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A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel-Schreckenberg CA model. The flow-density relation of this…

Statistical Mechanics · Physics 2009-11-10 Katsuhiro Nishinari , Minoru Fuku , Andreas Schadschneider

A macroscopic model is proposed to depict the traffic dynamics involved in urban traffic systems. The link dynamics are described based on the cell-transmission model and bounded by the link capacities, while the flow dynamics are proposed…

Optimization and Control · Mathematics 2020-02-25 Yicheng Zhang

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

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

Cellular automata have turned out to be important tools for the simulation of traffic flow. They are designed for an efficient impletmentation on the computer, but hard to treat analytically. Here we discuss several approaches for an…

Statistical Mechanics · Physics 2007-05-23 Andreas Schadschneider

We have studied the distribution of traffic flow $q$ for the Nagel-Schreckenberg model by computer simulations. We applied a large-deviation approach, which allowed us to obtain the distribution $P(q)$ over more than one hundred decades in…

Data Analysis, Statistics and Probability · Physics 2019-12-11 Wiebke Staffeldt , Alexander K. Hartmann

Connected and automated vehicles have shown great potential in improving traffic mobility and reducing emissions, especially at unsignalized intersections. Previous research has shown that vehicle passing order is the key influencing factor…

Robotics · Computer Science 2022-04-29 Chaoyi Chen , Qing Xu , Mengchi Cai , Jiawei Wang , Jianqiang Wang , Biao Xu , Keqiang Li

Within the Nagel-Schreckenberg traffic flow model we consider the transition from the free flow regime to the jammed regime. We introduce a method of analyzing the data which is based on the local density distribution. This analyzes allows…

Statistical Mechanics · Physics 2007-05-23 S. Lubeck , M. Schreckenberg , K. D. Usadel

To investigate the impact of Autonomous Vehicles (AVs) on urban congestion, this study looks at their performance at road intersections. Intersection performance has been studied across a range of traffic densities using a simple MATLAB…

Physics and Society · Physics 2021-04-12 Karam Safarov , Thomas Kent , Eddie Wilson , Arthur Richards

We consider the transition of the Nagel-Schreckenberg traffic flow model from the free flow regime to the jammed regime. We examine the inhomogeneous character of the system by introducing a new method of analysis which is based on the…

Statistical Mechanics · Physics 2009-10-30 S. Lubeck , M. Schreckenberg , K. D. Usadel

A uni-directional two-lane road is approximated by a set of two parallel closed one-dimensional chains. Two types of car i.e. slow and fast ones are considered in the system. Based on the Nagel-Schreckenberg (Na-Sch) model of traffic flow,…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand

This paper considers a single link with traffic light boundary conditions at both ends, and investigates the traffic evolution over time with various signal and system configurations. A hydrodynamic model and a modified stochastic domain…

Physics and Society · Physics 2019-05-07 Lele Zhang , Caley Finn , Timothy M. Garoni , Jan de Gier

The transition from today's mostly human-driven traffic to a purely automated one will be a gradual evolution, with the effect that we will likely experience mixed traffic in the near future. Connected and automated vehicles can benefit…

Machine Learning · Computer Science 2021-06-14 Shengchao Yan , Tim Welschehold , Daniel Büscher , Wolfram Burgard

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 propose a cellular automata model for vehicular traffic in cities by combining (and appropriately modifying) ideas borrowed from the Biham-Middleton-Levine (BML) model of city traffic and the Nagel-Schreckenberg (NS) model of highway…

Statistical Mechanics · Physics 2016-08-31 Debashish Chowdhury , Andreas Schadschneider

Traffic congestion has long been an ubiquitous problem that is exacerbating with the rapid growth of megacities. In this proof-of-concept work we study intrinsic motivation, implemented via the empowerment principle, to control autonomous…

Physics and Society · Physics 2025-05-20 Himaja Papala , Daniel Polani , Stas Tiomkin

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 study effects of lane changing rules on multilane highway traffic using the Nagel-Schreckenberg cellular automaton model with different schemes for combining driving lanes (lanes used by default) and overtaking lanes. Three schemes are…

Physics and Society · Physics 2018-12-12 Taiyi Zhang , Yu-Cheng Lin

An important question for the practical applicability of the highly efficient traffic intersection control is about the minimal level of intelligence the vehicles need to have so as to move beyond the traffic light control. We propose an…

Adaptation and Self-Organizing Systems · Physics 2017-08-16 Bo Yang , Christopher Monterola

We present large scale and detailed analysis of the microscopic empirical data of the traffic flow, focusing on the non-linear interactions between the vehicles when the traffic is congested. By implementing a "renormalisation" procedure…

Adaptation and Self-Organizing Systems · Physics 2016-03-15 Bo Yang , Ji Wei Yoon , Christopher Monterola