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Modeling Multi-Lane Traffic Flow with Queuing Effects

Dirk Helbing
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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.

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Dirk Helbing. 1998-06-03. Modeling Multi-Lane Traffic Flow with Queuing Effects. https://doi.org/10.1016/s0378-4371(97)00183-0

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