有优先权三个不同型部件冷贮备系统的几何过程模型  

A geometric process model of cold standby system with three different components with priority

作　　者：汪云芬[1] 马淑莲[1] 刘海涛[2] 吴文娟[2] 

机构地区：[1]河北民族师范学院数学与计算机系,河北承德067000 [2]燕山大学理学院,河北秦皇岛066004

出　　处：《兰州理工大学学报》2011年第5期126-130,共5页Journal of Lanzhou University of Technology

摘　　要：为了解决由"修复非新"部件组成的可修系统,运用几何过程理论、拉普拉斯变换和补充变量方法,研究有优先权三个不同型部件和一个修理工组成的可修型冷贮备系统.假设部件的工作寿命和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和3的修理则是修复如新,且对部件规定其优先使用权和优先修理权,得出该系统的可用度、可靠度等可靠性指标.该成果具有一定的理论和实际意义.In order to deal with the repairable system composed of ＂repair of non-new＂ components,the geometric process theory,Laplace transform and the supplementary variable method were used to investigate the repairable cold standby system composed of three different components with priority and a repairman.Assuming the service life and repair time of the components to obey the exponential distributions and the repair of component #1 to be of geometry repair and the repair of component #2 and #3 to be repaired as good as a new one,and further the component to be stipulated for its priority in use and in repair,then the system＇s availability,reliability and other reliability indices would be obtained.This result would have theoretical and practical significance.

关 键 词：几何过程 补充变量 马尔可夫过程 优先权 拉普拉斯变换 

分 类 号：O213.2[理学—概率论与数理统计]