COUPLING OF MICROSCOPIC AND MACROSCOPIC TRAFFIC MODELS AT BOUNDARIES

DOI10.1142/S0218202510004945zbMath1215.35103OpenAlexW2155889970MaRDI QIDQ3070052

Corrado Lattanzia, Benedetto Piccoli

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1142/s0218202510004945

zbMATH Keywords

initial boundary value problemsinterface conditionsAw-Rascle-Zhang modelboundary couplingfollow the leader modelfluid dynamic traffic flow models

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

Related Items

A brief introduction to distributed systems, Boundary coupling of microscopic and first order macroscopic traffic models, Free-congested and micro-macro descriptions of traffic flow, On the Microscopic Modeling of Vehicular Traffic on General Networks, The follow-the-leader model without a leader: an infinite-dimensional Cauchy problem, A traffic model aware of real time data, Estimate of traffic emissions through multiscale second order models with heterogeneous data, COUPLING OF LIGHTHILL–WHITHAM–RICHARDS AND PHASE TRANSITION MODELS, A mixed ODE–PDE model for vehicular traffic

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