Assessing Jitter when Processing Traffic in the G/G/1 System

Abstract

Analysis of the parameters of the functioning of IP-networks in the processing of multimedia streams is a very important task. There are many approaches to assessing the quality of service parameters in the G/G/1 system. Changing the delay of packets on the network is a very important parameter that deter-mines the quality of traffic processing. The change in delay is usually defined either as packet jitter or as a variation in packet delay. At the same time, the required accuracy in determining the parameters can be obtained quite accurately, since all decisions are mainly based on certain assumptions. The paper presents an approach to determining the change in packet delay in the G/G/1 system as packet jitter. The basis of the presented approach is the approximation of arbitrary distributions by hyperexponential distributions, i.e. modeling of the G/G/1 system by the H2/H2/1 system. The solution to the jitter estima-tion problem is to determine the distribution parameters. To evaluate the parameters of hyperexponen-tial distributions, the EM algorithm is used. As the traffic studied, a multimedia stream registered on a real network was used. An analytical estimate of jitter in the G/G/1 system is obtained. The results ob-tained are applicable for independent flows and for random variables uncorrelated in the structure of each sequence.