部件有两类故障状态且修理设备可更换的并联可修系统分析  

Analysis of Parallel Repairable System with a Replaceable Repair Facility and Two Types of Failure Units

作　　者：姜颖[1,2] 唐应辉[2,3] 

机构地区：[1]西南科技大学理学院,四川成都621010 [2]四川师范大学数学与软件科学学院,四川成都610066 [3]四川师范大学基础教学学院,四川成都610066

出　　处：《应用数学》2014年第3期535-545,共11页Mathematica Applicata

基　　金：国家自然科学基金和青年基金(71171138;71301111);四川师大研究生优秀学位论文培育基金(36)

摘　　要：本文考虑由两个同型部件组成的并联可修系统,每个部件有两类故障状态,部件故障后立即修理,且修理设备在修理故障部件的过程中也可能发生故障.假定部件的寿命和修理设备的寿命均服从指数分布,部件发生故障后的修理时间和修理设备故障后的更换时间均服从一般分布,利用马尔可夫更新过程理论,求得系统的有关可靠性指标和修理设备的闲期长度和"广义忙期"长度等一系列结果.This paper considers a two-same-units paralleled repairable system with a replaceable repair facility.Each unit has two types of failure and will be repaired at once if it appears one of failures.Under assuming that the life of each unit has exponential distribution and the repair time has general distribution,and the life time of the repair facility obeys exponential distribution and its replace time obeys general distribution,a series of results,such as some reliability of the system and facility＇s idle period length and generalized busy period length,are obtained by using Markov renewal process theory.

关 键 词：两类故障状态 可更换修理设备 可用度 故障次数 广义忙期 

分 类 号：O213.2[理学—概率论与数理统计]