An optimal control problem of traffic flow on a junction
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Publication:6652885
DOI10.1051/cocv/2024077MaRDI QIDQ6652885
Pierre Cardaliaguet, Panagiotis E. Souganidis
Publication date: 13 December 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)
optimal control of partial differential equationconservation law on a junctionHamilton-Jacobi equation on a junction
Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Existence theories for optimal control problems involving partial differential equations (49J20) Hamilton-Jacobi equations (35F21)
Cites Work
- Viscosity solutions for junctions: well posedness and stability
- Existence of optima and equilibria for traffic flow on networks
- A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux
- Optima and equilibria for traffic flow on networks with backward propagating queues
- Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions
- Minimising stop and go waves to optimise traffic flow.
- Control problems for conservation laws with traffic applications. Modeling, analysis, and numerical methods
- Flows on networks: recent results and perspectives
- Optimal control for traffic flow networks
- On the modelling and management of traffic
- Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks
- Optima and Equilibria for a Model of Traffic Flow
- Modeling, Simulation, and Optimization of Traffic Flow Networks
- On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls
- Nash equilibria for a model of traffic flow with several groups of drivers
- A Hamilton-Jacobi approach to junction problems and application to traffic flows
- Boundary Control Design for Traffic With Nonlinear Dynamics
- Hamilton–Jacobi equations for optimal control on junctions and networks
- OPTIMIZATION OF TRAFFIC ON ROAD NETWORKS
- Control of multi-agent systems: results, open problems, and applications
- On modern approaches of Hamilton-Jacobi equations and control problems with discontinuities. A guide to theory, applications, and some open problems
- Conservation laws and Hamilton-Jacobi equations on a junction: the convex case
- A class of germs arising from homogenization in traffic flow on junctions
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