MATHEMATICAL MODELING OF TELECOMMUNICATION SYSTEMS AND PROCESS OPTIMIZATION IN BIG DATA (HIGH-DIMENSIONAL DATA)

Abstract

The modern development of the information society is accompanied by a rapid growth in the volume of data transmitted by telecommunication networks, as well as increased requirements for the speed, reliability and efficiency of information processing. The spread of mobile communications, cloud services, the Internet of Things and digital platforms leads to the formation of complex telecommunication systems that operate in conditions of significant data flows and require the use of modern methods of analysis and optimization. In such conditions, mathematical modeling plays an important role, which allows formalizing the processes of information transmission, processing and storage, investigating the behavior of complex network structures and predicting the efficiency of their functioning. The article considers the features of the application of mathematical modeling for the study of telecommunication systems in the environment of big data. The main approaches to building mathematical models of telecommunication networks are analyzed, in particular graph models, models of queuing systems and stochastic models of information flows. Particular attention is paid to the issues of optimizing data routing processes, load balancing between network nodes, and increasing the efficiency of using communication channel bandwidth. The possibilities of using mathematical optimization methods to increase the productivity of telecommunications infrastructure and ensure the stability of its functioning are investigated. An approach to optimizing the processes of processing large information flows based on the use of optimization algorithms and distributed computing technologies is proposed. It is shown that the integration of mathematical models with big data processing technologies allows reducing information transmission delays, reducing the level of packet loss and increasing the efficiency of information flow management in telecommunications systems. The results obtained can be used when designing modern telecommunications networks, data centers and information platforms, as well as to increase the efficiency of the functioning of the digital economy infrastructure.

Keywords: telecommunication systems, network optimization, information processing, mathematical modeling, information flows.