Further Results for the Queueing System Mx/M/c
Further Results for the Queueing System Mx/M/c
复制标题
排队系统 Mx/M/c 的进一步结果
DOI：
10.1057/jors.1979.178
复制
发表时间：
1979
影响因子：
3.6
通讯作者：
W. Grassmann
中科院分区：
文献类型：
--
作者：
M. Cromie;M. Chaudhry;W. Grassmann
对于多通道成批到达排队，Mx/M/c，Abol‘nikov和Kabak分别得到了稳态结果。本文对这些作者的结果进行了推广、修正和简化。计算了三种情况下的效率度量：(I)一个恒定值，(Ii)几何分布，或(Iii)正泊松分布。文中还说明了如何计算排队长度和等待时间分布的分数。以表格和图表的形式给出了某些效率度量的大量数值结果的例子。
For the multi-channel bulk-arrival queue,Mx/M/c, Abol'nikov and Kabak independently obtained steady state results. In this paper the results of these authors are extended, corrected and simplified. A number of measures of efficiency are calculated for three cases where the arrival group size has: (i) a constant value, (ii) a geometric distribution, or (iii) a positive Poisson distribution. The paper also shows how to calculate fractiles for both the queue length and the waiting time distribution. Examples of extensive numerical results for certain measures of efficiency are presented in tabular and chart form.