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相关论文: Learning "Look-Ahead" Nonlocal Traffic Dynamics in…

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This research contributes to the advancement of traffic state estimation methods by leveraging the benefits of the nonlocal LWR model within a physics-informed deep learning framework. The classical LWR model, while useful, falls short of…

机器学习 · 计算机科学 2023-08-24 Archie J. Huang , Animesh Biswas , Shaurya Agarwal

While macroscopic models for single or multi-lane traffic flow are well established, these models are not applicable to the dynamics and characteristics of disordered traffic which is characterized by widely different types of vehicles and…

物理与社会 · 物理学 2023-10-27 Shrey Agrawal , Venkatesan Kanagaraj , Martin Treiber

This paper presents a new spatial-temporal nonlocal traffic flow model formulated to overcome the boundedness limitations inherent in classical local formulations. The model introduces an adaptive kernel that captures both spatial and…

数值分析 · 数学 2026-03-30 Animesh Biswas , Archie Huang , Shaurya Agarwal , Christopher Housholder

Connected automated vehicles (CAVs) cruising control strategies have been extensively studied at the microscopic level. CAV controllers sense and react to traffic both upstream and downstream, yet most macroscopic models still assume…

系统与控制 · 电气工程与系统科学 2025-06-24 Chenguang Zhao , Huan Yu

Traffic control is at the core of research in transportation engineering because it is one of the best practices for reducing traffic congestion. It has been shown in recent years that the traffic control problem involving…

最优化与控制 · 数学 2021-05-10 Hao Liu , Christian Claudel , Randy Machemehl

The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between connected vehicles and analyzing their impact on traffic…

偏微分方程分析 · 数学 2023-07-06 Kuang Huang , Qiang Du

This paper presents a new class of one-dimensional (1D) traffic models with look-ahead rules that take into account of two effects: nonlocal slow-down effect and right-skewed non-concave asymmetry in the fundamental diagram. The proposed 1D…

元胞自动机与格子气 · 物理学 2020-01-29 Yi Sun , Changhui Tan

Deep neural networks can be powerful tools, but require careful application-specific design to ensure that the most informative relationships in the data are learnable. In this paper, we apply deep neural networks to the nonlinear…

机器学习 · 计算机科学 2019-12-04 Matthew A. Wright , Simon F. G. Ehlers , Roberto Horowitz

Transportation departments take actions to manage traffic flow and reduce travel times based on estimated current and projected traffic conditions. Travel time estimates and forecasts require information on traffic density which are…

应用统计 · 统计学 2016-02-01 Nicholas Polson , Vadim Sokolov

Modeling the traffic dynamics is essential for understanding and predicting the traffic spatiotemporal evolution. However, deriving the partial differential equation (PDE) models that capture these dynamics is challenging due to their…

系统与控制 · 电气工程与系统科学 2025-05-05 Zihang Wei , Yunlong Zhang , Chenxi Liu , Yang Zhou

We study an optimal control problem for traffic regulation via variable speed limit. The traffic flow dynamics is described with the Lighthill-Whitham-Richards (LWR) model with Newell-Daganzo flux function. We aim at minimizing the $L^2$…

最优化与控制 · 数学 2016-03-16 Maria Laura Delle Monache , Benedetto Piccoli , Francesco Rossi

We propose and study a nonlocal conservation law modelling traffic flow in the existence of inter-vehicle communication. It is assumed that the nonlocal information travels at a finite speed and the model involves a space-time nonlocal…

偏微分方程分析 · 数学 2023-07-06 Qiang Du , Kuang Huang , James Scott , Wen Shen

Monitoring and control of traffic networks represent alternative, inexpensive strategies to minimize traffic congestion. As the number of traffic sensors is naturally constrained by budgetary requirements, real-time estimation of traffic…

系统与控制 · 计算机科学 2019-11-12 Sebastian A. Nugroho , Ahmad F. Taha , Christian Claudel

In this study, we start from a Follow-the-Leaders model for traffic flow that is based on a weighted harmonic mean (in Lagrangian coordinates) of the downstream car density. This results in a nonlocal Lagrangian partial differential…

偏微分方程分析 · 数学 2024-01-09 Giuseppe M. Coclite , Kenneth H. Karlsen , Nils Henrik Risebro

Nowadays, traffic monitoring systems have access to real time data, e.g. through GPS devices. We propose a new traffic model able to take into account these data and, hence, able to describe the effects of unpredictable accidents. The well…

偏微分方程分析 · 数学 2014-11-11 Rinaldo M. Colombo , Francesca Marcellini

We study a nonlocal traffic flow model with an Arrhenius type look-ahead interaction. We show a sharp critical threshold condition on the initial data which distinguishes the global smooth solutions and finite time wave break-down.

偏微分方程分析 · 数学 2019-05-14 Yongki Lee , Changhui Tan

In this work, we study a Lighthill-Whitham-Richard (LWR) type traffic flow model with a non-local flux. We identify a threshold condition for shock formation for traffic flow models with Arrhenius look-ahead-behind (i.e., nudging) dynamics…

偏微分方程分析 · 数学 2023-04-18 Yi Hu , Yongki Lee , Shijun Zheng

We present a new family of second-order traffic flow models, extending the Aw-Rascle-Zhang (ARZ) model to incorporate nonlocal interactions. Our model includes a specific nonlocal Arrhenius-type look-ahead slowdown factor. We establish both…

偏微分方程分析 · 数学 2024-03-14 Thomas Hamori , Changhui Tan

Existing data-driven and feedback traffic control strategies do not consider the heterogeneity of real-time data measurements. Besides, traditional reinforcement learning (RL) methods for traffic control usually converge slowly for lacking…

系统与控制 · 电气工程与系统科学 2022-09-14 C. Chen , Y. P. Huang , W. H. K. Lam , T. L. Pan , S. C. Hsu , A. Sumalee , R. X. Zhong

The uncertainty in human driving behaviors leads to stop-and-go instabilities in freeway traffic. The traffic dynamics are typically modeled by the Aw-Rascle-Zhang (ARZ) Partial Differential Equation (PDE) models, in which the relaxation…

最优化与控制 · 数学 2025-09-29 Kaijing Lyu , Junmin Wang , Yihuai Zhang , Huan Yu
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