Traffic Flow Analysis and Traffic Light Control Based on Mathematical Modeling

Traffic congestion is an escalating issue in modern cities, which impacts the quality of life, economic productivity, and causes unnecessary harm to the environment. As urbanization moves on, the increasing traffic flow makes traditional management methods using fixed green light duration struggle to cope. Mathematical modeling and computer simulation act as effective tools for analyzing and optimizing traffic light controlling systems. This study focuses on using these techniques to explore traffic flow behavior and propose model-based optimization strategies. In addition to the Nagel-Schreckenberg (NaSch) model, the author incorporates a signal-vehicle interaction mechanism to better represent the realistic urban traffic conditions. The extended model is validated through computer simulations, and the result demonstrates its capability to simulate the effects of traffic signals on vehicle movement and congestion. Moreover, this study explores the optimization of traffic light control strategies based on this extended model. Simulation results indicate that the extended model can effectively boost the efficiency of the traffic system and facilitate the development of more efficient signal control schemes. This model also offers a technical reference for the intelligent and meticulous management of urban traffic signal systems.