A Mathematical Model for Urban Traffic and Traffic Optimization Using a Developed ICA Technique

This paper proposes a mathematical model for the traffic of metropolises, which can further be optimized to efficiently control the traffic. This model takes into account all the parameters that can have an effect on the traffic, e.g., escape rates (ERs) of intersections and paths. Moreover, to optimize the proposed model, the imperialist competitive algorithm (ICA) is used. It will be shown that the optimization of the mathematical model proposed in this paper for urban traffic not only reduces the traffic but prevents any kind of traffic standstill in the city as well. In addition, this method uniformly distributes the traffic in the city so that the maximum potential of the city´s infrastructure can be used. This model makes it possible to reduce the number of cars in the under-construction streets through a manual change in a coefficient called the ER. Finally, the mathematical model is simulated and analyzed for two cities with nine and 18 intersections using non-real-time and real-time simulations. These simulations are carried out on software developed in accordance with the optimization presented in this paper .(http://tinyurl.com/TSBVK). The results obtained from the simulations demonstrate that the model proposed is appropriate for traffic control and is flexible enough to be expanded for all kinds of infrastructure.