随机环境影响下系统可靠性比较  

Comparison of System Reliability under Random Environment

作　　者：丁艳红[1] 张奕[1] 

机构地区：[1]浙江大学数学科学学院,浙江杭州310027

出　　处：《应用数学》2016年第4期846-854,共9页Mathematica Applicata

基　　金：教育部人文社会科学研究项目(13YJA910005);浙江省自然科学基金(LY13A010001);中央高校基本科研业务费专项资金资助;国家社科基金重大项目(13&ZD163)

摘　　要：本文研究随机环境影响系统相依结构的情形下,系统可靠性的随机比较,文章采用连接函数表示系统的相依结构,研究不同随机环境因子下两个系统的象限序、弱多元失效率序、n中取k系统的寿命等的随机比较,并通过实际例子进行分析.In this paper, we make a comparison of system reliability between two different random environments, considering the random environment only affects the dependence structure of system. Based on the dependence structure of system modeled by copulas, we mainly research, with the effect of random environments, the reliability indexes including orthant order, multivariate hazard rate order, convex order, and the lifetime of k-out-of-n system. Also, in this paper some practical examples are analyzed.

关 键 词：随机环境 相依结构 连接函数 随机序 n中取k系统 可靠性 

分 类 号：O213.2[理学—概率论与数理统计]