单服务台多服务员排队的泛函重对数律

Functional Law of Iterated Logarithm for a Single-station Multi-server Queue

文章考虑了一个单服务台多服务员排队系统。在得到其强逼近结果的前提下,我们将该系统的一些重要指标——队长过程和闲期过程的泛函重对数律的问题转化为一个反射布朗运动相关问题;利用已有的布朗运动重对数律的结果,得到了队长过程和闲期过程的泛函重对数律的极限值。

In this paper,we consider the single-station multi-server queue.We transfer the problem of functional law of iterated logarithm for queue length process and idle time process into problems related to reflected Brown Motion.By using the result of reflected Brown Motion,we get the functional law of iterated logarithm for queue length process and idle time process.