Gaver''''s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations
修理工可多重休假的带有一个冷贮备部件的Gaver 并联系统

This paper studies the Gaver's parallel repairable system attended by a cold standby unit and a repairman with multiple vacations.It is assumed that the operating time of units has an exponential distribution,while the repair-time and the vacation time have general continuous distributions.Using vector Markov process theory and Laplace transform method,we obtain the Laplace transform of the reliability,the mean time to first failure,the steady-state availability and the steady-state failure frequency and so on.In addition,we also investigate the parameters' effect on the steady-state availability by numerical comparison and analyze the benefit of the system.