修理时间服从PH分布的两部件可靠性分析  

Reliability Analysis of Two Parallel Repairable Units System with Phase Type Repairs

作　　者：董兵[1] 唐应辉[2] 

机构地区：[1]中国民航飞行学院计算机学院,四川广汉618307 [2]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《西华大学学报（自然科学版）》2008年第3期69-71,76,共4页Journal of Xihua University:Natural Science Edition

基　　金：四川省教育厅自然科学基金重点项目(No.A067);四川师大引进人才基金项目;中国民航飞行学院青年基金(No.2007)

摘　　要：考虑由两不同部件组成的并联系统,假定部件的寿命服从指数分布,部件失效后的修理时间服从PH分布,修复如新。利用马尔可夫过程,研究了系统的如下指标:系统的平稳概率分布、系统的可靠度、可用度以及系统的稳态故障频度;系统的瞬时概率分布和系统首次失效时间分布;修理工的忙期和闲期分布。并证明了系统的首次失效时间服从PH分布,维修设备的忙期也服从PH分布。In this paper a parallel repairable system is considered as consisting of two dissimilar units and a single repairman.In the system,the life distribution of these two units is assumed to be exponential distribution,the repair distribution is assumed to be phase type distribution,and it is 'as good as new' after the failed units repair.Under this assumption,the following features are studied by using Markov process,such as stationary probability distribution,system reliability and system availability,system mean failure time,distribution of the busy period and the idle period of the repairman.Respectively we prove that the reliability distributions follow PH distribution and busy period distribution of the server and repairman follow PH distribution.

关 键 词：PH分布 可修系统 稳态概率分布 

分 类 号：O213.2[理学—概率论与数理统计] O226[理学—数学]