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Understanding, predicting and controlling laminar-turbulent boundary-layer transition is crucial for the next generation aircraft design. However, in real flight experiments, or wind tunnel tests, often only sparse sensor measurements can…

We propose a framework for constructing microscopic traffic models from microscopic acceleration patterns that can in principle be experimental measured and proper averaged. The exact model thus obtained can be used to justify the…

Adaptation and Self-Organizing Systems · Physics 2015-04-07 Bo Yang , Xihua Xu , John Z. F. Pang , Christopher Monterola

We discuss a nonlocal version of the Generalized Aw-Rascle-Zhang model, a second-order vehicular traffic model where the empty road velocity is a Lagrangian marker governed by a transport equation. The evolution of the car density is…

Analysis of PDEs · Mathematics 2025-05-16 Elio Marconi , Laura V. Spinolo

A microscopic theory of control of spatial-temporal congested traffic pattern at freeway bottlenecks is presented. Based on empirical spatial-temporal features of congested patterns at freeway bottlenecks which have recently been found,…

Statistical Mechanics · Physics 2009-11-10 Boris S. Kerner

This work presents a collapsed generalized Aw-Rascle-Zhang (CGARZ) model, which fits into a generic second order model (GSOM) framework. GSOMs augment the evolution of the traffic density by a second state variable characterizing a property…

Physics and Society · Physics 2017-02-14 Shimao Fan , Ye Sun , Benedetto Piccoli , Benjamin Seibold , Daniel B. Work

This study addresses the challenge of estimating traffic states for road links. We propose an innovative approach that leverages partial trajectory data captured by camera-equipped probe vehicles traveling in the opposite lane. The…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Tanay Rastogi , Michele D. Simoni , Anders Karlström

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

An extended multi-class Aw-Rascle (AR) model with pressure term described as a function of area occupancy defined in form of proportional densities is presented. Two vehicle classes that is; cars and motorcycles are considered based on an…

Analysis of PDEs · Mathematics 2024-05-16 Nanyondo Josephine , Henry Kasumba

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…

Machine Learning · Computer Science 2024-06-03 Qinhua Jiang , Xishun Liao , Yaofa Gong , Jiaqi Ma

In this paper, we introduce a new conservation-based approach to model traffic dynamics, and apply the model predictive control (MPC) approach to control the boundary traffic inflow and outflow, so that the traffic congestion is reduced. We…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Xun Liu , Hossein Rastgoftar

We consider the Follow-The-Leader approximation of the Aw-Rascle-Zhang (ARZ) model for traffic flow in a multi-population formulation. We prove rigorous convergence to weak solutions of the ARZ system in the many particle limit in presence…

Analysis of PDEs · Mathematics 2016-08-16 M. Di Francesco , S. Fagioli , M. D. Rosini

We analyze traffic data from a highway section containing one effective on-ramp. Based on two criteria, local velocity variation patterns and expansion (or nonexpansion) of congested regions, three distinct congested traffic states are…

Condensed Matter · Physics 2009-10-31 H. Y. Lee , H. -W. Lee , D. Kim

Traffic flow modeling spans a wide range of mathematical approaches, from microscopic descriptions of individual vehicle dynamics to macroscopic models based on aggregate quantities. A fundamental challenge in macroscopic modeling lies in…

Optimization and Control · Mathematics 2025-12-18 Stephan Gerster , Giuseppe Visconti

Traffic state estimation (TSE) falls methodologically into three categories: model-driven, data-driven, and model-data dual-driven. Model-driven TSE relies on macroscopic traffic flow models originated from hydrodynamics. Data-driven TSE…

Machine Learning · Computer Science 2025-08-12 Hongxin Yu , Yibing Wang , Fengyue Jin , Meng Zhang , Anni Chen

Macroscopic traffic flow is stochastic, but the physics-informed deep learning methods currently used in transportation literature embed deterministic PDEs and produce point-valued outputs; the stochasticity of the governing dynamics plays…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Wuping Xin

This paper proposes a scalable and interpretable framework for lane-wise highway traffic anomaly detection, leveraging multi-modal time series data extracted from surveillance cameras. Unlike traditional sensor-dependent methods, our…

Image and Video Processing · Electrical Eng. & Systems 2025-05-06 Mei Qiu , William Lorenz Reindl , Yaobin Chen , Stanley Chien , Shu Hu

We present in this paper a method for the estimation of traffic state at road junctions controlled with traffic lights. We assume mixed traffic where a proportion of vehicles are equipped with communication resources. The estimation of road…

Systems and Control · Electrical Eng. & Systems 2022-09-01 Cyril Nguyen Van Phu , Nadir Farhi

Existing methods for traffic signal design are either too simplistic to capture realistic traffic characteristics or too complicated to be mathematically tractable. In this study, we attempts to fill the gap by presenting a new method based…

Dynamical Systems · Mathematics 2015-10-06 Wen-Long Jin , Yifeng Yu

This paper develops an automatic freeway bottleneck identification and visualization algorithm using a combination of image processing techniques and traffic flow theory. Unlike previous studies that are based solely on loop detector data,…

Image and Video Processing · Electrical Eng. & Systems 2019-11-19 Hao Chen , Hesham A Rakha

Historically, traffic modelling approaches have taken either a particle-like (microscopic) approach, or a gas-like (meso- or macroscopic) approach. Until recently with the introduction of mean-field games to the controls community, there…

Optimization and Control · Mathematics 2023-02-06 Amoolya Tirumalai , John S. Baras