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arXiv · 1902.06814

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

A. R. Mendez·W. Marques Jr.·R. M. Velasco
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Abstract

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.

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A. R. Mendez, W. Marques Jr., R. M. Velasco. 2019-02-14. Multi-class fundamental diagrams from the Prigogine-Herman-Boltzmann equation. https://doi.org/10.1088/1402-4896%2Fab241e

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