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arXiv · 1703.09803

On the Braess Paradox with Nonlinear Dynamics and Control Theory

Rinaldo M. Colombo·Helge Holden
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Abstract

We show the existence of the Braess paradox for a traffic network with nonlinear dynamics described by the Lighthill-Whitham-Richards model for traffic flow. Furthermore, we show how one can employ control theory to avoid the paradox. The paper offers a general framework applicable to time-independent, uncongested flow on networks. These ideas are illustrated through examples.

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Rinaldo M. Colombo, Helge Holden. 2017-03-27. On the Braess Paradox with Nonlinear Dynamics and Control Theory. https://doi.org/10.1007/s10957-015-0729-5

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