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We study a generalized Follow-the-Leader model where the driver considers the position of an arbitrary but finite number of vehicles ahead, as well as the position of the vehicle directly behind the driver. It is proved that this model…

Analysis of PDEs · Mathematics 2024-05-08 Helge Holden , Nils Henrik Risebro

The main motivation of this work is to assess the validity of a LWR traffic flow model to model measurements obtained from trajectory data, and propose extensions of this model to improve it. A formulation for a discrete dynamical system is…

Signal Processing · Electrical Eng. & Systems 2023-12-06 Mike Pereira , Pinar Boyraz Baykas , Balázs Kulcsár , Annika Lang

We study the derivation of macroscopic traffic models out of optimal speed and follow-the-leader particle dynamics as hydrodynamic limits of non-local Povzner-type kinetic equations. As a first step, we show that optimal speed vehicle…

Statistical Mechanics · Physics 2023-03-13 Felisia Angela Chiarello , Andrea Tosin

A number of deep reinforcement-learning (RL) approaches propose to control traffic signals. In this work, we study the robustness of such methods along two axes. First, sensor failures and GPS occlusions create missing-data challenges and…

Machine Learning · Computer Science 2023-06-09 Tianyu Shi , Francois-Xavier Devailly , Denis Larocque , Laurent Charlin

Autonomous driving is a major paradigm shift in transportation, with the potential to enhance safety, optimize traffic congestion, and reduce fuel consumption. Although autonomous vehicles rely on advanced sensors and on-board computing…

Networking and Internet Architecture · Computer Science 2025-04-22 Marcello Bullo , Amir Ashtari Gargari , Paolo Testolina , Michele Zorzi , Marco Giordani

Conventional reinforcement learning (RL) algorithms exhibit broad generality in their theoretical formulation and high performance on several challenging domains when combined with powerful function approximation. However, developing RL…

Machine Learning · Computer Science 2023-11-07 Joseph Modayil , Zaheer Abbas

In air traffic management (ATM) all necessary operations (tactical planing, sector configuration, required staffing, runway configuration, routing of approaching aircrafts) rely on accurate measurements and predictions of the current…

Computer Vision and Pattern Recognition · Computer Science 2014-04-28 Harald Ganster , Martina Uray , Sylwia Steginska , Gerardus Croonen , Rudolf Kaltenböck , Karin Hennermann

This paper aims to quantify uncertainty in traffic state estimation (TSE) using the generative adversarial network based physics-informed deep learning (PIDL). The uncertainty of the focus arises from fundamental diagrams, in other words,…

Machine Learning · Computer Science 2022-11-11 Zhaobin Mo , Yongjie Fu , Xuan Di

Rutting of asphalt pavements is a crucial design criterion in various pavement design guides. A good road transportation base can provide security for the transportation of oil and gas in road transportation. This study attempts to develop…

Artificial Intelligence · Computer Science 2023-05-12 Zhuoxuan Li , Iakov Korovin , Xinli Shi , Sergey Gorbachev , Nadezhda Gorbacheva , Wei Huang , Jinde Cao

The societal impact of traffic is a long-standing and complex problem. We focus on the estimation of ozone production due to vehicular traffic. For this, we couple a system of conservation laws for vehicular traffic, an emission model, and…

Numerical Analysis · Mathematics 2020-10-27 Caterina Balzotti , Maya Briani , Barbara De Filippo , Benedetto Piccoli

Reinforcement learning (RL) has attracted increasing interest for adaptive traffic signal control due to its model-free ability to learn control policies directly from interaction with the traffic environment. However, several challenges…

Machine Learning · Computer Science 2026-03-17 Dickens Kwesiga , Angshuman Guin , Khaled Abdelghany , Michael Hunter

This paper is concerned with highway traffic estimation using traffic sensing data, in a Lagrangian-based modeling framework. We consider the Lighthill-Whitham-Richards (LWR) model (Lighthill and Whitham, 1955; Richards, 1956) in…

Analysis of PDEs · Mathematics 2012-11-21 Ke Han , Tao Yao , Terry L. Friesz

In this paper we propose a multiscale traffic model, based on the family of Generic Second Order Models, which integrates multiple trajectory data into the velocity function. This combination of a second order macroscopic model with…

Numerical Analysis · Mathematics 2022-07-29 Caterina Balzotti , Maya Briani

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…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Chenguang Zhao , Huan Yu

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…

Analysis of PDEs · Mathematics 2021-08-16 Wancheng Sheng , Qinglong Zhang

A driving algorithm that aligns with good human driving practices, or at the very least collaborates effectively with human drivers, is crucial for developing safe and efficient autonomous vehicles. In practice, two main approaches are…

Multiagent Systems · Computer Science 2026-02-10 Zhihao Zhang , Keith Redmill , Chengyang Peng , Bowen Weng

World models have recently emerged as a promising approach to reinforcement learning (RL), achieving state-of-the-art performance across a wide range of visual control tasks. This work aims to obtain a deep understanding of the robustness…

Machine Learning · Computer Science 2025-01-03 Qiaoyi Fang , Weiyu Du , Hang Wang , Junshan Zhang

This paper presents a comprehensive review of trajectory data of Advanced Driver Assistance System equipped-vehicle, with the aim of precisely model of Autonomous Vehicles (AVs) behavior. This study emphasizes the importance of trajectory…

Applications · Statistics 2024-12-31 Hang Zhou , Ke Ma , Xiaopeng Li

A significant number of traffic crashes are secondary crashes that occur because of an earlier incident on the road. Thus, early detection of traffic incidents is crucial for road users from safety perspectives with a potential to reduce…

Computers and Society · Computer Science 2026-02-10 Sudipta Roy , Samiul Hasan

In the application of autoregressive models the order of the model is often estimated using either a sequence of likelihood ratio tests, a likelihood based information criterion, or a residual based test. The properties of such procedures…

Statistics Theory · Mathematics 2007-06-13 Bent Nielsen