A study on multi-resolution scheme of macroscopic-microscopic traffic simulation model

Abstract

Multi-Resolution traffic flow schemes, coupling a microscopic (vehicle based), mesoscopic (cell based) and macroscopic (flow based) representations of traffic flow may be a useful tool to better understand and utilize the relationships between the various types of representation. The paper proposes a new classification of traffic model which is according to the representation scale and the behavioural law firstly. In addition, it shows that the LWR model which is a macroscopic continuum model can be numerically solved in Weighted Essentially Non-Oscillatory (WENO) scheme. Furthermore, the paper mainly studies the hybrid scheme which can couple a macroscopic model (LWR) and a microscopic model (Wiedemann). Simple transformation methods are analyzed to translate the variables parameters between both models. Finally, simulation results show that two shock waves (stopping-starting wave) can propagate along two models differently described. The hybrid scheme can keep the result consistency between the both models.