Математичне моделювання транспортних потоків у розумному місті

Abstract

In modern cities, traffic congestion, pollution, and inefficient resource usage are significant challenges. The concept of "Smart City" addresses these issues by leveraging digital technologies, artificial intelligence, and data analytics to enhance the quality of life, optimize infrastructure, and improve city resource management. This paper discusses a mathematical model for analyzing traffic flows and optimizing traffic lights using Gaussian elimination methods. A system of linear equations is constructed to model the traffic flow at intersections, with a goal of minimizing congestion.