一类N-策略 M/G/1排队系统队长分布

The Queue Length Distribution of Queueing System under N-Policy

摘要:

引入一种新的分析方法,研究了一类具有启动/关闭时间的N-策略的 M/G/1排队系统的队长分布。首先,使用随机分解技术导出了系统的队长分布的概率母函数；再根据 Leibniz公式结合随机分解结果直接得到附加队长分布,进一步得到该排队系统队长分布的表达式；最后,举例说明队长分布表达式的分析应用。

Abstract:

In this paper, a new method was developedfor calculating the queue length distribution on one M/G/1 queueing system under N-policy with general startup/closedown. Firstly, the stochastic decomposition property was used to derive the p.g.f. of the queue length distribution. By the Leibniz formula of derivation, the addition. al queue length distribution was investigated, and then, the expression of queue length distribution was derived. Finally, an example was given for illustrating the application of the expression.