两个相依部件并联系统的几何过程模型

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.