具有单重休假和修复不如新的两部件并联系统  

The Parallel System with Repair of Non-New and Repairman Vacation

作　　者：马淑莲[1] 汪云芬[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：《数学的实践与认识》2011年第16期111-117,共7页Mathematics in Practice and Theory

摘　　要：为了解决由"修复非新"部件组成的具有休假的可修型系统,运用几何过程理论、补充变量法和拉普拉斯变换工具,研究了由两个不同型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和修理时间均服从不同的指数分布,修理工可休假,对部件1的修理是几何修理而对部件2的修理则是修复如新,得到了系统的可用度、可靠度和系统首次故障前平均时间等可靠性指标.成果具有一定的理论和实际意义.In order to solve the ＂repair of non-new＂ components of repairable systems, by using the geometric process theory, the supplementary variable method and Laplace transform, two different types of components and one repairman of repairable parallel reserve system is studied. Assume that two components of working time and the repair time are subjoct to the different exponential distribution and repairman can vacation. The repair of the component 1 is geometry repair and the repair of the component 2 is as good as new. The reliability of some important indices such as system availability, reliability, system average working time to first failure are obtained. The results have some theoretical and practical significance.

关 键 词：几何过程 补充变量 休假 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]