Modeling Multi-Lane Traffic Flow with Queuing Effects
Abstract
On the basis of assumptions about the behavior of driver-vehicle units concerning acceleration, deceleration, overtaking, and lane-changing maneuvers, a gas-kinetic traffic model for uni-directional multi-lane freeways is constructed. Queuing effects are explicitly taken into account in an overall manner. The resulting model is a generalization of Paveri-Fontana's Boltzmann-like traffic model and allows the derivation of macroscopic traffic equations for interacting lanes, including velocity equations. The related effective macroscopic traffic model for the total freeway cross-section is also derived. It provides corrections with respect to previous traffic models, but agrees with them in special cases.
Cite
@article{arxiv.cond-mat/9806050,
title = {Modeling Multi-Lane Traffic Flow with Queuing Effects},
author = {Dirk Helbing},
journal= {arXiv preprint arXiv:cond-mat/9806050},
year = {2015}
}
Comments
For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html