A Mathematical Model to Regulate Roads Traffic in Order to Decongest the Urban Areas of Constantine City

The most critical phenomenon in the road traffic is the congestion. Although the technical and technological progress realized by the humans in all domains. The road traffic remains a victim of increasing congestion when demand exceeds the capacity of the road infrastructure. In this case, the vehicle will slow down to the entrance of the road infrastructure, thereby forming a bottling in traffic. In the present work, the first step is to considering the different variables that characterize the progressive movement of vehicles on a road. In the aim to give a mathematical formulation which links the number of vehicles present at time "T" over a length "L" of the road. This enabled us to develop a mathematical model to regulate the traffic speed in real time. To validate the model, a real application is presented, who treat the congestion problem in Constantine city.