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On traffic modeling and the Braess paradox

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NWW - Nonlinear water waves

We will discuss models for vehicular traffic flow on networks. The models include both the Lighthill-Whitham-Richards (LWR) model and Follow-the-Leader (FtL) models. The emphasis will be on the Braess paradox in which adding a road to a traffic network can make travel times worse for all drivers. In addition we will present a novel proof how FtL models approximate the LWR model in case of heavy traffic



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