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Hydrodynamic traffic flow models including random accidents: A kinetic derivation - MaRDI portal

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Hydrodynamic traffic flow models including random accidents: A kinetic derivation

From MaRDI portal
Publication:6510074

DOI10.4310/CMS.2024.V22.N3.A10arXiv2305.07042MaRDI QIDQ6510074

Author name not available (Why is that?)


Abstract: We present a kinetic derivation of a second order macroscopic traffic model from a stochastic particle model. The macroscopic model is given by a system of hyperbolic partial differential equations (PDEs) with a discontinuous flux function, in which the traffic density and the headway are the averaged quantities. A numerical study illustrates the performance of the second order model compared to the particle approach. We also analyse numerically uncertain traffic accidents by considering statistical measures of the solution to the PDEs.





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