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 unidirectional 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 free-way cross-section is also derived. It provides corrections with respect to previous traffic models, but agrees with them in special cases.
Physica A Statistical Mechanics and its Applications
- Pub Date:
- February 1997
- Condensed Matter - Statistical Mechanics
- For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html