多重工作休假的Geom/Geom/1/N排队的稳态分析

Performance Analysis of the Geom/Geom/1/N Queuing System with Multiple Working Vacations

文章研究了多重工作休假的Geom/Geom/1/N离散时间排队系统。应用矩阵几何解的方法,给出了稳态下顾客数的概率分布,并得到了系统平均队长、平均等待队长以及顾客的消失概率等性能指标。最后通过数值例子分析了系统参数对系统的平均队长和消失概率的影响。

In this paper,we consider a discrete time Geom/Geom/1/N queuing system with multiple working vacations.We obtain the distribution of the number of customers in the system by matrix-geometric solution method.Some performance measures of the system such as the average number of the customers and the average waiting time of a customer and the loss probability in the stationary state are also presented.Finally,we verify the effect of the parameters of system on the average queue length and loss probability by numerical examples.