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By means of microscopic simulations we show that non-instantaneous adaptation of the driving behaviour to the traffic situation together with the conventional measurement method of flow-density data can explain the observed…

统计力学 · 物理学 2009-11-10 Martin Treiber , Dirk Helbing

This paper presents a mesoscopic traffic flow model that explicitly describes the spatio-temporal evolution of the probability distributions of vehicle trajectories. The dynamics are represented by a sequence of factor graphs, which enable…

机器学习 · 统计学 2019-09-25 Saif Eddin Jabari , Deepthi Mary Dilip , DianChao Lin , Bilal Thonnam Thodi

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

Fundamental to many transportation network studies, traffic flow models can be used to describe traffic dynamics determined by drivers' car-following, lane-changing, merging, and diverging behaviors. In this study, we develop a…

动力系统 · 数学 2013-07-31 Wen-Long Jin

Most car-following models show a transition from laminar to ``congested'' flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficiently large critical amplitude to move the flow from the…

统计力学 · 物理学 2007-05-23 Kai Nagel , Christopher Kayatz , Peter Wagner

We generalize a wide class of time-continuous microscopic traffic models to include essential aspects of driver behaviour not captured by these models. Specifically, we consider (i) finite reaction times, (ii) estimation errors, (iii)…

软凝聚态物质 · 物理学 2007-05-23 Martin Treiber , Arne Kesting , Dirk Helbing

We propose a microscopic traffic model where the update velocity is determined by the deceleration capacity and response time. It is found that there is a class of collisions that cannot be distinguished by simply comparing the stop…

统计力学 · 物理学 2015-05-15 Hyun Keun Lee , Jeenu Kim , Youngho Kim , Choong-Ki Lee

We consider, in the Aw-Rascle-Zhang traffic flow model, the problem of the asymptotic stability of constant flows. By using a perturbative approach, we show the stability in a larger space of perturbation than previous results. Furthermore,…

偏微分方程分析 · 数学 2022-04-26 Tej-Eddine Ghoul , Nader Masmoudi , Eliot Pacherie

Most autonomous-vehicles (AVs) driving strategies are designed and analyzed at the vehicle level, yet their aggregate impact on macroscopic traffic flow is still not understood, particularly the flow heterogeneity that emerges when AVs…

系统与控制 · 电气工程与系统科学 2025-08-14 Chenguang Zhao , Huan Yu

The present research article is devoted to the study of two fluid-dynamical traffic models and their steady states by first analyzing the kinetic-type Borsche-Kimathi-Klar model and the Navier-Stokes-type Helbing model. To fulfill this…

物理与社会 · 物理学 2018-02-16 M David Alvarez Hernandez , Shani Alvarez Hernandez

Exact mean field equations are derived analytically to give the fundamental diagrams, i.e., the average speed - car density relations, for the Fukui-Ishibashi one-dimensional traffic flow cellular automaton model of high speed vehicles…

凝聚态物理 · 物理学 2009-10-31 Bing-Hong Wang , Lei Wang , P. M. Hui , Bambi Hu

Phase-transition models are an important family of non-equilibrium continuum traffic flow models, offering properties like replicating complex traffic phenomena, maintaining anisotropy, and promising potentials for accommodating automated…

数值分析 · 数学 2025-07-01 Shaoshuai Chu , Alexander Kurganov , Saeed Mohammadian , Zuduo Zheng

This paper proposes an improved Intelligent driving model (Sigmoid-IDM) to address the problems of excessive acceleration in traffic oscillation and following failure in free flow. The Sigmoid-IDM uses a Sigmoid function to enhance the…

系统与控制 · 电气工程与系统科学 2024-06-05 Xingyu Chen , Haijian Bai

We discuss the control of a human crowd whose dynamics is governed by a regularized version of Hughes' model, cf. Hughes: A continuum theory for the flow of pedestrians. Transportation research part B: methodological, 36 (2002). We assume…

最优化与控制 · 数学 2020-11-10 Roland Herzog , Jan-Frederik Pietschmann , Max Winkler

Vehicle-to-vehicle communications can change the driving behavior of drivers significantly by providing them rich information on downstream traffic flow conditions. This study seeks to model the varying car-following behaviors involving…

系统与控制 · 计算机科学 2018-09-18 Lin Liu , Chunyuan Li , Yongfu Li , Srinivas Peeta , Lei Lin

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

The basic properties of traffic flow are analyzed using a simple deterministic one dimensional "car following model" with continuous variables based on a model introduced by Nagel and Herrmann [Physica A 199 254--269 (1993)] including a few…

统计力学 · 物理学 2007-05-23 G. Sauermann , H. J. Herrmann

While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with…

统计力学 · 物理学 2009-11-10 Dirk Helbing

It is understood that congestion in traffic can be interpreted in terms of the instability of the equation of dynamic motion. The evolution of a traffic system from an unstable or metastable state to a globally stable state bears a strong…

物理与社会 · 物理学 2016-12-06 Wei-Liang Qian , Bin Wang , Kai Lin , Romuel F. Machado , Yogiro Hama

In this thesis, Riemann problems and Godunov methods are developed for higher order traffic flow models. A rigorous analysis of the first order traffic flow model of inhomogeneous road is presented. A two-level simulation framework of…

动力系统 · 数学 2009-09-29 Wenlong Jin