有优先维修权和优先使用权的冷储备系统的几何过程模型  

GEOMETRIC PROCESS MODEL FOR A COLD STANDBY REPAIRABLE SYSTEM WITHP RIORITY IN REPAIR AND IN USE

作　　者：王冠军[1] 张元林[1] 

机构地区：[1]东南大学数学系,南京210096

出　　处：《经济数学》2005年第1期42-49,共8页Journal of Quantitative Economics

摘　　要：本文研究了一个由两个部件和一个维修工组成的可修型冷储备系统.假设两个部件的工作时间和维修时间都服从指数分布,对部件2的维修是修旧如新而对部件1则是几何维修,且对部件1给予优先使用和优先维修的权利,在这些假定下,我们运用几何过程理论和补充变量方法,得到了一些重要的可靠性指标如系统可靠度、可用度、系统首次故障前平均工作时间和系统瞬时故障率等.最后还给出了维修工空闲的概率.In this paper, a cold standby repairable system consisting of two components and one repairman is studied. Assume that the working time and the repair time distributions of the two components are exponential. And assume that component 2 after repair is 'as good as new' while component 1 after repair is not, but component 1 is given priority in repair and use. Under these assumptions, using the geometric process and the method of supplementary variable, some important system reliability indices such as the system availability, reliability, MTTFF and ROCOF are educed. Finally, the idle probability of the repairman is also obtained.

关 键 词：补充变量 马尔科夫过程 优先权 拉普拉斯变换 指数分布 可靠性 

分 类 号：TB114.3[理学—概率论与数理统计] O211.62[理学—数学]