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In this paper, we investigate the non-signalized intersection issue considering traffic flow and energy dissipation in terms of game theory based on the Nagel-Schreckenberg (NaSch) model. There are two types of driver agents at the…

Physics and Society · Physics 2010-06-08 Wei Zhang , Wei Zhang

Cellular automata crowd simulation models have been extensively used to determine the performance and the safety of crowded structures. In conventional cellular automata systems, all the cells are of the size of a typical pedestrian. The…

Cellular Automata and Lattice Gases · Physics 2020-10-08 Siamak Sarmady , Fazilah Haron , Abdullah Zawawi Talib

This study aims at finding a method for constructing molecular dynamics like models using the formalism of cellular automata for fast simulation of fluid dynamic systems (including compressible phenomena). In as much as the results…

comp-gas · Physics 2009-09-25 Himanshu Agrawal

The density classification task is a famous problem in the theory of cellular automata. It is unsolvable for deterministic automata, but recently solutions for stochastic cellular automata have been found. One of them is a set of stochastic…

Cellular Automata and Lattice Gases · Physics 2019-07-22 Markus Redeker

The Nagel-Schreckenberg model with overtaking strategy (NSOS) is proposed, and numerical simulations are performed for both closed and open boundary conditions. The fundamental diagram, space-time diagram, and spatial-temporal distribution…

Cellular Automata and Lattice Gases · Physics 2016-08-30 Zhu Su , Weibing Deng , Jihui Han , Wei Li , Xu Cai

We investigate the effect of quenched disorder in the Nagel-Schreckenberg model of traffic flow. Spatial inhomogenities, i.e. lattice sites where the braking probability is enlarged, are considered as well as particle disorder, i.e. cars of…

Statistical Mechanics · Physics 2007-05-23 W. Knospe , L. Santen , A. Schadschneider , M. Schreckenberg

Microscopic modeling of multi-lane traffic is usually done by applying heuristic lane changing rules, and often with unsatisfying results. Recently, a cellular automaton model for two-lane traffic was able to overcome some of these problems…

Statistical Mechanics · Physics 2009-10-30 Kai Nagel , Dietrich E Wolf , Peter Wagner , Patrice Simon

In this paper I present a first attempt for a possible description of fluids dynamics by mean of a cellular automata technique. With the use of simple and elementary rules, based on random behaviour either, the model permits to obtain the…

Computational Complexity · Computer Science 2007-05-23 Gianluca Argentini

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

We construct a stochastic cellular automata model for the description of vehicular traffic at a roundabout designed at the intersection of two perpendicular streets. The vehicular traffic is controlled by a self-organized scheme in which…

Statistical Mechanics · Physics 2012-03-20 M. Ebrahim Fouladvand , Zeinab Sadjadi , M. Reza Shaebani

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 numerical model is developed for the simulation of debris flow in landslides over a complex three dimensional topography. The model is based on a lattice, in which debris can be transferred among nearest neighbors according to established…

To provide a more accurate description of the driving behaviors in vehicle queues, a namely Markov-Gap cellular automata model is proposed in this paper. It views the variation of the gap between two consequent vehicles as a Markov process…

Data Analysis, Statistics and Probability · Physics 2009-04-23 Fa Wang , Li Li , Jianming Hu , Yan Ji , Danya Yao , Yi Zhang , Xuexiang Jin , Yuelong Su , Zheng Wei

We describe a mechanical device which can be used as an analog computer to solve the transportation problem. In practice this device is simulated by a numerical algorithm. Tests show that this algorithm is 60 times faster than a current…

Optimization and Control · Mathematics 2007-05-23 Michel Henon

We construct a cellular automaton (CA) model that describes the movement of a particle in a disordered system. The mathematical properties of the CA model were examined by varying the configuration of grid and determining the number of…

Computational Physics · Physics 2025-02-05 Lander Besabe , Editha Jose , Alvin Karlo Tapia

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

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

In this paper we present a systematic view of Quantum Cellular Automata (QCA), a mathematical formalism of quantum computation. First we give a general mathematical framework with which to study QCA models. Then we present four different…

Quantum Physics · Physics 2007-05-23 Carlos A. Perez-Delgado , Donny Cheung

This study integrates pedestrian flow characteristics to formulate a mesoscopic cellular automata model tailored for simulating evacuations in large-scale scenarios. Departing from the conventional planar grid cell division, the model…

Physics and Society · Physics 2023-11-20 Wei Lv , Jinghui Wang , Zhiming Fang , Dun Mao

This study addresses the challenge of estimating traffic states for road links. We propose an innovative approach that leverages partial trajectory data captured by camera-equipped probe vehicles traveling in the opposite lane. The…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Tanay Rastogi , Michele D. Simoni , Anders Karlström
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