串并联系统中休止时间的随机比较  

Stochastic Comparisons of Inactivity Time in Series and Parallel System

作　　者：罗天奇 LUO Tian-qi(Lanzhou Petrochemical University of Vocational Technology,Lanzhou Gansu 730070,China)

机构地区：[1]兰州石化职业技术大学,兰州730070

出　　处：《西华师范大学学报（自然科学版）》2022年第2期162-169,共8页Journal of China West Normal University(Natural Sciences)

基　　金：甘肃省高等学校创新能力提升项目(2019A-166)。

摘　　要：本文使用随机序对串并联系统休止时间进行随机比较,研究发现,将一个元件分配到两个元件组成的串联系统,其组成的串并联系统的休止时间在普通随机序和失效率序下强于旧元件组成的串并联系统;将两个元件分配到两个元件组成的串联系统,其组成的串并联系统的休止时间在普通随机序和反失效率序下强于旧元件组成的串并联系统。本文进一步在似然比序下得到并联系统的休止时间强于旧元件组成的并联系统休止时间。This paper mainly talks about the stochastic comparison of inactivity time in series and parallel systems with the aid of stochastic order.It is found that the inactivity time of assigning a component to a series system composed of two components under certain conditions is stronger than that of series and parallel system composed of old elements under the stochastic order and hazard rate order;the inactivity time of assigning two components to a series system composed of two components is stronger than that of series and parallel system composed of old components under the stochastic order and reversed hazard rate order.Furthermore,the inactivity time of parallel system is stronger than that of parallel system composed of old components under the likelihood ratio order.

关 键 词：串并联 休止时间 普通随机序 失效率序 反失效率序 似然比序 

分 类 号：O211.5[理学—概率论与数理统计]