Methods of Simulation Queueing Systems with Heavy Tails

Important problems of correct organization of simulation experiments for calculating fractal queueing systems are considered. Fractal systems are described asymptotically by power laws of arrival interval distribution and service time of requests and are adequate mathematical models of network devices of telecommunication systems with fractal (self-similar) traffic. We propose an effective solution to the problem for the correct realization of heavy-tailed distributions. Accuracy control techniques for calculating fractal queues by means of consecutive or repeated “parallel” runs of simulation models are developed. The application examples of the developed methods are given.