具有单重休假和修复不如新的两部件温贮备系统

研究了修理工单重休假且由两个不同型部件和一个修理工组成的可修型温贮备系统. 系统考虑了在工作故障和贮备 故障都不能 “修复如新”, 部件 1 是修复非新而部件 2 修复如新的条件下, 假设部件的工作寿命、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, 修理工休假服从一般连续型分布. 运用几何过程理论、补充变量法、 拉普拉斯变换及拉普拉斯--司梯阶变换, 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. 最后, 通过数值模拟验证了结果的有效性.

A Warm Standby System with Repair of Non-new and Repairman Vacation

A repairable warm standby system composed of two different components and one repairman who has vacation is studied.The system considers the work fault and standby fault is not "as good as new",and the repair of component 1 is not as good as new and repair of component 2 is as good as new.Assume that the working time,the standby time,the repair time after fault and the repair time after standby fault of two components are subject to different exponential distributions,and that the repairman vacation time obeys the general distribution.The system s availability,reliability,the system average working time to first failure and other reliability indices are obtained by using the geometric process theory,the supplementary variable method,Laplace transform and Laplace-Stieltjes transform.Finally,a numerical example is given to simulate the effective of the results.