Continuous fractal queueing models for mobile traffic

This paper discusses continuous fractal traffic queueing 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 the density evolution equations, we obtain the limiting probability of the number of packets in the system with invariant measures. Simulation results are obtained to show a heavy tailed property. We believe that this model will benefit engineering applications, where the engineer just needs to adjust the parameters of S_(x) to present the appropriate models in a mobile communication process.