Multi-class fundamental diagrams from the Prigogine-Herman-Boltzmann equation

Our aim in this paper is to establish a theoretical fundamental diagram for a multi-class traffic flow from a gas-kinetic-like traffic model. We start with a multi-class generalization of the Prigogine-Herman-Boltzmann equation to construct the fundamental relation for this system. We show that ther...

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Bibliographic Details
Published inPhysica scripta Vol. 94; no. 11; pp. 115008 - 115013
Main Authors Méndez, A R, Marques, W, Velasco, R M
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.11.2019
Subjects
kinetic theory
multi-class models
traffic flow
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Summary:Our aim in this paper is to establish a theoretical fundamental diagram for a multi-class traffic flow from a gas-kinetic-like traffic model. We start with a multi-class generalization of the Prigogine-Herman-Boltzmann equation to construct the fundamental relation for this system. We show that there exists a critical density which depends on the relative concentration of slow and fast users and describe a procedure to find the threshold value. Finally, our flow-density relation for a two-class mixture of vehicles is contrasted with empirical data in the literature.
Bibliography:PHYSSCR-108046
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ab241e