An Optimization Model for Urban Traffic Management with Additional Constraints

The modeling the traffic dynamics in urban areas is mainly based on the so-called “store-and-forward” model. This model was used to model the number of vehicles on the streets of a network of four intersections. The nonlinear optimization model has variables green light duration and number of vehicles in front of the traffic light. The constraints of the optimization problem consist of a store-and-forward model that formalizes the number of vehicles in the street section. But store-and-forward modelling does not provide adequate modeling for the real traffic behavior. In this paper, the optimization model is modified to be closer to the real traffic dynamics. The solutions of the classic store-and forward model and the modified ones are compared and graphically illustrated and commented.