Multi-class fundamental diagrams from the Prigogine-Herman-Boltzmann equation
Statistical Mechanics
2019-09-04 v1 Applied Physics
Physics and Society
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.
Keywords
Cite
@article{arxiv.1902.06814,
title = {Multi-class fundamental diagrams from the Prigogine-Herman-Boltzmann equation},
author = {A. R. Mendez and W. Marques and R. M. Velasco},
journal= {arXiv preprint arXiv:1902.06814},
year = {2019}
}