两个同型部件温贮备系统的几何过程模型  

A Geometric Process Model for a Warm Standby System of the Two Similar Components

作　　者：杨勇 刘海涛[2] 吴文娟[3] 张静文[1,2] 孟宪云[2] 张建龙[2] 付钦惠 李芳[2] 

机构地区：[1]重夹科创职业学院机电学院,重庆402160 [2]燕山大学理学院,河北秦皇岛066004 [3]哈尔滨工业大学控制理论与制导技术研究中心,黑龙江哈尔滨150080

出　　处：《数学的实践与认识》2013年第22期128-134,共7页Mathematics in Practice and Theory

摘　　要：利用可靠性理论,研究了两个同型部件和一个修理工组成的可修型温贮备系统.假设两个部件的工作寿命、贮备寿命、故障后的修理时间和贮备故障后的修理时间均服从不同的指数分布,在工作故障和贮备故障都不能"修复如新"的情况下,运用几何过程理论、拉普拉斯变换和补充变量方法得出该模型的一些可靠性指标.In this paper, to use the reliability theory, two similar components and one repairman of the warm standby system is studied. Assume that two components for working time, standby time, the repair time after fault and the repair time after standby fault are subject to the different exponential distribution. The repair failure and the standby failure can not be ＂as good as new＂, the reliability indices of the system model are obtained by using geometric process theory, the supplementary variable method and Laplace transform.

关 键 词：几何过程 补充变量 马尔可夫过程 温贮备 拉普拉斯变换 

分 类 号：O213.2[理学—概率论与数理统计]