A review of mathematical models for the flow of traffic and some recent results

DOI10.1016/j.na.2008.02.123zbMath1151.90324OpenAlexW2022977793WikidataQ125133235 ScholiaQ125133235MaRDI QIDQ943723

B. E. Eshmatov

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.123

zbMATH Keywords

dynamical systemdensitycongestionintelligent transportation systemmacroscopic modelsmicroscopic models

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06)

Related Items (6)

TOWARDS THE MODELING OF VEHICULAR TRAFFIC AS A COMPLEX SYSTEM: A KINETIC THEORY APPROACH ⋮ A new higher-order viscous continuum traffic flow model considering driver memory in the era of autonomous and connected vehicles ⋮ Implementation of the vehicular occupancy-emission relation using a cubic B-splines collocation method ⋮ Lattice hydrodynamic model based delay feedback control of vehicular traffic flow considering the effects of density change rate difference ⋮ Preface ⋮ Non-lane-discipline-based car-following model considering the effects of two-sided lateral gaps

Cites Work

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• From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
• Applications of automatic control concepts to traffic flow modeling and control
• A dynamical systems approach based on averaging to model the macroscopic flow of freeway traffic
• Car-Following and Steady-State Theory for Noncongested Traffic
• LIMIT OF A COLLECTION OF DYNAMICAL SYSTEMS: AN APPLICATION TO MODELING THE FLOW OF TRAFFIC
• Mathematical Models for Freely-Flowing Highway Traffic
• Shock Waves on the Highway
• Car-Following Theory of Steady-State Traffic Flow
• Nonlinear Effects in the Dynamics of Car Following
• A Boltzmann-Like Approach for Traffic Flow
• On kinematic waves II. A theory of traffic flow on long crowded roads

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