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Density evolution method for continuous fractal M/M/1 traffic models

The paper discusses continuous fractal M/M/1 traffic models by combining the density evolution method with fractal-chaos function theory. We use fractal-chaos functions to control the input process of queueing models. By setting up and carrying out density evolution equations, we obtain the limiting probability of the number of packets in the system with invariant measures. Simulation results are obtained showing a heavy tailed property.