Macroscopic traffic flow model

Modeling Basics

Published in Michael Muhlmeyer, Shaurya Agarwal, Information Spread in a Social Media Age, 2021

The macroscopic traffic flow model formulates the relationship among the key traffic flow parameters. The famous LWR (Lighthill-Whitham-Richards) model was proposed in 1956. It is a one-dimensional macroscopic traffic model named after the authors [55][56]. The following equation gives the dynamics of traffic flow using the LWR model: ∂∂tρ(t,x)+∂∂xf(t,x)=0

IMM/EKF filter based classification of real-time freeway video traffic without learning

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Journal Information

Published in Transportation Letters, 2022

Asmâa Ouessai, Mokhtar Keche

To describe the dynamic behavior of the traffic flow in a given freeway section of the road, we developed a multi-regime second-order macroscopic traffic flow model, based on the macroscopic model described by Wang and Papageorgiou in (Wang and Papageorgiou 2003, 2005). In this model, the freeway is divided into a number of sections, with the length of section i denoted. The time discretization is based on a model time step, denoted T. The aggregated traffic parameters evolve according to the following equations [4] (Wang and Papageorgiou 2005):

Macroscopic traffic flow model

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Modeling Basics

IMM/EKF filter based classification of real-time freeway video traffic without learning