Abstract

P/M/1, which models the service processes of self-similar GPRS packet traffic in GSM standard mobile telecommunication networks, including Pareto and limited Pareto distributions, and fBM/D/1/∝ type single-channel mass service system, which takes into account the self-similarity of this traffic, has been viewed. Development of telecommunication networks. has gone through many different stages of development to the current modern networks, which eventually resulted in a large number of different types of mobile telecommunication networks. One of such networks is GSM (Global system for mobile communication) standard mobile telecommunication networks. In these networks, the directions of rapid development of modern service services are observed recently, one of these directions is the GPRS (General packet radio service) superstructure service, which is considered the superstructure of the GSM mobile network and carries out the transmission of data in packets. Analytical models of these systems are developed based on them Analytical methods have been proposed for evaluating relevant quality of service characteristics such as the relative average waiting time of packets in these systems, average queue length, buffer volume, and packet dwell time in the system. As well as the nature of the dependence of the shape parameter of the Pareto distribution on the Herst parameter was determined based on the experiment.

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