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Simple cellular automata models are able to reproduce the basic properties of highway traffic. The comparison with empirical data for microscopic quantities requires a more detailed description of the elementary dynamics. Based on existing…

Statistical Mechanics · Physics 2009-10-31 Wolfgang Knospe , Ludger Santen , Andreas Schadschneider , Michael Schreckenberg

In this paper a recent variable anticipation cellular automata model for single-lane traffic flow is extended to analyze the situation of free and congested flow in the Highway from Mexico City to Cuernavaca. This highway presents free flow…

Other Condensed Matter · Physics 2009-11-11 J. A. del Rio , M. E. Larraga

In the so-called "microscopic" models of vehicular traffic, attention is paid explicitly to each individual vehicle each of which is represented by a "particle"; the nature of the "interactions" among these particles is determined by the…

Statistical Mechanics · Physics 2009-10-31 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider

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 recent years statistical physicists have developed {\it discrete} "particle-hopping" models of vehicular traffic, usually formulated in terms of {\it cellular automata}, which are similar to the microscopic models of interacting charged…

Statistical Mechanics · Physics 2007-05-23 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider

We examine various realistic generalizations of the basic cellular automaton model describing traffic flow along a highway. In particular, we introduce a {\em slow-to-start} rule which simulates a possible delay before a car pulls away from…

Condensed Matter · Physics 2009-10-28 Simon C. Benjamin , Neil F. Johnson , P. M. Hui

We present a cellular automaton simulating the behavior of public bus transport in several Mexican cities. The headway statistics obtained from the model is compared to the measured time intervals between subsequent bus arrivals to a given…

Cellular Automata and Lattice Gases · Physics 2009-11-07 M. Krbalek , P. Seba

We present a novel approach to understand vehicular traffic jams by studying a simple model, Elementary Cellular Automaton Rule 184 (ECA 184). Using key traffic observables, such as the total delay and relaxation time, as well as…

Statistical Mechanics · Physics 2025-11-11 Aryaman Jha , Kurt Wiesenfeld , Garyoung Lee , Jorge Laval

Although traffic simulations with cellular-automata models give meaningful results compared with empirical data, highway traffic requires a more detailed description of the elementary dynamics. Based on recent empirical results we present a…

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

The public transportation system of Cuernavaca, Mexico, exhibits random matrix theory statistics [1]. In particular, the fluctuation of times between the arrival of buses on a given bus stop, follows the Wigner surmise for the Gaussian…

Physics and Society · Physics 2018-09-11 Piotr Warchoł

In this second part of our research we used the models presented in \emph{Modeling a vehicular traffic network. Part I} \cite{ogm1} to perform an analysis of the urban traffic as recorded by cameras distributed in a chosen sector of Tigre,…

Physics and Society · Physics 2018-08-01 Ariel Amadio , Facundo Nicuesa , D. Otero , D. Galetti , S. S. Mizrahi

In recent years the modelling of traffic flow using methods from statistical physics, especially cellular automata models have allowed simulations of large traffic networks faster than real time. In this paper, we study a probabilistic…

Soft Condensed Matter · Physics 2007-05-23 M. E. Larraga , J. A. del Rio

The bus transportation system in Cuernevaca, Mexico, has certain distinguished, innovative features and has been the subject of an intriguing, recent study by M. Krbalek and P. Seba. Krbalek and Seba analyzed the statistics of bus arrivals…

Probability · Mathematics 2007-05-23 Jinho Baik , Alexei Borodin , Percy Deift , Toufic Suidan

In this paper a cellular automata model for one-lane traffic flow is presented. A new set of rules is proposed to better capture driver reactions to traffic that are intended to preserve safety on the highway. As a result, drivers behavior…

Statistical Mechanics · Physics 2009-09-29 M. E. Larraga , L. Alvarez-Icaza

The main contribution reported in the paper is a novel paradigm through which mobile cellular traffic forecasting is made substantially more accurate. Specifically, by incorporating freely available road metrics we characterise the data…

Machine Learning · Computer Science 2023-05-25 Natalia Vassileva Vesselinova

Understanding how cities transition from free-flowing to congested traffic remains a central open problem in urban science. Here we show that city-scale congestion undergoes a reproducible nonlinear transition analogous to an order-disorder…

Physics and Society · Physics 2026-05-06 Luis E. Olmos

In this paper, we give an elaborate and understandable review of traffic cellular automata (TCA) models, which are a class of computationally efficient microscopic traffic flow models. TCA models arise from the physics discipline of…

Physics and Society · Physics 2007-05-23 Sven Maerivoet , Bart De Moor

The study "Prediction of Highway Traffic Flow Based on Artificial Intelligence Algorithms Using California Traffic Data" presents a machine learning-based traffic flow prediction model to address global traffic congestion issues. The…

Artificial Intelligence · Computer Science 2025-07-18 Junseong Lee , Jaegwan Cho , Yoonju Cho , Seoyoon Choi , Yejin Shin

A macroscopic model-based approach for estimation of the traffic state, specifically of the (total) density and flow of vehicles, is developed for the case of "mixed" traffic, i.e., traffic comprising both ordinary and connected vehicles.…

Optimization and Control · Mathematics 2015-04-28 Nikolaos Bekiaris-Liberis , Claudio Roncoli , Markos Papageorgiou

Traffic systems can operate in different modes. In a previous work, we identified these modes as different quasi-stationary states in the correlation structure. Here, we analyze the transitions between such quasi-stationary states, i.e.,…

Physics and Society · Physics 2023-09-27 Shanshan Wang , Michael Schreckenberg , Thomas Guhr
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