Select main parameters of Internet traffic exchange network

The article considers the urgent problem of mathematical modeling of the Internet traffic exchange network. A mathematical model of an Internet traffic exchange network with an arbitrary number IX (Internet Exchange Point, IX, IXP) in the form of a Queuing network is presented. The model allows you to analyze alternative options for building a traffic exchange network and determine the optimal parameters of its structure: minimize the average delay and select the bandwidth of communication channels, the performance of traffic exchange nodes with restrictions on reliability and cost, and select the topology of the traffic exchange network taking into account the main parameters. Calculation examples are provided for Internet traffic exchange networks with a uniformly growing and substantially uneven loading of channels. We conclude that it is advisable to build networks with several Internet traffic exchange nodes.