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It is suggested that the question of existence of a jamming phase transition in a broad class of single-lane cellular-automaton traffic models may be studied using a correspondence to the asymmetric chipping model. In models where such…

统计力学 · 物理学 2009-11-10 E. Levine , G. Ziv , L. Gray , D. Mukamel

In [7], Berthelin, Degond, Delitala and Rascle introduced a traffic flow model describing the formation and the dynamics of traffic jams. This model consists of a Pressureless Gas Dynamics system under a maximal constraint on the density…

偏微分方程分析 · 数学 2012-08-08 Florent Berthelin , Damien Broizat

We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of blocks of zeros, reducing the problem of preimage enumeration to…

动力系统 · 数学 2007-05-23 Henryk Fuks

We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of blocks of zeros, reducing the problem of preimage enumeration to…

动力系统 · 数学 2007-05-23 Henryk Fuks

We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of blocks of zeros, reducing the problem of preimage enumeration to…

comp-gas · 物理学 2009-10-31 Henryk Fuks

This paper proposes a model to estimate the probability of a vehicle reaching a near-term goal state using one or multiple lane changes based on parameters corresponding to traffic conditions and driving behavior. The proposed model not…

机器人学 · 计算机科学 2021-02-02 Goodarz Mehr , Azim Eskandarian

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 in fixed-time scheme controls the traffic flow. Open boundary condition is…

物理与社会 · 物理学 2011-05-10 M. Ebrahim Foulaadvand , Somayyeh Belbasi

Measurements on real traffic have revealed the existence of metastable states with very high flow. Such states have not been observed in the Nagel-Schreckenberg (NaSch) model which is the basic cellular automaton for the description of…

统计力学 · 物理学 2009-10-31 R. Barlovic , L. Santen , A. Schadschneider , M. Schreckenberg

The mathematical modeling and the stability analysis of multi-lane traffic in the macroscopic scale is considered. We propose a new first order model derived from microscopic dynamics with lane changing, leading to a coupled system of…

偏微分方程分析 · 数学 2023-12-04 Matteo Piu , Michael Herty , Gabriella Puppo

In this paper, we present a cyclically time-expanded network model for simultaneous optimization of traffic assignment and traffic signal parameters, in particular offsets, split times, and phase orders. Since travel times are of great…

离散数学 · 计算机科学 2015-09-30 Ekkehard Köhler , Martin Strehler

An extended social force model with a dynamic navigation field is proposed to study bidirectional pedestrian movement. The dynamic navigation field is introduced to describe the desired direction of pedestrian motion resulting from the…

应用物理 · 物理学 2017-05-11 Yan-Qun Jiang , Bo-Kui Chen , Bing-Hong Wang , Weng-Fai Wong , Bing-Yang Cao

The theory of urban traffic flow has been developed and new types of meta-automata have emerged and simulate realistic traffic conditions relatively well. Among these models, the brake light model can simulate the three-phase traffic flow…

复变函数 · 数学 2021-11-29 Rui Shen

The rapid development of autonomous vehicles (AVs) holds vast potential for transportation systems through improved safety, efficiency, and access to mobility. However, the progression of these impacts, as AVs are adopted, is not well…

人工智能 · 计算机科学 2022-01-03 Cathy Wu , Aboudy Kreidieh , Kanaad Parvate , Eugene Vinitsky , Alexandre M Bayen

In this paper we propose two models describing the dynamics of heavy and light vehicles on a road network, taking into account the interactions between the two classes. The models are tailored for two-lane highways where heavy vehicles…

动力系统 · 数学 2021-05-25 Maya Briani , Emiliano Cristiani , Paolo Ranut

This paper presents a mixed traffic control policy designed to optimize traffic efficiency across diverse road topologies, addressing issues of congestion prevalent in urban environments. A model-free reinforcement learning (RL) approach is…

机器人学 · 计算机科学 2025-01-29 Chuyang Xiao , Dawei Wang , Xinzheng Tang , Jia Pan , Yuexin Ma

Traffic prediction is a fundamental task in many real applications, which aims to predict the future traffic volume in any region of a city. In essence, traffic volume in a region is the aggregation of traffic flows from/to the region.…

信号处理 · 电气工程与系统科学 2019-06-04 Xian Zhou , Yanyan Shen , Linpeng Huang

We investigate dynamical properties of traffic flow using the stochastic car-following model with modified optimal velocity on circular road. The safety distance following the two-second rule and autonomous vehicles, acting as agents,…

适应与自组织系统 · 物理学 2020-03-18 Manit Klawtanong , Surachate Limkumnerd

City traffic is a dynamic system of enormous complexity. Modeling and predicting city traffic flow remains to be a challenge task and the main difficulties are how to specify the supply and demands and how to parameterize the model. In this…

其他计算机科学 · 计算机科学 2016-12-09 Yucheng Hu , Minwei Li , Hao Liu , Xiaolu Guo , Xiaowei Wang , Tiejun Li

We analyze the structure and dynamics in the low-density phase of the deterministic two-dimensional cellular automaton model of traffic flow introduced in [O. Biham, A.A. Middleton and D. Levine, Phys. Rev. A 46, R6124 (1992)]. The model…

元胞自动机与格子气 · 物理学 2026-02-03 Gilad Hertzberg Rabinovich , Ofer Biham , Eytan Katzav

Enhancing simulation environments to replicate real-world driver behavior is essential for developing Autonomous Vehicle technology. While some previous works have studied the yielding reaction of lag vehicles in response to a merging car…