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Lane changing is one of the most common maneuvers on motorways. Although, macroscopic traffic models are well known for their suitability to describe fast moving crowded traffic, most of these models are generally developed in one…

数值分析 · 数学 2019-03-20 Michael Herty , Salissou Moutari , Giuseppe Visconti

A simple macroscopic model for the vehicular traffic flow with hysteresis is proposed. The model includes drivers' hysteresis behavior into the classical Lighthill-Whitham-Richard (LWR) model. One novelty of the model is how the hysteresis…

偏微分方程分析 · 数学 2018-11-02 Andrea Corli , Haitao Fan

We prove existence and uniqueness of solutions to a transport equation modelling vehicular traffic in which the velocity field depends non-locally on the downstream traffic density via a discontinuous anisotropic kernel. The result is…

偏微分方程分析 · 数学 2015-10-16 Paola Goatin , Francesco Rossi

We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic following the traditional Lighthill-Whitham-Richards model where the velocity in each lane depends only on the density in the same lane. The model…

偏微分方程分析 · 数学 2018-12-05 Helge Holden , Nils Henrik Risebro

This paper introduces a novel approach to PDE boundary control design using neural operators to alleviate stop-and-go instabilities in congested traffic flow. Our framework leverages neural operators to design control strategies for traffic…

机器学习 · 计算机科学 2023-12-19 Yihuai Zhang , Ruiguo Zhong , Huan Yu

Work zone is one of the major causes of non-recurrent traffic congestion and road incidents. Despite the significance of its impact, studies on predicting the traffic impact of work zones remain scarce. In this paper, we propose a data…

机器学习 · 计算机科学 2024-06-03 Qinhua Jiang , Xishun Liao , Yaofa Gong , Jiaqi Ma

Uncertainty and delayed reactions in human driving behavior lead to stop-and-go traffic congestion on freeways. The freeway traffic dynamics are governed by the Aw-Rascle-Zhang (ARZ) traffic Partial Differential Equation (PDE) models with…

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

Machine learning models can represent climate processes that are nonlocal in horizontal space, height, and time, often by combining information across these dimensions in highly nonlinear ways. While this can improve predictive skill, it…

机器学习 · 计算机科学 2026-05-14 Savannah L. Ferretti , Jerry Lin , Sara Shamekh , Jane W. Baldwin , Michael S. Pritchard , Tom Beucler

Predicting the behavior of surrounding traffic participants is crucial for advanced driver assistance systems and autonomous driving. Most researchers however do not consider contextual knowledge when predicting vehicle motion. Extending…

计算机视觉与模式识别 · 计算机科学 2020-12-29 Florian Wirthmüller , Julian Schlechtriemen , Jochen Hipp , Manfred Reichert

Due to urbanization and the increase of individual mobility, in most metropolitan areas around the world congestion and inefficient traffic management occur. Highly necessary intelligent traffic control systems, which are able to reduce…

机器学习 · 计算机科学 2019-05-13 Simon F. G. Ehlers

Understanding the effect of road geometry on human driving behaviour is essential for both road safety studies and traffic microsimulation. Research on this topic is still limited, mainly focusing on free-flow traffic and not adequately…

物理与社会 · 物理学 2025-01-24 Fabrizio Pelella , Gaetano Zaccaria , Vincenzo Punzo , Marcello Montanino

Forecasting the future traffic flow distribution in an area is an important issue for traffic management in an intelligent transportation system. The key challenge of traffic prediction is to capture spatial and temporal relations between…

机器学习 · 计算机科学 2019-04-15 Shiheng Ma , Jingcai Guo , Song Guo , Minyi Guo

Predicting traffic conditions has been recently explored as a way to relieve traffic congestion. Several pioneering approaches have been proposed based on traffic observations of the target location as well as its adjacent regions, but they…

人工智能 · 计算机科学 2023-08-22 Xingyi Cheng , Ruiqing Zhang , Jie Zhou , Wei Xu

Traffic prediction is necessary not only for management departments to dispatch vehicles but also for drivers to avoid congested roads. Many traffic forecasting methods based on deep learning have been proposed in recent years, and their…

机器学习 · 计算机科学 2020-05-12 Jichen Wang , Weiguo Zhu , Yongqi Sun , Chunzi Tian

We develop reinforcement learning (RL) boundary controllers to mitigate stop-and-go traffic congestion on a freeway segment. The traffic dynamics of the freeway segment are governed by a macroscopic Aw-Rascle-Zhang (ARZ) model, consisting…

最优化与控制 · 数学 2021-01-18 Huan Yu , Saehong Park , Alexandre Bayen , Scott Moura , Miroslav Krstic

For a class of data-fitted macroscopic traffic models, the influence of the choice of the stagnation density on the model accuracy is investigated. This work builds on an established framework of data-fitted first-order…

物理与社会 · 物理学 2013-08-05 Shimao Fan , Benjamin Seibold

Congestion prediction represents a major priority for traffic management centres around the world to ensure timely incident response handling. The increasing amounts of generated traffic data have been used to train machine learning…

机器学习 · 计算机科学 2019-07-18 Adriana-Simona Mihaita , Haowen Li , Zongyang He , Marian-Andrei Rizoiu

In this work, we introduce a novel first-order nonlocal partial differential equation with saturated diffusion to describe the macroscopic behavior of traffic dynamics. We show how the proposed model is better in comparison with existing…

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

This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equations. The network is characterized by bounded buffers at…

数值分析 · 数学 2020-04-22 Theresa Dambach , Simone Göttlich , Stephan Knapp