基于HNBUE(HNWUE)寿命分布类的M/G/1排队等待时间分布函数的指数型界值

The Exponential Bounds of Waiting Time Distribution in M/G/1 Queue Based on HNBUE(HNWUE) Life Distribution Classes

本文考虑一个M/G/1排队,其中顾客到达率为λ(>0)和服务时间分布函数为G(t).在顾客服务时间的分布函数G(t)具有HNBUE(HNWUE)分布类特性的条件下,本文研究等待时间分布函数的界值问题,得到等待时间分布函数的易于计算的、有实用价值的指数型界值表达式,并通过计算例子表明所得结果有应用价值.

This paper considers an M/G/1 queue with Poisson arrival rate A（〉 0） and service time distribution G（t）. The bounds of the waiting time distribution in M/G/1 queue are studied under the distribution G（t） is HNBUE（HNWUE） lift distribution class, and some practical and exponential expressions of the bounds are obtained. Furthermore, some numerical examples to explain the value of these results axe also given.