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We construct a two dimensional Cellular Automata based model for the description of pedestrian dynamics. Wide range of complicated pattern formation phenomena in pedestrian dynamics are described in the model, e.g. lane formation, jams in a…

元胞自动机与格子气 · 物理学 2012-11-29 Quntao Zhuang

In this study, we provide a novel approach for modelling the mixed traffic flow. The basic idea is to integrate models for nonmotorized vehicles (nm-vehicles) with models for motorized vehicles (m-vehicles). Based on the idea, a model for…

物理与社会 · 物理学 2007-07-10 X. M. Zhao , B. Jia , Z. Y. Gao

A most important aspect in the field of traffic modeling is the simulation of bottleneck situations. For their realistic description a macroscopic multi-lane model for uni-directional freeways including acceleration, deceleration, velocity…

统计力学 · 物理学 2009-10-31 Dirk Helbing

We extend the Aw-Rascle macroscopic model of car traffic into a two-way multi-lane model of pedestrian traffic. Within this model, we propose a technique for the handling of the congestion constraint, i.e. the fact that the pedestrian…

数学物理 · 物理学 2014-04-08 Cécile Appert-Rolland , Pierre Degond , Sébastien Motsch

From the macroscopic viewpoint for describing the acceleration behavior of drivers, this letter presents a weighted probabilistic cellular automaton model (the WP model, for short) by introducing a kind of random acceleration probabilistic…

物理与社会 · 物理学 2009-11-13 X. L. Li , H. Kuang , T. Song , S. Q. Dai , Z. P. Li

We present a new cellular automata model of vehicular traffic in cities by combining ideas borrowed from the Biham-Middleton-Levine (BML) model of city traffic and the Nagel-Schreckenberg (NaSch) model of highway traffic. The model exhibits…

统计力学 · 物理学 2007-05-23 A. Schadschneider , D. Chowdhury , E. Brockfeld , K. Klauck , L. Santen , J. Zittartz

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…

最优化与控制 · 数学 2020-02-25 Yicheng Zhang

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…

物理与社会 · 物理学 2007-05-23 Sven Maerivoet , Bart De Moor

This paper introduces a fuzzy cellular model of road traffic that was intended for on-line applications in traffic control. The presented model uses fuzzy sets theory to deal with uncertainty of both input data and simulation results.…

新兴技术 · 计算机科学 2015-03-19 Bartłomiej Płaczek

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…

统计力学 · 物理学 2009-10-31 Patrice Simon , Kai Nagel

Traffic learning and prediction is at the heart of the evaluation of the performance of telecommunications networks and attracts a lot of attention in wired broadband networks. Now, benefiting from the big data in cellular networks, it…

网络与互联网体系结构 · 计算机科学 2017-03-29 Rongpeng Li , Zhifeng Zhao , Jianchao Zheng , Chengli Mei , Yueming Cai , Honggang Zhang

The aim of this work is to introduce a two-dimensional macroscopic traffic model for multiple populations of vehicles. Starting from the paper [20], where a two-dimensional model for a single class of vehicles is proposed, we extend the…

数值分析 · 数学 2020-11-04 Caterina Balzotti , Simone Göttlich

A simple algorithm for constructing an effective traffic model is presented. The algorithm uses statistically well-defined quantities extracted from the flow-density plot, and the resulting effective model naturally captures and predicts…

适应与自组织系统 · 物理学 2014-12-16 Bo Yang , Christopher Monterola

This paper presents a novel approach to the description and understanding of two-dimensional binary cellular automata with the Moore neighborhood that preserve the number of active cells. Such dynamical systems are known to successfully…

动力系统 · 数学 2025-12-10 B. Wolnik , D. M. Falkiewicz , W. Bołt , A. Rutkowski , B. De Baets

In the Biham-Middleton-Levine traffic model cars are placed with some density p on a two dimensional torus, and move according to a (simple) set of predefined rules. Computer simulations show this system exhibits many interesting phenomena:…

概率论 · 数学 2007-09-11 Itai Benjamini , Ori Gurel-Gurevich , Roey Izkovsky

Statistical mechanics of a small system of cars on a single-lane road is developed. The system is not characterized by a Hamiltonian but by a conditional probability of a velocity of a car for the given velocity and distance of the car…

物理与社会 · 物理学 2009-11-13 Anton Šurda

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…

离散数学 · 计算机科学 2012-04-10 Bartłomiej Płaczek

To provide a more accurate description of the driving behaviors in vehicle queues, a namely Markov-Gap cellular automata model is proposed in this paper. It views the variation of the gap between two consequent vehicles as a Markov process…

数据分析、统计与概率 · 物理学 2009-04-23 Fa Wang , Li Li , Jianming Hu , Yan Ji , Danya Yao , Yi Zhang , Xuexiang Jin , Yuelong Su , Zheng Wei

In Part I of this paper series, several macroscopic traffic model elements for mathematically describing freeway networks equipped with managed lane facilities were proposed. These modeling techniques seek to capture at the macroscopic the…

系统与控制 · 电气工程与系统科学 2019-08-28 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

Cellular traffic prediction is of great importance for operators to manage network resources and make decisions. Traffic is highly dynamic and influenced by many exogenous factors, which would lead to the degradation of traffic prediction…

机器学习 · 计算机科学 2025-06-23 Hui Ma , Kai Yang , Man-On Pun