摘要
研究了由两个存在两种故障状态模式的不同型部件和一个修理工组成的温贮备可修系统.假定两部件的工作寿命、贮备寿命和故障后的修理时间均服从不同的指数分布,对部件1的修理是几何修理而对部件2的修理是修复如新.通过补充变量法构造了一个二维马尔可夫过程,并运用几何过程理论和拉普拉斯变换工具,推导出了该系统在各个状态之间的拉普拉斯表达式以及系统的可靠度和首次故障前的平均工作时间.
In this paper, a warm standby repairable system for two different components with two types of fault state and a repairman has been studied. It is assumed that the working life, standby life and repair time after failure of two components are subject to different exponential distribution and the repair of com- ponent 1 is a geometric repair and the repair of component 2 is as good as new. With the supplementary variable method to constitute two-dimensional Markov process, and with the geometric process theory and the Laplace transform, the expression of Laplace transform for each state, system reliability and system average working time to first failure have been obtained. The results have some theoretical and practical significance in some automatic control equipment.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第7期24-30,共7页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
几何过程
马尔可夫过程
温贮备系统
补充变量法
拉普拉斯变换
geometric process
Markov process
warm standby system
supplementary variable method
Laplace transform
