Developing a mathematical model for traffic analysis using Hausdorffmetrics

Makshanova Larisa Mikhailovna, Tonkhonoeva Antonida Antonovna, Tsybikova Tuyana Sandalyon

this paper describes algorithms and methods for monitoring actual network traffic of a Telecom operator for loss or unauthorized access using network switches. Such algorithms and methods make it possible to control even larger amounts of data and dynamic processes on any network, which ensures the security and protection of the network operator. Based on the developed algorithm, software products for traffic control were implemented in the production process of Rostelecom's BF. In addition, the paper presents traffic statistics for the entire branch, which clearly shows the principle of traffic analysis. The definition of actual traffic is given. Illegitimate use of communication channels has been identified, which is accompanied by the appearance of abnormal areas in the time series. This article calculates the average traffic value, and also calculates the Hausdorff metric, the description and essence of which are also given in this paper. The calculation is based on the main formulas presented in this paper. It is also worth noting that to apply the traffic calculation method, it is important to have information and data about the approximate network structure; the number of subscribers in all network nodes; the distribution of subscribers by different classes of service; the list of network services; and the description of services. In addition, the article provides statistics of traffic analysis in the context of switches, it is given in the form of a figure.

Keywords:communication operator, network traffic, high-speed algorithm, traffic monitoring and analysis method, Hausdorff metrics.