Analysis of Network Traffic with Extreme Value Theory

It is very important to analyze network traffic in the network control and management. In this paper,extreme value theory is first introduced and a model with threshold methods is proposed to analyze the characteristics of network traffic. In this model, only some traffic data that is greater than threshold value is considered.Then the proposed model with the trace is simulated by using S-Plus software. The modeling results show the network traffic model constructed from the extreme value theory fits well with that of empirical distribution. Finally, the extreme value model with the FARIMA(p,d,q) modeling is compared. The analytical results illustrate that extreme value theory has a good application foreground in the statistic analysis of network traffic. In addition, since only some traffic data which is greater than the threshold is processed, the computation overhead is reduced greatly.