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Kinetic theory of vehicular traffic
TLDR
A theory of multi-LANE traffic flow and the space-time evolution of thevelocity distribution of cars are examined to help understand the role of driver behaviour and strategy in this network.Abstract:
THE THEORY OF MULTIPLE-LANE TRAFFIC FLOW IS EXAMINED. A PREDICTION OF THE CHARACTER OF THE TRAFFIC FLOW IS MADE AT ARBITARY DENSITY IN TERMS OF DRIVER BEHAVIOR IN DILUTE, NONINTERACTING TRAFFIC, AND A KINETIC EQUATION IS DERIVED TO DESCRIBE THE SPACE-TIME EVOLUTION OF THE VELOCITY DISTRIBUTION OF CARS. THE ANALOGIES THAT EXIST BETWEEN STATISTICAL PHYSICS AND TRAFFIC HAVE BEEN EMPLOYED IN DEVELOPING A VIABLE THEORY. THE PROBLEM IS FORMULATED AND THE THEORY IS DEVELOPED TO A POINT WHERE THE MEETING OF THEORETICAL CONCEPTS WITH EXPERIMENTAL OBSERVATIONS WILL BE FRUITFUL. /AUTHOR/read more
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Social Force Model for Pedestrian Dynamics
Dirk Helbing,Péter Molnár +1 more
TL;DR: Computer simulations of crowds of interacting pedestrians show that the social force model is capable of describing the self-organization of several observed collective effects of pedestrian behavior very realistically.
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Traffic and related self-driven many-particle systems
Dirk Helbing,Dirk Helbing +1 more
TL;DR: This article considers the empirical data and then reviews the main approaches to modeling pedestrian and vehicle traffic, including microscopic (particle-based), mesoscopic (gas-kinetic), and macroscopic (fluid-dynamic) models.
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Statistical physics of vehicular traffic and some related systems
TL;DR: In this paper, a critical review of particle-hopping models of vehicular traffic is presented, focusing on the results obtained mainly from the so-called "particle hopping" models, particularly emphasizing those formulated in recent years using the language of cellular automata.
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Resurrection of “second order” models of traffic flow
TL;DR: A new "second order" model of traffic flow is introduced, which replaces the space derivative with a convective derivative and nicely predicts instabilities near the vacuum, i.e., for very light traffic.
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Generalized force model of traffic dynamics
Dirk Helbing,Benno Tilch +1 more
TL;DR: Floating car data of car-following behavior in cities were compared to existing microsimulation models, after their parameters had been calibrated to the experimental data and good results were obtained with the proposed generalized force model.