Conservation law models for traffic flow on a network of roads

DOI10.3934/nhm.2015.10.255zbMath1335.49035OpenAlexW2069329869WikidataQ59263841 ScholiaQ59263841MaRDI QIDQ258484

Khai T. Nguyen, Alberto Bressan

Publication date: 10 March 2016

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2015.10.255

zbMATH Keywords

queuesHamilton-Jacobi equationsvariational problemsLax-type formularoad networkscalar conservation lawstraffic flows

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Queues and service in operations research (90B22) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

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Nonlocal Scalar Conservation Laws on Bounded Domains and Applications in Traffic Flow, The Riemann solver for traffic flow at an intersection with buffer of vanishing size, New Regularity Results for Scalar Conservation Laws, and Applications to a Source-Destination Model for Traffic Flows on Networks, Optima and equilibria for traffic flow on networks with backward propagating queues, A destination-preserving model for simulating Wardrop equilibria in traffic flow on networks, Error estimates for a finite difference scheme associated with Hamilton-Jacobi equations on a junction, Modeling and numerical simulations of multilane vehicular traffic by active particles methods, Interaction of elementary waves for the Aw-Rascle traffic flow model with variable Lane width, On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls, Time-Continuous Instantaneous and Past Memory Routing on Traffic Networks: A Mathematical Analysis on the Basis of the Link-Delay Model, Globally optimal departure rates for several groups of drivers, Continuous Riemann solvers for traffic flow at a junction

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