混合延迟消失制Geo_1■Geo_2/Geo_1,Geo_2/s/s+K排队系统

Mixed Delay and Loss Geo_1■Geo_2/Geo_1,Geo_2/s/s+K Queue System

研究了具有两类顾客的带优先权的Geo1■Geo2/Geo1,Geo2/s/s+K排队系统,第一类顾客具有延迟损失性,第二类顾客具有损失性,并且第二类顾客对第一类顾客具有抢占优先权.使用矩阵几何解的方法,得到了两类顾客的平均队长、损失率和系统利用率等性能指标,最后通过Matlab软件给出了一些具体数值例子.

In this paper, a Geo1＋Geo2/Geo1 ,G eo2/s/s ＋ K queue system is considered, there are two class of customer in the system, the first class of customer is delay and lossy, the second class of customer is lossy, and the second class of customer has preemptive resume priority than the first class of customer. Using matrix analysis method, the mean queue length distribution of two classes of customers are derived, loss rate and system utilization in steady state are also obtained. Finally, some numerical examples are presented in Matlab.