Abstract: In this work the simulation of realizations of telecommunications traffic, which has multifractal properties. The mathematical model of traffic is based on a stochastic binomial multiplicative cascade process with beta-distributed weighting coefficients. There was carry out computer simulation of model multifractal traffic advancing over the communication channel. The emergence of queuing in the infinite buffer size and number of losses with limited buffer size has been studied.

Keywords: self-similar stochastic process, Hurst exponent, multifractal stochastic processes, scaling exponent, wavelet transform modulus maxima method, telecommunications traffic, stochastic binomial multiplicative cascade.

ACM Classification Keywords: : G.3 Probability and statistics - Time series analysis , Stochastic processes, G.1 Numerical analysis, G.1.2 Approximation - Wavelets and fractals.

Link:

MODELING TELECOMMUNICATIONS TRAFFIC USING THE STOCHASTIC MULTIFRACTAL CASCADE PROCESS

Lyudmyla Kirichenko, Tamara Radivilova, Eias Kayali

http://foibg.com/ibs_isc/ibs-28/ibs-28-p06.pdf