A traffic model aware of real time data

DOI10.1142/S0218202516500081zbMath1339.35176arXiv1411.2251OpenAlexW165436155MaRDI QIDQ2788742

Francesca Marcellini, Rinaldo M. Colombo

Publication date: 22 February 2016

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2251

zbMATH Keywords

existenceuniquenessLighthill-Whitham-Richards modelmacroscopic traffic modelsKruzhkov entropy solutions

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

Related Items (6)

Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results ⋮ On the Microscopic Modeling of Vehicular Traffic on General Networks ⋮ ODE-PDE models in traffic flow dynamics ⋮ The follow-the-leader model without a leader: an infinite-dimensional Cauchy problem ⋮ Two algorithms for a fully coupled and consistently macroscopic PDE-ODE system modeling a moving bottleneck on a road ⋮ Estimate of traffic emissions through multiscale second order models with heterogeneous data

Cites Work

• ODE-PDE models in traffic flow dynamics
• Erratum to: Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux
• Flows on networks: recent results and perspectives
• COUPLING OF MICROSCOPIC AND MACROSCOPIC TRAFFIC MODELS AT BOUNDARIES
• A Traffic Model for Velocity Data Assimilation
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