线性相邻k/n(F)不可修系统的可靠性分析  

Reliability analysis of linear consecutive k/n(F) Un-repairable system

作　　者：陈琴[1] 董秋仙[1] 子龙[1] 张芳[1] 刘汝良[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（工科版）》2015年第1期96-102,共7页Journal of Nanchang University(Engineering & Technology)

基　　金：江西省教育厅科学技术研究基金资助项目(GJJ14114)

摘　　要：线性相邻的表决系统k/n(F)在电讯系统和石油输通管道中广泛存在。对该类型的不可修系统的可靠性进行系统分析和讨论,假定每一个部件的工作时间服从负指数分布,且相互独立。先对特殊情况下的几种系统进行分析,在此基础上,根据n与k的关系分3种情况进行讨论,求得一般系统的可靠度表达式,为工程上进行可靠性分析以及相应的系统可靠性优化提供参考。A linear consecutive k / n（ F） voting system,which existed widely through the pipeline in tne telecommunication and oil system,was studied in this study. The reliability of un-repairable system for this type was system analysised and discussed. The working time of each separate unit was assumed to exponential distributions.Firstly,the liner consecutive four out of six fail system in the particular example was studied. And then two kinds of three and two units out of six units fail were discussed. Finally,according to the relationship of the and,the system would be discussed three cases to obtain failed probability and reliability by using total probability formula. The system has significance in engineering about system reliability optimization to provide the reference.

关 键 词：k/n(F) 线性相邻 不可修系统 可靠度 

分 类 号：O213.2[理学—概率论与数理统计]