RAPID METHOD FOR CALCULATION OF LOSS PROBABILITIES IN FRACTAL QUEUEING SYSTEMS
An effective method for loss probabilities calculation in queuing systems is developed. An analysis of accuracy and acceleration achieved in comparison with direct simulation is made. The method is used to analyze the queueing systems with power-series distributions which are widely used as models of network devices of modern computer networks. A dependence of loss probability on a buffer capacity in considered systems is established. The influence on this dependence by the heaviness of tails of power-series distributions and by the channel number is investigated. The obtained results can be used for solving engineering problems of analysis and design of modern computer networks operating under the fractal traffic.