金(11YJCZH154);中国铁路总公司科技研究开发计划项目(2013J006-B);四川省科技厅基础应用项目(2012JY0022)

摘　　要：重要度评价在可靠性工程中有着举足轻重的地位,是产品可靠性设计的基础.分别研究了在相依部件系统中的部件可靠性重要度与结构重要度.采用多维Copula函数拟合多部件之间的相依结构,从各类型重要度的刻画角度,经过一系列的数学处理,建立相应的相关性失效下零部件重要度评价模型.对于复杂且实用的k/n(G)系统,运用可靠度计算与结构函数表征之间的等效映射来对相关性失效下的三类重要度评价进行建模.Importance measures evaluation plays a significant role in reliability engineering, and is the basis of reliability design of product. This paper studies reliability importance measures and structure importance measures of components in the system that components are dependent. It uses multivariate Copula function fitting dependent structure among multiple components, and from the description of important measures of the various types, through a series of mathematical treatment, builds corresponding importance measures evaluation model of components involving failure correlation. In complex and practical kin（G） system, it uses equivalent mapping between reliability calculation and representation of structure function to model for three types of importance measures evaluation involving failure correlation.

关 键 词：可靠性 重要度 COPULA 相依性 

分 类 号：TB114.3[理学—概率论与数理统计]