修理工可多重休假的带有一个冷贮备部件的Gaver并联系统

Gaver's Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations

研究了修理工可进行多重休假的带有一个冷贮备部件的Gaver并联可修系统.假定部件的工作时间服从指数分布,修理时间和修理工的休假时间均服从一般连续分布.利用向量Markov过程理论和Laplace变换的方法,求出了系统可靠度的Laplace变换,系统首次故障前平均时间的表达式,系统的稳态可用度和稳态故障频度等可靠性指标;此外,还通过数值比较考察了系统参数对系统稳态可用度的影响,并对系统进行了效益分析.

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 repairtime 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.