On the coupling of steady and adaptive velocity grids in vehicular traffic modelling

DOI10.1016/j.aml.2010.08.035zbMath1201.90050OpenAlexW1977260306MaRDI QIDQ609976

Carlo Bianca, Vincenzo Coscia

Publication date: 1 December 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.08.035

zbMATH Keywords

kinetic theorydiscrete velocity modelstraffic modellingtrend to equilibrium

Mathematics Subject Classification ID

Traffic problems in operations research (90B20)

Related Items (9)

TOWARDS THE MODELING OF VEHICULAR TRAFFIC AS A COMPLEX SYSTEM: A KINETIC THEORY APPROACH ⋮ Onset of nonlinearity in thermostatted active particles models for complex systems ⋮ Asymptotic limits of a discrete kinetic theory model of vehicular traffic ⋮ On the modeling of crowd dynamics: an overview and research perspectives ⋮ Global solution to the Cauchy problem for discrete velocity models of vehicular traffic ⋮ Train flow chaos analysis based on an improved cellular automata model ⋮ Modeling complex systems with particles refuge by thermostatted kinetic theory methods ⋮ High-order moments conservation in thermostatted kinetic models ⋮ Space-velocity thermostatted kinetic theory model of tumor growth

Cites Work

• On the mathematical theory of vehicular traffic flow. II: Discrete velocity kinetic models
• On a closure of mass conservation equation and stability analysis in the mathematical theory of vehicular traffic flow
• First-order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow
• A model for the formation and evolution of traffic jams
• Mathematical models for vehicular traffic
• On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives
• TRAFFIC, CROWDS, AND SWARMS
• A TRAFFIC-FLOW MODEL WITH CONSTRAINTS FOR THE MODELING OF TRAFFIC JAMS
• GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS
• Resurrection of "Second Order" Models of Traffic Flow
• MATHEMATICAL MODELING OF VEHICULAR TRAFFIC: A DISCRETE KINETIC THEORY APPROACH

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