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Related papers: A Statistical Approach to Vehicular Traffic

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We investigate the behaviour of an original traffic model. The model considers a single multi-lane street, populated by autonomous vehicles directed from either end to the other. Lanes have no intrinsic directionality, and the vehicles are…

Computational Physics · Physics 2007-05-23 Federico Polito , Fergal Dalton

Besides the traditional data collection by stationary detectors, recent advances in wireless and sensor technologies have promoted new potentials for a vehicle-based data collection and local dissemination of information. By means of…

Other Computer Science · Computer Science 2010-12-22 Arne Kesting , Martin Treiber

We systematically investigate the effect of blockage sites in a cellular automaton model for traffic flow. Different scheduling schemes for the blockage sites are considered. None of them returns a linear relationship between the fraction…

Statistical Mechanics · Physics 2009-10-31 Patrice Simon , Kai Nagel

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

We consider the exclusion process on a ring with time-dependent defective bonds at which the hoping rate periodically switches between zero and one. This system models main roads in city traffics, intersecting with perpendicular streets. We…

Physics and Society · Physics 2017-03-08 Chikashi Arita , M. Ebrahim Foulaadvand , Ludger Santen

Traffic is essential for many dynamic processes on real networks, such as internet and urban traffic systems. The transport efficiency of the traffic system can be improved by taking full advantage of the resources in the system. In this…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 J. -Q. Dong , Z. -G. Huang , Z. Zhou , L. Huang , Z. -X. Wu , Y. Do , Y. -H. Wang

Dynamic arrest is a general phenomenon across a wide range of dynamic systems, but the universality of dynamic arrest phenomena remains unclear. We relate the emergence of traffic jams in a simple traffic flow model to the dynamic slow down…

Statistical Mechanics · Physics 2013-06-27 A. S. de Wijn , D. M. Miedema , B. Nienhuis , P. Schall

Within the class of stochastic cellular automata models of traffic flows, we look at the velocity dependent randomization variant (VDR-TCA) whose parameters take on a specific set of extreme values. These initial conditions lead us to the…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Sven Maerivoet , Bart De Moor

We propose and study a new one-dimensional traffic flow cellular automaton (CA) model of high speed vehicles with the Fukui-Ishibashi-type acceleration for all cars and the Nagel-Schreckenberg-type (NS) stochastic delay only for the cars…

Statistical Mechanics · Physics 2009-11-07 Lei Wang , Bing-Hong Wang , Bambi Hu

The intersecting pedestrian flow on the 2D lattice with random update rule is studied. Each pedestrian has three moving directions without the back step. Under periodic boundary conditions, an intermediate phase has been found at which some…

Cellular Automata and Lattice Gases · Physics 2017-03-06 Zhong-Jun Ding , Shao-Long Yu , Kongjin Zhu , Jian-Xun Ding , Bokui Chen , Qin Shi , Rui Jiang , Bing-Hong Wang

We study the statistical properties of a cellular automata model of traffic flow with the look-ahead potential. The model defines stochastic rules for the movement of cars on a lattice. We analyze the underlying statistical assumptions…

Probability · Mathematics 2012-09-27 Cory Hauck , Yi Sun , Ilya Timofeyev

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams…

Statistical Mechanics · Physics 2009-09-25 S. Lubeck , L. Roters , K. D. Usadel

We present analytical results for first-passage processes in a deterministic one-dimensional cellular automaton (CA) model of traffic flow. Starting at time $t=0$ from a random initial state with car density p, at every time step $t\ge 1$…

Statistical Mechanics · Physics 2026-05-20 Ofer Biham , Gilad Hertzberg Rabinovich , Eytan Katzav

Why does a traffic jams form out of nowhere, and why does it stretch for kilometers even after the initial cause is passed? This study examines how congestion moves and spreads across motorways using a surprisingly simple method: response…

Physics and Society · Physics 2025-08-15 Sebastian Gartzke , Shanshan Wang , Thomas Guhr , Michael Schreckenberg

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

Urban traffic congestion, particularly at intersections, significantly affects travel time, fuel consumption, and emissions. Traditional fixed-time signal control systems often lack the adaptability to effectively manage dynamic traffic…

Artificial Intelligence · Computer Science 2025-12-01 Saahil Mahato

We study a family of deterministic models for highway traffic flow which generalize cellular automaton rule 184. This family is parametrized by the speed limit $m$ and another parameter $k$ that represents a ``degree of aggressiveness'' in…

adap-org · Physics 2009-10-30 Henryk Fuks , Nino Boccara

This letter propose a new model for characterizing traffic dynamics in scale-free networks. With a replotted road map of cities with roads mapped to vertices and intersections to edges, and introducing the road capacity L and its handling…

Physics and Society · Physics 2007-05-23 Mao-Bin Hu , Wen-Xu Wang , Rui Jiang , Qing-Song Wu , Bing-Hong Wang , Yong-Hong Wu

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

We investigate the speed time series of the vehicles recorded by a camera at a section of a highway in the city of Isfahan, Iran. Using $k$-means clustering algorithm, we find that the natural number of clustering for this set of data is…

Physics and Society · Physics 2016-10-24 Reihaneh Kouhi , Farhad Shahbazi , Meisam Akbarzadeh
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