Continuous Riemann solvers for traffic flow at a junction

DOI10.3934/dcds.2015.35.4149zbMath1332.35371OpenAlexW2312300770WikidataQ59263843 ScholiaQ59263843MaRDI QIDQ255819

Fang Yu, Alberto Bressan

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.4149

zbMATH Keywords

network of roadsRiemann solverstraffic flow

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) PDEs in connection with control and optimization (35Q93)

Related Items (10)

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 ⋮ Treating network junctions in finite volume solution of transient gas flow models ⋮ 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 ⋮ Globally optimal departure rates for several groups of drivers ⋮ Analysis of wave interaction and its applications of traffic flow model with variable lane width ⋮ Conservation law models for traffic flow on a network of roads

Cites Work

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• Polygonal approximations of solutions of the initial value problem for a conservation law
• Uniqueness for discontinuous ODE and conservation laws
• A Hamilton-Jacobi approach to junction problems and application to traffic flows
• Traffic Flow on a Road Network
• Shock Waves on the Highway
• On kinematic waves II. A theory of traffic flow on long crowded roads

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