Study on the Multifractal Spectrum of Local Area Networks Traffic and Their Correlations

Due to the singularity in the Local Area Network (LAN) traffic, the multifractal spectrums are used to study the characteristics of network traffic from the viewpoint of nonlinear dynamic system. First, the multifractal spectrums of the LAN traffic are introduced and established to investigate the complex features of the systems. Then, the distributions of spectrum parameter vs. the network traffic are studied in detail, and some important phenomena, which are related with the complicated networks traffic, are captured. Furthermore, the correlations between multifractal spectrum and logarithm of mean traffic are presented, and they can be feasibly applied to the prediction for the networks traffic. Some conclusions can be drawn that the variation of width of multifractal spectrum is similar to that of network traffic in a sense. To some degree, the difference between maximum and minimum probability of multifractal spectrum is ahead to the oscillation of network traffic, and it is a fundamental route for the network traffic prediction.