两个相依部件并联系统的几何过程模型  

A geometric process model for parallel system with two dependent components

作　　者：刘海涛[1] 孟宪云[1] 张建龙[1] 吴文娟[1] 付钦慧[1] 李芳[1] 

机构地区：[1]燕山大学理学院,秦皇岛066004

出　　处：《黑龙江大学自然科学学报》2012年第2期169-173,共5页Journal of Natural Science of Heilongjiang University

基　　金：全国统计科学研究计划项目(2010LC33);河北省教育厅科研计划项目(2007323)

摘　　要：研究了由两个不同相依部件和一个修理工组成的可修型并联系统。假设两个部件的工作寿命服从二维指数分布及修理时间服从指数分布,对部件1的修理是几何修理而对部件2则修复如新。运用几何过程理论和补充变量方法,得出了系统的可靠度和系统首次故障前平均时间的拉普拉斯表达式。最后,通过数值例子验证了结果的有效性。The repairable parallel systems of two dependent components and a repairman are studied.Assume that two components of the working life of obedience two-dimensional exponential distribution and the repair time is exponentially distributed,and the repair of the component 1 is the geometry and the repair of the component 2 is as good as new.By using the geometric theory and the supplementary variable method,some important reliability indices are obtained such as system availability and the Laplace expression of average working time to first failure.Finally,a numerical simulation is used to verify the effective of the results.

关 键 词：几何过程 补充变量 马尔可夫过程 拉普拉斯变换 

分 类 号：O213.2[理学—概率论与数理统计]