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

BS Kerner - Physica A: Statistical Mechanics and its Applications, 2016 - Elsevier
In a mini-review Kerner (2013) it has been shown that classical traffic flow theories and
models failed to explain empirical traffic breakdown—a phase transition from metastable …

A Markov model for headway/spacing distribution of road traffic

X Chen, L Li, Y Zhang - IEEE Transactions on Intelligent …, 2010 - ieeexplore.ieee.org
In this paper, we link two research directions of road traffic-the mesoscopic headway
distribution model and the microscopic vehicle interaction model-together to account for the …

Spatiotemporal trajectory characteristic analysis for traffic state transition prediction near expressway merge bottleneck

Q Wan, G Peng, Z Li, FHT Inomata - Transportation Research Part C …, 2020 - Elsevier
The theoretical analysis of traffic flow with empirical vehicle trajectory data contained within
this study allows for the explanation, reconstruction, and prediction of spatiotemporal …

Simple cellular automaton model for traffic breakdown, highway capacity, and synchronized flow

BS Kerner, SL Klenov, M Schreckenberg - Physical Review E—Statistical …, 2011 - APS
We present a simple cellular automaton (CA) model for two-lane roads explaining the
physics of traffic breakdown, highway capacity, and synchronized flow. The model consists …

Cellular-automaton model with velocity adaptation in the framework of Kerner's three-phase traffic theory

K Gao, R Jiang, SX Hu, BH Wang, QS Wu - Physical Review E—Statistical …, 2007 - APS
In this paper, we propose a cellular automata (CA) model for traffic flow in the framework of
Kerner's three-phase traffic theory. We mainly consider the velocity-difference effect on the …

An improved car-following model considering relative velocity fluctuation

S Yu, Z Shi - Communications in Nonlinear Science and Numerical …, 2016 - Elsevier
To explore and evaluate the impacts of relative velocity fluctuation on the dynamic
characteristics and fuel consumptions of traffic flow, we present an improved car-following …

Effect of driver over-acceleration on traffic breakdown in three-phase cellular automaton traffic flow models

BS Kerner, SL Klenov, G Hermanns… - Physica A: Statistical …, 2013 - Elsevier
Based on simulations with cellular automaton (CA) traffic flow models, a generic physical
feature of the three-phase models studied in the paper is disclosed. The generic feature is a …

Criticism of three-phase traffic theory

M Schönhof, D Helbing - Transportation Research Part B: Methodological, 2009 - Elsevier
After introducing the history and main points of three-phase traffic theory, we continue with a
critical discussion based on its theoretical features and empirical traffic data. Our data …

Phase transitions in traffic flow on multilane roads

BS Kerner, SL Klenov - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
Based on empirical and numerical analyses of vehicular traffic, the physics of spatiotemporal
phase transitions in traffic flow on multilane roads is revealed. The complex dynamics of …

A new fundamental diagram theory with the individual difference of the driver's perception ability

T Tang, C Li, H Huang, H Shang - Nonlinear Dynamics, 2012 - Springer
Based on the driver's individual difference of the driver's perception ability, we in this paper
develop a new fundamental diagram with the driver's perceived error and speed deviation …