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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

A recently introduced cellular automaton model for the description of traffic flow is investigated. It generalises asymmetric exclusion models which have attracted a lot of interest in the past. We calculate the so-called fundamental…

Condensed Matter · Physics 2009-10-22 A. Schadschneider , M. Schreckenberg

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

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

We investigate a probabilistic cellular automaton model which has been introduced recently. This model describes single-lane traffic flow on a ring and generalizes the asymmetric exclusion process models. We study the equilibrium properties…

Condensed Matter · Physics 2009-10-22 M. Schreckenberg , A. Schadschneider , K. Nagel , N. Ito

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

A model for 1D traffic flow is developed, which is discrete in space and time. Like the cellular automaton model by Nagel and Schreckenberg [J. Phys. I France 2, 2221 (1992)], it is simple, fast, and can describe stop-and-go traffic. Due to…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Michael Schreckenberg

We introduce density dependence of the cell size in cellular-automaton models for traffic flow, which allows a more precise correspondence between real-world phenomena and what observed in simulation. Also, we give an explicit calibration…

Cellular Automata and Lattice Gases · Physics 2015-05-18 Masahiro Kanai

Traffic models based on cellular automata have high computational efficiency because of their simplicity in describing unrealistic vehicular behavior and the versatility of cellular automata to be implemented on parallel processing. On the…

Multiagent Systems · Computer Science 2013-02-05 Emanuele Rodaro , Öznur Yeldan

This paper proposes an improved cellular automaton traffic flow model based on the brake light model, which takes into account that the desired time gap of vehicles is remarkably larger than one second. Although the hypothetical steady…

Cellular Automata and Lattice Gases · Physics 2015-03-23 Junfang Tian , Bin Jia , Shoufeng Ma , Chenqiang Zhu , Rui Jiang , YaoXian Ding

This paper firstly show that a recent model (Tian et al., Transpn. Res. B 71, 138-157, 2015) is not able to well replicate the evolution concavity in traffic flow, i.e. the standard deviation of vehicles increases in a concave/linear way…

Cellular Automata and Lattice Gases · Physics 2015-07-16 Junfang Tian , Rui Jiang , Guangyu Li , Martin Treiber , Ning Jia , Shoufeng Ma

Cellular automaton (CA) approach is an important theoretical framework for studying complex system behavior and has been widely applied in various research field. CA traffic flow models have the advantage of flexible evolution rules and…

Cellular Automata and Lattice Gases · Physics 2018-10-09 Junfang Tian , Chenqiang Zhu , Rui Jiang

We present a new analytical description of the cellular automaton model for single-lane traffic. In contrast to previous approaches we do not use the occupation number of sites as dynamical variable but rather the distance between…

Statistical Mechanics · Physics 2009-10-28 Andreas Schadschneider , Michael Schreckenberg

We investigate a cellular automaton (CA) model of traffic on a bi-directional two-lane road. Our model is an extension of the one-lane CA model of {Nagel and Schreckenberg 1992}, modified to account for interactions mediated by passing, and…

Statistical Mechanics · Physics 2009-10-31 Patrice Simon , Howard A Gutowitz

A two-lane extension of a recently proposed cellular automaton model for traffic flow is discussed. The analysis focuses on the reproduction of the lane usage inversion and the density dependence of the number of lane changes. It is shown…

Statistical Mechanics · Physics 2009-11-07 W. Knospe , L. Santen , A. Schadschneider , M. Schreckenberg

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

In this work we propose a car cellular automaton model that reproduces the experimental behavior of traffic flows in Bogot\'a. Our model includes three elements: hysteresis between the acceleration and brake gaps, a delay time in the…

Statistical Mechanics · Physics 2009-11-10 L. E. Olmos , J. D. Munoz

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

We describe a simple framework for micro simulation of city traffic. A medium sized excerpt of Dallas was used to examine different levels of simulation fidelity of a cellular automaton method for the traffic flow simulation and a simple…

adap-org · Physics 2009-10-30 M. Rickert , Kai Nagel

Microscopic traffic models have recently gained considerable importance as a mean of optimising traffic control strategies. Computationally efficient and sufficiently accurate microscopic traffic models have been developed based on the…

Discrete Mathematics · Computer Science 2012-04-10 Bartłomiej Płaczek
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