Fundamentals of Traffic Flow

Abstract

From single vehicle data a number of new empirical results concerning the density-dependence of the velocity distribution and its moments as well as the characteristics of their temporal fluctuations have been determined. These are utilized for the specification of some fundamental relations of traffic flow and compared with existing traffic theories.

For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html

References in corpus (3)

• Gas-kinetic derivation of Navier-Stokes-like traffic equations
• Derivation and Empirical Validation of a Refined Traffic Flow Model
• Empirical Traffic Data and Their Implications for Traffic Modeling

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• Dynamic States of a Continuum Traffic Equation with On-Ramp
• Macroscopic Dynamics of Multi-Lane Traffic
• Jamming transition in a cellular automaton model for traffic flow
• A novel meta-learning initialization method for physics-informed neural networks
• Analytical Results For The Steady State Of Traffic Flow Models With Stochastic Delay
• From Microscopic to Macroscopic Traffic Models
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• Structure and Instability of High-Density Equations for Traffic Flow
• A cellular automaton traffic flow model between the Fukui-Ishibashi and Nagel-Schreckenberg models
• Density Waves and Jamming Transition in Cellular Automaton Models for Traffic Flow
• Analytical Studies on a Modified Nagel-Schreckenberg Model with the Fukui-Ishibashi Acceleration Rule
• Estimation of Missing Data in Intelligent Transportation System