A very large-scale traffic network modeling based on the integration of the Bi-dimensional and the GSOM Traffic Flow models

A continuum traffic modeling is proposed to be applicable in very large and dense networks, requiring a large volume of information difficult to recover and process. The aim of this paper is to merge both macroscopic models: bi-dimensional model (BIDIM) with the GSOM (Generic Second Order) model in order to overcome the missing data for large networks and to benefit from the advantages of each model. As well, the major advantage of the proposed approach is to reproduce a detailed description of traffic dynamics for the main arteries using the GSOM model. Indeed, the bi-dimensional model allows the simulation of areas where the measurements are missing or incomplete. The method consists in proposing an interface node model ensures the exchange between the BIDIM and the GSOM traffic models. The exchange between arteries of the GSOM model and cells edges of the bi-dimensional is assumed through the supply and demand concept.Moreover, the simulation is carried out using Godunov scheme and finite volume method. The dynamic of the developed simulation model reproduces the propagation of the congestion between both models. Applied to a synthetic network, the output results are very promising.