Efficient Traffic Control Using Graph Theory: A Comprehensive Overview and Application

Abstract

The use of graph theory in the area of traffic control is presented in-depth in this article. Urban transport networks have recurring difficulties with congestion, safety, and traffic efficiency. Graph theory offers a methodical and practical solution to these issues. We examine the fundamental ideas of graph theory in further detail, including its applicability to transportation networks and the many kinds of graphs that are employed in traffic control, including their static and dynamic performance. The article shows how graphical algorithms may be used to improve traffic management, including the shortest path method, flow optimisation, and traffic light synchronisation. Furthermore, we show the usefulness of graph theory in smart city traffic light synchronisation, public transit routing, incident management, and ITS integration through case studies and real-world applications. Data collecting, scalability, and the influence of autonomous cars are just a few of the difficulties and future trends in this sector that are highlighted. In conclusion, this study emphasises the crucial part that graph theory plays in raising transportation efficiency and safety. Its incorporation into traffic control systems holds the possibility of creating more flexible and responsive transport networks, enhancing urban sustainability.