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In urban streets, the intrusion of pedestrians presents significant safety challenges. Modelling mixed pedestrian-vehicle traffic is complex due to the distinct motion characteristics and spatial dimensions of pedestrians and vehicles,…

Physics and Society · Physics 2024-05-13 Jinghui Wang , Wei Lv , Yajuan Jiang , Guangchen Huang

The modelling of traffic flow using methods and models from physics has a long history. In recent years especially cellular automata models have allowed for large-scale simulations of large traffic networks faster than real time. On the…

Statistical Mechanics · Physics 2009-10-31 Andreas Schadschneider

In this paper, we propose a stochastic cellular automaton model of traffic flow extending two exactly solvable stochastic models, i.e., the asymmetric simple exclusion process and the zero range process. Moreover it is regarded as a…

Statistical Mechanics · Physics 2009-05-26 Masahiro Kanai , Katsuhiro Nishinari , Tetsuji Tokihiro

We study a two-dimensional cellular automaton (CA), called Diffusion Rule (DR), which exhibits diffusion-like dynamics of propagating patterns. In computational experiments we discover a wide range of mobile and stationary localizations…

Formal Languages and Automata Theory · Computer Science 2015-05-13 Genaro J. Martinez , Andrew Adamatzky , Harold V. McIntosh

This paper introduces a fuzzy cellular model of road traffic that was intended for on-line applications in traffic control. The presented model uses fuzzy sets theory to deal with uncertainty of both input data and simulation results.…

Emerging Technologies · Computer Science 2015-03-19 Bartłomiej Płaczek

The jamming behavior of a single lane traffic model based on a cellular automaton approach is studied. Our investigations concentrate on the so-called VDR model which is a simple generalization of the well-known Nagel-Schreckenberg model.…

Statistical Mechanics · Physics 2009-11-07 Robert Barlovic , Andreas Schadschneider , Michael Schreckenberg

We propose a two dimensional probabilistic cellular automata for the description of traffic flow in a small city network composed of two intersections. The traffic in the network is controlled by a set of traffic lights which can be…

Physics and Society · Physics 2012-03-19 M. Ebrahim Fouladvand , M. Reza Shaebani , Zeinab Sadjadi

The density classification problem is one of the simplest yet non-trivial computing tasks which seem to be ideally suitable for cellular automata (CA). Unfortunately, there exists no one-dimensional two-state CA which classifies binary…

Cellular Automata and Lattice Gases · Physics 2016-02-18 Henryk Fukś

This paper presents a novel framework using neural cellular automata (NCA) to regenerate and predict geographic information. The model extends the idea of using NCA to generate/regenerate a specific image by training the model with various…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Mingxiang Chen , Qichang Chen , Lei Gao , Yilin Chen , Zhecheng Wang

The volume and types of traffic data in mobile cellular networks have been increasing continuously. Meanwhile, traffic data change dynamically in several dimensions such as time and space. Thus, traffic modeling is essential for theoretical…

Networking and Internet Architecture · Computer Science 2017-04-03 Shuo Wang , Xing Zhang , Jiaxin Zhang , Jian Feng , Wenbo Wang , Ke Xin

We introduced a probability of traffic light, PL, at an intersection when approaching cars in two roads are in same conditions. As a application, we proposed a modified Nagel-Schreckenberg cellular automata model for describing a…

Physics and Society · Physics 2009-04-24 Wei Zhang , Wei Zhang

In this paper computer simulation results of higher order density correlation for cellular automaton models of traffic flow are presented. The examinations show the jamming transition as a function of both the density and the magnitude of…

Statistical Mechanics · Physics 2009-10-31 L. Neubert , H. Y. Lee , M. Schreckenberg

Parallel algorithms for solving any image processing task is a highly demanded approach in the modern world. Cellular Automata (CA) are the most common and simple models of parallel computation. So, CA has been successfully used in the…

Computer Vision and Pattern Recognition · Computer Science 2014-07-30 Deepak Ranjan Nayak , Prashanta Kumar Patra , Amitav Mahapatra

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

In this work, we formulate a theoretical model based on a cellular automaton (CA) to study thermal transport in low-dimensional nanostructures across ballistic, diffusive, and transition regimes. Unlike computationally intensive methods…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Alejandra León

We present results on the modeling of on- and off-ramps in cellular automata for traffic flow, especially the Nagel-Schreckenberg model. We study two different types of on-ramps that cause qualitatively the same effects. In a certain…

Statistical Mechanics · Physics 2009-10-31 G. Diedrich , L. Santen , A. Schadschneider , J. Zittartz

We propose a calibrated two-dimensional cellular automaton model to simulate pedestrian motion behavior. It is a v=4 (3) model with exclusion statistics and random shuffled dynamics. The underlying regular grid structure results in a…

Physics and Society · Physics 2021-04-01 Michael Schultz , Hartmut Fricke

This paper demonstrates accurate traffic modeling and forecast using stochastic cell-automata (CA) and distributed fiber-optic sensing (DFOS). Traffic congestion is a dominant issue in highways. To reduce congestion, real-time traffic…

Cellular Automata and Lattice Gases · Physics 2025-11-24 Yoshiyuki Yajima , Takahiro Kumura

Autonomous vehicles are essential to future transportation systems, potentially reducing traffic congestion. This study examines the impact of different vehicle control strategies on traffic flow through simulations. We propose a novel…

Cellular Automata and Lattice Gases · Physics 2025-09-08 Kayo Kinjo , Akiyasu Tomoeda

A uni-directional two-lane road is approximated by a set of two parallel closed one-dimensional chains. Two types of car i.e. slow and fast ones are considered in the system. Based on the Nagel-Schreckenberg (Na-Sch) model of traffic flow,…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand
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