两比例失效率元件组成串联系统元件冗余与系统冗余的随机比较  

Stochastic Comparison at Component Level and System Level Series System with Two Proportional Hazards Rate Components

作　　者：张建东 颜荣芳 ZHANG Jiandong;YAN Rongfang(College of mathematics and statistics,Northwest Normal University,Lanzhou, Gansu 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《经济数学》2018年第4期91-95,共5页Journal of Quantitative Economics

基　　金：国家自然科学基金资助项目(71471148)

摘　　要：针对两个比例失效率元件组成的串联系统,在热冗余的情形下,讨论了串联系统的元件冗余与系统冗余两种方案,并基于随机序的方法,对普通随机序、失效率序、反失效率序建立了元件冗余优于系统冗余的随机比较理论.In the active redundancy case,two redundancy policies were discussed of component level and system level for the scries system consisting of two proportional hazards rate model components,and based on the theory of stochastic order,the stochastic comparisons results are established that component level is better than system level in the sense of the usually sto-chastic orders hazard rate order,reversed hazard rate orders respectively.

关 键 词：比例失效率模型 普通随机序 失效率序 反失效率序 随机比较 

分 类 号：O213.2[理学—概率论与数理统计]