Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models

By A. Aw, Axel Klar, Michel Rascle, T. Materne. SIAM Journal on Applied Mathematics, 2002

313 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Ocean Engineering, Transportation

View Paper: https://www.semanticscholar.org/paper/6cb5712fcebac692a31bf2efe70799d589976283

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In Control and Systems Engineering

In Ocean Engineering

In Transportation

Citations in the corpus

Traffic Flow on a Road Network Using the Aw–Rascle Model (2006, background): “Fluid dynamic models for traffic flow seem appropriate to describe phenomena as shock formation and propagation (see Aw et al., 2002; Aw and Rascle, 2000; Benzoni-Gavage and Colombo, 2003; Coclite et al., 2005; Colombo, 2002; Greenberg, 2001; Helbing, 1998; Helbing et al., 2002; Holden and Risebro,…”
On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives (2011, methodology): “This aspect should possibly also refer, as in the case of multicellular systems, to the derivation of macroscopic equations from the underlying microscopic description [5], [12], [41].”
Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model (2010, methodology): “The derivation of the model from a microscopic Follow-the-Leader (FL) model through a scaling limit was given in [2].”
A Model for the Formation and Evolution of Traffic Jams (2008, methodology): “In [1], a derivation of this model from a microscopic Follow-the-Leader (FL) model through a scaling limit is given.”
Online Incremental Machine Learning Platform for Big Data-Driven Smart Traffic Management (2019, methodology): “In legacy approaches, traffic flow is measured from several reference points and then extrapolated to determine the traffic flow of the road network based on the density flow theories of hydrodynamics [13]–[16].”
Large Scale Dynamics of the Persistent Turning Walker Model of Fish Behavior (2007, background): “More recently, the derivation of macroscopic models from microscopic behavior has been very productive in other context like traffic [4,33] or supply-chains [3].”
Implicit-explicit runge-kutta schemes and applications to hyperbolic systems with relaxation (2010, unknown): “In our numerical results we assume A = 1 and an equilibrium velocity V (ρ) fitting to experimental data [7] V (ρ) = vm π/2 + arctan (”
Continuum limit of self-driven particles with orientation interaction (2007, background): “Hydrodynamic limits have been recently investigated in traffic flow modeling [4, 20] as well as in supply chain research [3, 14].”
Traffic state estimation on highway: A comprehensive survey (2017, background): “Similar topics for other traffic flow models have also been discussed (Aw et al., 2002; Jin, 2016).”