修理工有多重休假的退化系统的可靠性

The reliability for a deteriorating system with its repairman having multiple vacations

研究了具有一个修理工的退化可修系统,修理工具有多重休假,即如果系统是正常运行的,那么修理工就去休假,休假时间是随机变量;如果系统出现了故障,而这时修理工在休假,那么系统必须等待修理,直到修理工从休假返回。通过运用补充变量法与Laplace变换,求得了系统的可靠度、可用度、故障频度以及修理工工作的概率等可靠性指标。

A deteriorative repairable system with a repairman with multiple vacations is considered,i. e. if the system is normal operation,then the repairman takes his vacations,and the vacation time of the repairman is a random variable. If the system is failure,and the repairman is taking his vacation,then the system must be waiting for repairing until the repairman comes back from his vacation. Several reliability indexes for the system are got,i. e. reliability,availability, rate of occurrence of failures and the working probability of the repairman.