M/G1/1型可修排队的强度守恒律分析

用从平稳点过程和Palm分布理论推得的强度守恒律尝试研究了寿命为一般分布的M／G1／1型可修排队系统,在求得模型稳态工作量和拟虚等待时间表达式的基础上,得到了服务台的首次故障前时间,系统可用度,平均失效概率,服务台平均失效次数和系统故障频度等．有趣的是,当寿命分布取其特例指数分布时,与文选中已知的结果完全一致．

Rate Conservation Law Analysis of an M/GI/1 Type Queue with Repairable Server

Using the "Rate Conservation Law" (RCL) method, developed from the stationary point process and palm distribution theory, we try to study a type of M/GI/1 queueuing system with repairable server of generally distributed lifetimes. After getting the steady-state workload and the pseudo-virtual waiting time expressions, we have obtained the first passage time to server failure, the probability of server availability, the mean of server failure probability, the mean times of server failure, and the failure rate of the system. It is interesting that some of them are evidently coincided with the known results in literature when the lifetimes of server are exponentially distributed instead of its general distributions.