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Kinetic Theory of Vehicular Traffic

https://doi.org/10.1109/tsmc.1972.4309114

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Interpolated variational iteration method for solving the jamming transition problem

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Modelling complex systems in applied sciences; methods and tools of the mathematical kinetic theory for active particles

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On the discrete kinetic theory for active particles. Mathematical tools

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Crowd dynamics on a moving platform: Mathematical modelling and application to lively footbridges

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Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity

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On the kinetic and stochastic games theory for active particles: Some reasonings on open large living systems

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Critical analysis and perspectives on the hydrodynamic approach for the mathematical theory of vehicular traffic

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On the modelling of space dynamics in the kinetic theory for active particles

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Some theoretical reasonings on the use and abuse of empirical data for vehicular traffic modelling

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Traffic viscosity due to speed variation: Modeling and implications

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On the mathematical theory of living systems, I: Complexity analysis and representation

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

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Macroscopic modelling and analysis of flows during rush-hour congestion

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Three-phase traffic theory and highway capacity

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The traffic flow controlled by the traffic lights in the speed gradient continuum model

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Cellular automata models of highway traffic

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Discontinuous transition from free flow to synchronized flow induced by short-range interaction between vehicles in a three-phase traffic flow model

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Criticism of generally accepted fundamentals and methodologies of traffic and transportation theory: A brief review

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Optimization strategy for and structural properties of traffic efficiency under bounded information accessibility

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Failure of classical traffic flow theories: Stochastic highway capacity and automatic driving

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Phase diagram for one-way traffic flow with local control

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Travel times, rational queueing and the macroscopic fundamental diagram of traffic flow

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Two-lane traffic flow model based on regular hexagonal cells with realistic lane changing behavior

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The vehicle length effect on the traffic flow fundamental diagram

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The knowledge domain of crowd dynamics: Anatomy of the field, pioneering studies, temporal trends, influential entities and outside-domain impact

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A data-driven two-lane traffic flow model based on cellular automata

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Analysis of the macroscopic effect of a driver’s desired velocity on traffic flow characteristics

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Nonlinear dynamics of traffic jams

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Intermittent unstable structures induced by incessant constant disturbances in the full velocity difference car-following model

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