An ODE traffic network model

DOI10.1016/j.cam.2006.04.007zbMath1137.90347OpenAlexW2027891380MaRDI QIDQ880201

Axel Klar, Michael Herty, Anita K. Singh

Publication date: 11 May 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.04.007

zbMATH Keywords

network modelstraffic flowadjoint calculus

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Traffic problems in operations research (90B20)

Related Items (2)

A route-based traffic flow model accounting for interruption factors ⋮ Optimal packing of material flow on conveyor belts

Uses Software

• PLCP
• LBFGS-B

Cites Work

• Vlasov-Fokker-Planck models for multilane traffic flow
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• Global Convergence of a Class of Trust Region Algorithms for Optimization with Simple Bounds
• Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic
• Projected Newton Methods for Optimization Problems with Simple Constraints
• A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
• A Limited Memory Algorithm for Bound Constrained Optimization
• Resurrection of "Second Order" Models of Traffic Flow
• SIMPLIFIED DYNAMICS AND OPTIMIZATION OF LARGE SCALE TRAFFIC NETWORKS
• Traffic Flow on a Road Network
• On kinematic waves II. A theory of traffic flow on long crowded roads
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