Navigation System-Based Routing Strategies in Traffic Flows on Networks

Adriano Festa (), Paola Goatin () and Fabio Vicini ()
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Adriano Festa: Politecnico di Torino
Paola Goatin: Université Côte d’Azur, Inria, CNRS, LJAD, Sophia Antipolis
Fabio Vicini: Politecnico di Torino

Journal of Optimization Theory and Applications, 2023, vol. 198, issue 3, No 3, 930-957

Abstract: Abstract Navigation choices play an important role in modeling and forecasting traffic flows on road networks. We introduce a macroscopic differential model coupling a conservation law with a Hamilton–Jacobi equation to, respectively, model the nonlinear transportation process and the strategic choices of users. Furthermore, the model is adapted to the multi-population case, where every population differs in the level of traffic information about the system.

Keywords: Traffic flows; Controlled systems; Macroscopic models; Road networks; 90B20; 93C95; 94C60 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10957-023-02250-z

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