The traffic includes several factors, including the geometry of the road infrastructure, driver behavior, the diversity of vehicle flow, etc ... The situations faced by network operators depend on the type of road network under their charge. This complexity has made traffic a research area of growing interest ever since the first studies that gave rise to the LWR model in the mid-fifties.To model the traffic on a road network, two approaches are complementary to each other are needed. The first is the flow modeling for describing the evolution of traffic flows on a stretch of road and the assignment that describes how users choose their route on a network. The purpose of this thesis work is to contribute to the improvement of the modeling of traffic flows, focusing in primarily on the modeling of a motorway traffic consists of two classes of vehicles: passenger cars and buses. The numerical study of the model is done by adapting the cell transmission model of Daganzo. An estimator for densities and speeds of the mixed traffic on a stretch of road have been submitted. Stability results in the different regimes of trafficking have been established. In the second place on the modeling of a multimodal urban traffic consists of three classes of vehicles: for the two classes mentioned above, is part a new class of high-level bus service class BRT, that tends to spread to urban and suburban which is seen as a solution to many problems related to traffic by the operators of route. We propose two models for the BRT and we develop a control strategie of this system of urban tranport trimodal (cars, buses and BRT). The purpose of the regulation of this strategy is twofold, to ensure the flow of traffic in general and respect for the positions references for the BRT mode. The architecture is based on the control of closed loop systems and uses the generalized predictive control. We have proposed a hybrid model of traffic based on the coupling of a generic second order macroscopic model and a microscopic model in Lagrangian coordinates. To validate the correct transmission of information through the coupling scheme, we have studied the spread and the rise of a congestion.
Modelling and control of a multimodal traffic system