基于Copula的部件相依并联系统模糊可靠性分析  

On the Effect of Copula for Parallel System of Fuzzy Reliability with Dependent Components

作　　者：陈贤芳[1] 孙永波[1] 

机构地区：[1]重庆大学数理学院,重庆400044

出　　处：《电子质量》2009年第9期30-32,56,共4页Electronics Quality

摘　　要：模糊可靠度是指产品在规定的使用条件下,在预期的使用时间左右,在某种程度上保持其规定功能的概率。论文在考虑并联系统模糊可靠性元部件之间相依关系的问题上,从连接函数copula出发,通过观测并联系统元部件的相关系数,解决并联系统的模糊可靠度及其平均寿命。并以Copula中Farlie-Gumbel-Morgenstern族寿命分布服从指数分布的情况下,解决此两类模糊可靠性指标。Fuzzy reliability refers to the probability that products keep their prescriptive functions to some extent, under normal using conditions and about the expected time. When studying systems of reliability with parallel components, it is usually assumed that the components are independent; however, the assumption is seldom valid in practice. This paper we investigate the dependence of components, solved the problem about the fuzzy reliability and fuzzy average life of systems. First, observe the reliability coefficients of the systems,considering the fuzzy reliability of systems with parallel components. Moreover,the paper solved both kinds of fuzzy reliability indexes under the condition that the distributions of Farlie Gumble-Morgensterm family random variables in copula are exponent.

关 键 词：并联系统 模糊可靠性 COPULA Farlie-Gumbel-Morgenstern族 

分 类 号：O213.2[理学—概率论与数理统计] C102.2[理学—数学]