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Related papers: Cellular Automata For Traffic Flow: Analytical Res…

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Traffic flow prediction, particularly in areas that experience highly dynamic flows such as motorways, is a major issue faced in traffic management. Due to increasingly large volumes of data sets being generated every minute, deep learning…

Signal Processing · Electrical Eng. & Systems 2020-07-07 Adriana-Simona Mihaita , Zac Papachatgis , Marian-Andrei Rizoiu

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

Many diffusion processes in nature and society were found to be anomalous, in the sense of being fundamentally different from conventional Brownian motion. An important example is the migration of biological cells, which exhibits…

Statistical Mechanics · Physics 2018-02-13 J. M. Nava-Sedeno , H. Hatzikirou , R. Klages , A. Deutsch

We investigate the conditions under which the mean-field formulation of a probabilistic, totalistic cellular automaton approximates the logistic equation. We show that this goal can be only fulfilled for an infinite-range neighborhood. We…

Cellular Automata and Lattice Gases · Physics 2026-03-06 Franco Bagnoli

We investigate cellular automata where some global quantity varies periodically or quasiperiodically with time. We find that these systems are highly predictable, and can be rather well described by a set of mean-field variables. We…

Condensed Matter · Physics 2009-10-22 Jan Hemmingsson , Hans J. Herrmann

Modeling heterogeneous and multi-lane traffic flow is essential for understanding and controlling complex transportation systems. In this work, we consider three vehicle populations: two classes of human-driven vehicles (cars and trucks)…

Optimization and Control · Mathematics 2025-10-17 Maria Teresa Chiri , Christopher Denaro , Xiaoqian Gong , Benedetto Piccoli

To address the limitations of traffic prediction from location-bound detectors, we present Geographical Cellular Traffic (GCT) flow, a novel data source that leverages the extensive coverage of cellular traffic to capture mobility patterns.…

Machine Learning · Computer Science 2024-01-09 ChungYi Lin , Shen-Lung Tung , Hung-Ting Su , Winston H. Hsu

Cities increasingly rely on vehicle trajectory data to monitor traffic conditions; however, such data offer only a partial and spatially heterogeneous view of network dynamics and exhibit systematic biases across corridors and time periods.…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Antonina Kosikova , Mehmet Kerem Turkcan , Ahmed Darrat , Andrew Smyth

We explore some aspects of phase transitions in cellular automata. We start recalling the standard formulation of statistical mechanics of discrete systems (Ising model), illustrating the Monte Carlo approach as Markov chains and stochastic…

Statistical Mechanics · Physics 2023-12-05 Franco Bagnoli , Raul Rechtman

The effect of mixture lengths of vehicles on the asymmetric exclusion model is studied using numerical simulations for both open and periodic boundaries in parallel dynamics. Densities are calculated as a function of the injecting rates…

Statistical Mechanics · Physics 2009-11-10 H. Ez-Zahraouy , K. Jetto , A. Benyoussef

In this paper, we address the problem of modeling the traffic flow of a heritage city whose streets are represented by a network. We consider a mean field approach where the standard forward backward system of equations is also intertwined…

Optimization and Control · Mathematics 2019-09-09 Fabio Bagagiolo , Rosario Maggistro , Raffaele Pesenti

We use cellular automata model to study the cooperation between cyclists. In the two-lane model, cyclists can change lanes. Even there is someone on the back they will take a cooperative attitude. It means that they will be in a same…

Cellular Automata and Lattice Gases · Physics 2011-10-14 Chi-Yu Wang , Li-Hu Wang , Ruo-Hang Chen

Emerging vehicle automation and communication systems (VACS) may contribute to the improvement of vehicle travel time and the mitigation of motorway traffic congestion on the basis of appropriate control strategies. This work considers the…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Antonios Georgantas

A new kind of cellular automaton (CA) for the study of the dynamics of urban systems is proposed. The state of a cell is not described using a finite set, but by means of continuum variables. A population sector is included, taking into…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Alberto Vancheri , Paolo Giordano , Denise Andrey , Sergio Albeverio

We present an exact solution of a probabilistic cellular automaton for traffic with open boundary conditions, e.g. cars can enter and leave a part of a highway with certain probabilities. The model studied is the asymmetric exclusion…

Statistical Mechanics · Physics 2015-06-25 M. R. Evans , N. Rajewsky , E. R. Speer

The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow phase to a congested phase. In the deterministic case this transition corresponds to a critical point with diverging correlation length. In the…

Statistical Mechanics · Physics 2009-10-30 B. Eisenblaetter , L. Santen , A. Schadschneider , M. Schreckenberg

A traffic system is a random and complex large system, which is difficult to conduct repeated modelling and control research in a real traffic environment. With the development of automatic driving technology, the requirements for testing…

Robotics · Computer Science 2023-08-01 Junfeng Li , Changqing Yan

Recently, a fully two-dimensional microscopic traffic flow model for lane-free vehicular traffic flow has been proposed [Physica A, 509, pp. 1-11 (2018)]. In this contribution, we generalize this model to describe any kind of human-driven…

Physics and Society · Physics 2023-10-26 Martin Treiber , Ankit Anil Chaudhari

This work addresses the problem of autonomous traffic management at an isolated intersection for connected and automated vehicles. We decompose the trajectory of each vehicle into two phases: the provisional phase and the coordinated phase.…

Optimization and Control · Mathematics 2021-10-22 Darshan Gadginmath , Pavankumar Tallapragada

We analyze the steady-state flow as a function of the initial density for a class of deterministic cellular automata rules (``traffic rules'') with periodic boundary conditions [H. Fuks and N. Boccara, Int. J. Mod. Phys. C 9, 1 (1998)]. We…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Janne V. Kujala , Tuomas J. Lukka