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Understanding the spatial dynamics of cars within urban systems is essential for optimizing infrastructure management and resource allocation. Recent empirical approaches for analyzing traffic patterns have gained traction due to their…

计算机视觉与模式识别 · 计算机科学 2025-07-22 Kangan Qian , Jinyu Miao , Xinyu Jiao , Ziang Luo , Zheng Fu , Yining Shi , Yunlong Wang , Kun Jiang , Diange Yang

We derive a nonlinear 2-equation discrete-velocity model for traffic flow from a continuous kinetic model. The model converges to scalar Lighthill-Whitham type equations in the relaxation limit for all ranges of traffic data. Moreover, the…

偏微分方程分析 · 数学 2017-10-18 Raul Borsche , Axel Klar

Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet…

数值分析 · 数学 2016-03-01 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

Traffic flow prediction is a critical component of intelligent transportation systems, yet accurately forecasting traffic remains challenging due to the interaction between long-term trends and short-term fluctuations. Standard deep…

新兴技术 · 计算机科学 2025-04-29 Adway Das , Agnimitra Sengupta , S. Ilgin Guler

By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that the headways $T_i$ of individual vehicles follow a linear…

其他凝聚态物理 · 物理学 2007-05-23 Peter Wagner

Lane changing dynamics are an important part of traffic microsimulation and are vital for modeling weaving sections and merge bottlenecks. However, there is often much more emphasis placed on car following and gap acceptance models, whereas…

系统与控制 · 计算机科学 2023-08-01 Ronan Keane , H. Oliver Gao

In its simplest form, the traffic flow prediction problem is restricted to predicting a single time-step into the future. Multi-step traffic flow prediction extends this set-up to the case where predicting multiple time-steps into the…

人工智能 · 计算机科学 2018-05-18 Arief Koesdwiady , Fakhri Karray

Advanced traffic navigation systems, which provide routing recommendations to drivers based on real-time congestion information, are nowadays widely adopted by roadway transportation users. Yet, the emerging effects on the traffic dynamics…

最优化与控制 · 数学 2023-12-19 Gianluca Bianchin , Fabio Pasqualetti

The emergence of connected and automated vehicles (CAVs) promises smoother traffic flow. In mixed traffic where human-driven vehicles (HDVs) also exist, existing research mostly focuses on "looking ahead" (i.e., the CAVs receive information…

系统与控制 · 电气工程与系统科学 2023-09-06 Shuai Li , Haotian Zheng , Jiawei Wang , Chaoyi Chen , Qing Xu , Jianqiang Wang , Keqiang Li

Urban intersections are prone to delays and inefficiencies due to static precedence rules and occlusions limiting the view on prioritized traffic. Existing approaches to improve traffic flow, widely known as automatic intersection…

机器人学 · 计算机科学 2022-07-27 Marvin Klimke , Benjamin Völz , Michael Buchholz

Based on experimental traffic data obtained from German and US highways, we propose a novel two-dimensional first-order macroscopic traffic flow model. The goal is to reproduce a detailed description of traffic dynamics for the real road…

物理与社会 · 物理学 2017-11-10 Michael Herty , Adrian Fazekas , Giuseppe Visconti

We investigate two models for traffic flow with modified acceleration ('slow-to-start') rules. Even in the simplest case $v_{max}=1$ these rules break the 'particle-hole` symmetry of the model. We determine the fundamental diagram…

统计力学 · 物理学 2009-10-30 Andreas Schadschneider , Michael Schreckenberg

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 paper provides conditions that guarantee existence and uniqueness of classical solutions for a non-local conservation law on a ring-road with possible nudging (or "look behind") terms. The obtained conditions are novel, as they are not…

最优化与控制 · 数学 2020-03-06 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

Floating car data of car-following behavior in cities were compared to existing microsimulation models, after their parameters had been calibrated to the experimental data. With these parameter values, additional simulations have been…

统计力学 · 物理学 2009-10-31 Dirk Helbing , Benno Tilch

The gas-kinetic foundation of fluid-dynamic traffic equations suggested in previous papers [Physica A 219, 375 and 391 (1995)] is further refined by applying the theory of dense gases and granular materials to the Boltzmann-like traffic…

统计力学 · 物理学 2015-06-25 Dirk Helbing

This paper presents a rigorous analytical model of traffic dynamics on a circular track, demonstrating the emergence of standing oscillations resulting from microscopic driver behaviour, delay responses, and proximity pressure. Without…

适应与自组织系统 · 物理学 2025-07-10 Craig S Wright

In this work we extend a recent kinetic traffic model to the case of more than one class of vehicles, each of which is characterized by few different microscopic features. We consider a Boltzmann-like framework with only binary…

数值分析 · 数学 2017-02-22 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

We propose a model describing the traffic flow on a road with variable widths in this paper. The model, which is modified the Aw-Rascle model, is not conservative because of the source term. We obtain the elementary waves of the new traffic…

偏微分方程分析 · 数学 2021-08-16 Wancheng Sheng , Qinglong Zhang

In this paper, we introduce a traffic flow model based on a microscopic follow-the-leader model, while enforcing maximal constraints on the density and velocity of the flow. The related macroscopic model can be represented in conservative…

数值分析 · 数学 2026-01-21 Yuanhong Wu , Shuzhi Liu , Qinglong Zhang