The average maximum values of queues in mass service systems with group poisson flows

As a model of telecommunication traffic, it is proposed to use a group non-ordinary Poisson flow. The interval characteristics of these flows are considered and the prospects of their application are shown. The concept of average maximum values of queues is introduced. Ratios establishing the dependence of the average maximum values of queues on the load and characteristics of group Poisson flows are obtained. It is shown that at low loads, the average maximum values of the queues significantly exceed their average values. The prospects of using the obtained ratios in the analysis of packet traffic of telecommunication networks are shown.