A PDE-ODE Model for a Junction with Ramp Buffer

DOI10.1137/130908993zbMath1292.90077OpenAlexW2018887357MaRDI QIDQ5418050

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Publication date: 26 May 2014

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130908993

zbMATH Keywords

Riemann problemscalar conservation lawsmacroscopic traffic flow modelsPDE-ODE systems

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

Related Items (7)

Nonlocal reaction traffic flow model with on-off ramps ⋮ Traffic flow optimization on roundabouts ⋮ Capacity drop and traffic control for a second order traffic model ⋮ A combined first and second order model for a junction with ramp buffer ⋮ Adjoint-based optimization on a network of discretized scalar conservation laws with applications to coordinated ramp metering ⋮ Stability of Abstract Interconnected Systems with a Possibly Unstable Component ⋮ On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls

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