Modeling Multi-Lane Traffic Flow with Queuing Effects

Details Modeling Multi-Lane Traffic Flow with Queuing Effects Modeling Multi-Lane Traffic Flow with Queuing Effects

1998-06-03

arxiv.org/abs/cond-mat/9806050v1

Physica A 242, 175-194 (1997)

Physics

Condensed Matter

Statistical Mechanics

For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html

Scientific paper

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.

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