Development of a Mathematical Model to Improve the Efficiency of Telecommunication Networks

The article addresses the problem of traffic management optimization in telecommunication networks. A mathematical model is presented that enhances the efficiency of network resource utilization, reduces data transmission delays, and minimizes packet loss probability. The study is based on an analysis of networks in the United States and Ukraine, allowing for a comparative assessment of traffic management approaches in different regions. The proposed model employs methods of optimal resource allocation, load balancing, and adaptive routing control [1,2]. To validate the effectiveness of the approach, simulation experiments were conducted using real network load data. The analysis demonstrated that the implementation of modern technologies, particularly Software-Defined Networking (SDN), significantly improves service quality and enables flexible network management [9,10]. A comparative analysis of USA and Ukrainian telecommunication networks highlights differences in modernization strategies: while SDN solutions are actively adopted in the USA, Ukraine primarily focuses on upgrading traditional infrastructure. The proposed model can be adapted to various operational conditions and integrated with modern technologies to enhance network performance. Future research prospects include extending the model to account for cybersecurity parameters, utilizing machine learning methods for adaptive traffic management, and implementing the proposed solutions in real operator networks.