SIMPLIFIED DYNAMICS AND OPTIMIZATION OF LARGE SCALE TRAFFIC NETWORKS

DOI10.1142/S0218202504003362zbMath1077.90012OpenAlexW2120303141MaRDI QIDQ5315594

Axel Klar, Michael Herty

Publication date: 9 September 2005

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

Full work available at URL: https://doi.org/10.1142/s0218202504003362

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (9)

On the velocity distribution at equilibrium in the mathematical theory of vehicular traffic flow ⋮ Smoothed penalty algorithms for optimization of nonlinear models ⋮ An ODE traffic network model ⋮ Sensitivity analysis of permeability parameters for flows on Barcelona networks ⋮ Efficient robust control of first order scalar conservation laws using semi-analytical solutions ⋮ Optimization for a special class of traffic flow models: combinatorial and continuous approaches ⋮ Modelling complex systems in applied sciences; methods and tools of the mathematical kinetic theory for active particles ⋮ The Aw-Rascle vehicular traffic flow model with phase transitions ⋮ From experiments to hydrodynamic traffic flow models. II: Sensitivity analysis

Uses Software

• L-BFGS-B
• L-BFGS

Cites Work

• Unnamed Item
• Representations of quasi-Newton matrices and their use in limited memory methods
• Polygonal approximations of solutions of the initial value problem for a conservation law
• Extensions and Amplifications of a Traffic Model of Aw and Rascle
• First order quasilinear equations with boundary conditions
• A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions
• Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic
• Hyperbolic Phase Transitions in Traffic Flow
• ON THE MATHEMATICAL THEORY OF VEHICULAR TRAFFIC FLOW I: FLUID DYNAMIC AND KINETIC MODELLING
• A Limited Memory Algorithm for Bound Constrained Optimization
• Resurrection of "Second Order" Models of Traffic Flow
• On kinematic waves I. Flood movement in long rivers

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