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For single-lane traffic models it is well known that particle disorder leads to platoon formation at low densities. Here we discuss the effect of slow cars in two-lane systems. Surprisingly, even a small number of slow cars can initiate the…

Statistical Mechanics · Physics 2015-06-25 Wolfgang Knospe , Ludger Santen , Andreas Schadschneider , Michael Schreckenberg

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour…

Statistical Mechanics · Physics 2007-05-23 Andreas Schadschneider

We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic following the traditional Lighthill-Whitham-Richards model where the velocity in each lane depends only on the density in the same lane. The model…

Analysis of PDEs · Mathematics 2018-12-05 Helge Holden , Nils Henrik Risebro

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

Traffic flow at low densities (free traffic) is characterized by a quasi-one-dimensional relation between traffic flow and vehicle density, while no such fundamental diagram exists for `synchronized' congested traffic flow. Instead, a…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Davide Batic , Martin Schoenhof , Martin Treiber

The optimal information feedback has a significant effect on many socioeconomic systems like stock market and traffic systems aiming to make full use of resources. In this paper, we studied dynamics of traffic flow with real-time…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Dong Chuan-Fei , Ma Xu , Wang Guan-Wen , Sun Xiao-Yan , Wang Bing-Hong

On the basis of assumptions about the behavior of driver-vehicle units concerning acceleration, deceleration, overtaking, and lane-changing maneuvers, a gas-kinetic traffic model for uni-directional multi-lane freeways is constructed.…

Statistical Mechanics · Physics 2015-06-25 Dirk Helbing

We propose a 2-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax=1 model with exclusion statistics and parallel dynamics. Long-range interactions between the pedestrians are mediated by a so called floor…

Statistical Mechanics · Physics 2009-11-07 C. Burstedde , K. Klauck , A. Schadschneider , J. Zittartz

Simple physical models based on fluid mechanics have long been used to understand the flow of vehicular traffic on freeways; analytically tractable models of flow on an urban grid, however, have not been as extensively explored. In an ideal…

Physics and Society · Physics 2013-10-21 Mark J Panaggio , Bertrand J Ottino-Löffler , Peiguang Hu , Daniel M Abrams

When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. Changing lane can be forced due to lane drops or junctions, but may also take place spontaneously at discretion of drivers, and recent studies…

Physics and Society · Physics 2023-08-15 Jeremy Worsfold , Tim Rogers

Reinforcement learning techniques can provide substantial insights into the desired behaviors of future autonomous driving systems. By optimizing for societal metrics of traffic such as increased throughput and reduced energy consumption,…

Multiagent Systems · Computer Science 2022-01-03 Abdul Rahman Kreidieh , Yibo Zhao , Samyak Parajuli , Alexandre Bayen

The Biham-Middleton-Levine (BML) traffic model is a simple two-dimensional, discrete Cellular Automaton (CA) that has been used to study self-organization and phase transitions arising in traffic flows. From the computational point of view,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-20 Moreno Marzolla

We propose three models for the traffic of vehicles within a network formed by sites (cities, car-rental agencies, parking lots, etc.) and connected by two-way arteries (roads, highways), that allow forecasting the vehicular flux in a…

Physics and Society · Physics 2017-10-25 Dino Otero , Diógenes Galetti , Salomon S. Mizrahi

It is shown that a variety of deterministic cellular automaton models of highway traffic flow obey a variational principle which states that, for a given car density, the average car flow is a non-decreasing function of time. This result is…

Disordered Systems and Neural Networks · Physics 2016-12-21 Nino Boccara

In this paper, we investigate traffic signal control in a network of interconnected intersections, aiming to balance lane-level vehicle densities through optimal green-time allocation. We develop a two-lane traffic flow model that…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Xinfeng Ru , Ting Bai , Weiguo Xia , Andreas A. Malikopoulos

We have developed a Nagel-Schreckenberg cellular automata model for describing of vehicular traffic flow at a single intersection. A set of traffic lights operating either in fixed-time or traffic adaptive scheme controls the traffic flow.…

Cellular Automata and Lattice Gases · Physics 2008-09-23 M. Ebrahim Foulaadvand , Sommayeh Belbaasi

We present a model of traffic flow on generic urban road networks based on cellular automata. We apply this model to an existing road network in the Australian city of Melbourne, using empirical data as input. For comparison, we also apply…

Cellular Automata and Lattice Gases · Physics 2011-04-28 Jan de Gier , Timothy M Garoni , Omar Rojas

From single vehicle data a number of new empirical results about the temporal evolution, correlation, and density-dependence of macroscopic traffic quantities have been determined. These have relevant implications for traffic modeling and…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

Summary: Traffic light coordination is a complex problem. In this paper, we extend previous work on an abstract model of city traffic to allow for multiple street intersections. We test a self-organizing method in our model, showing that it…

Adaptation and Self-Organizing Systems · Physics 2011-04-15 Carlos Gershenson , David A. Rosenblueth

In recent works, we have proposed a stochastic cellular automaton model of traffic flow connecting two exactly solvable stochastic processes, i.e., the Asymmetric Simple Exclusion Process and the Zero Range Process, with an additional…

Statistical Mechanics · Physics 2009-05-19 Masahiro Kanai , Katsuhiro Nishinari , Tetsuji Tokihiro
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