4.5 Article

On cellular automata model of traffic flow with Lennard-Jones potential

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

Application of the dynamic Monte Carlo method to pedestrian evacuation dynamics

Nutthavuth Tamang et al.

Summary: In this study, a dynamic Monte Carlo method is used to investigate a two-dimensional lattice model for crowd evacuation dynamics. The model is based on microscopic Arrhenius dynamics and exclusion rule, where stochastic processes control individual movements based on the relative distance to the room exit. The model can quantitatively estimate the evacuation time and predict the emerging patterns of crowds during the process.

APPLIED MATHEMATICS AND COMPUTATION (2023)

Article Mathematics, Applied

Accelerated kinetic Monte Carlo methods for general nonlocal traffic flow models

Yi Sun et al.

Summary: This paper presents a class of one-dimensional cellular automata (CA) models on traffic flows, featuring nonlocal look-ahead interactions. Kinetic Monte Carlo (KMC) algorithms are developed to simulate the dynamics. An accelerated KMC method is designed to reduce the computational complexity in the evaluation of the nonlocal transition rates. Numerical experiments demonstrate the efficiency of the accelerated algorithm and fundamental diagrams of the dynamics under various parameter settings are obtained.

PHYSICA D-NONLINEAR PHENOMENA (2023)

Article Physics, Multidisciplinary

Freeway traffic flow cellular automata model based on mean velocity feedback

Junwei Zeng et al.

Summary: This paper proposes a new average speed feedback strategy based on real-time information to improve the MCD model, and simulation results show that this strategy can adjust vehicle speed, reduce speed disturbance, and improve road operation efficiency in different traffic flow phases.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2021)

Article Physics, Applied

Traffic flow modeling in fog with cellular automata model

Xin-Hong Qiang et al.

Summary: The study reveals that in foggy conditions, traffic flow characteristics include capacity shrinkage and weak dependency between the main lane capacity and the distance away from the on-ramp bottleneck. This provides insights for modeling traffic flow in fog and other infrequent weather conditions.

MODERN PHYSICS LETTERS B (2021)

Article Physics, Multidisciplinary

Kinetic Monte Carlo simulations of bi-direction pedestrian flow with different walk speeds

Yi Sun

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2020)

Article Physics, Multidisciplinary

A simple cellular automaton model with dual cruise-control limit in the framework of Kerner's three-phase traffic theory

Ding-Jun Fu et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2020)

Article Mathematics, Applied

On a class of new nonlocal traffic flow models with look-ahead rules

Yi Sun et al.

PHYSICA D-NONLINEAR PHENOMENA (2020)

Article Physics, Multidisciplinary

A cellular automata traffic flow model for three-phase theory

Yong-Sheng Qian et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2017)

Article Physics, Multidisciplinary

A cellular automata model of traffic flow with variable probability of randomization

Zheng Wei-Fan et al.

CHINESE PHYSICS B (2015)

Article Statistics & Probability

On cellular automata models of traffic flow with look-ahead potential

Cory Hauck et al.

STOCHASTICS AND DYNAMICS (2014)

Proceedings Paper Transportation

A stochastic continuous cellular automata traffic flow model with a multi-agent fuzzy system

Oeznur Yeldan et al.

PROCEEDINGS OF EWGT 2012 - 15TH MEETING OF THE EURO WORKING GROUP ON TRANSPORTATION (2012)

Article Physics, Multidisciplinary

A modified weighted probabilistic cellular automaton traffic flow model

Zhuang Qian et al.

Chinese Physics B (2009)

Article Physics, Multidisciplinary

New insights into traffic dynamics: a weighted probabilistic cellular automaton model

Li Xing-Li et al.

Chinese Physics B (2008)

Article Physics, Mathematical

Stochastic Description of Traffic Flow

Timur Alperovich et al.

JOURNAL OF STATISTICAL PHYSICS (2008)

Article Physics, Multidisciplinary

Stochastic noise approach to traffic flow modeling

A Sopasakis

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2004)

Article Physics, Multidisciplinary

Cellular automata models for synchronized traffic flow

R Jiang et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2003)

Article Physics, Multidisciplinary

Traffic flow: a statistical physics point of view

A Schadschneider

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2002)