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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…

Systems and Control · Computer Science 2019-11-12 Sebastian A. Nugroho , Ahmad F. Taha , Christian Claudel

We propose a Physics Informed Learning framework for reconstructing traffic density from sparse trajectory data. The approach combines a second-order Aw-Rascle and Zhang model with a first-order training stage to estimate the equilibrium…

Systems and Control · Electrical Eng. & Systems 2026-04-10 S. Betancur Giraldo , J. Mårtensson , M. Barreau

In this paper, we derive second order hydrodynamic traffic models from kinetic-controlled equations for driver-assist vehicles. At the vehicle level we take into account two main control strategies synthesising the action of adaptive cruise…

Statistical Mechanics · Physics 2021-12-30 Giacomo Dimarco , Andrea Tosin , Mattia Zanella

This paper presents two case studies where a macroscopic model-based approach for traffic state estimation, which we have recently developed, is employed and tested. The estimation methodology is developed for a "mixed" traffic scenario,…

Systems and Control · Computer Science 2015-09-22 Claudio Roncoli , Nikolaos Bekiaris-Liberis , Markos Papageorgiou

The thesis deals with the Aw-Rascle-Zhang model for traffic. We have applied the model to describe the influence of a large and slow vehicle (a bus or a truck) on the traffic. The trajectory of the bus is given by an ODE. The model can also…

Analysis of PDEs · Mathematics 2016-05-03 Stefano Villa

Emerging connected-vehicle (CV) data shows great potential in urban traffic monitoring and forecasting. However, prior CV-based studies on arterial traffic measures prediction are limited to simulated high-penetration scenarios or small…

Networking and Internet Architecture · Computer Science 2026-03-06 Lei Han , Mohamed Abdel-Aty , Yang-Jun Joo

Traffic state estimation (TSE) becomes challenging when probe-vehicle penetration is low and observations are spatially sparse. Pure data-driven methods lack physical explanations and have poor generalization when observed data is sparse.…

Machine Learning · Computer Science 2025-12-04 Yanlin Chen , Kehua Chen , Yinhai Wang

Accurate estimation of the traffic state over a network is essential since it is the starting point for designing and implementing any traffic management strategy. Hence, traffic operators and users of a transportation network can make…

Computers and Society · Computer Science 2022-01-04 Alexander Genser , Noel Hautle , Michail Makridis , Anastasios Kouvelas

A macroscopic model-based approach for estimation of the traffic state, specifically of the (total) density and flow of vehicles, is developed for the case of "mixed" traffic, i.e., traffic comprising both ordinary and connected vehicles.…

Optimization and Control · Mathematics 2015-04-28 Nikolaos Bekiaris-Liberis , Claudio Roncoli , Markos Papageorgiou

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

We develop an input delay-compensating design for stabilization of an Aw-Rascle-Zhang (ARZ) traffic model in congested regime which is governed by a $2\times 2$ first-order hyperbolic nonlinear PDE. The traffic flow consists of both…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Jie Qi , Shurong Mo , Miroslav Krstic

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

Connected vehicles (CVs) can provide numerous new data via vehicle-to-vehicle or vehicle-to-infrastructure communication. These data can in turn be used to facilitate real-time traffic state estimation. In this paper, we focus on ramp queue…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Yu Tang , Kaan Ozbay , Li Jin

Real-time estimation of vehicle locations and speeds is crucial for developing many beneficial transportation applications in traffic management and control, e.g., adaptive signal control. Recent advances in communication technologies…

Computer Vision and Pattern Recognition · Computer Science 2024-10-02 Jiachen Ye , Dingyu Wang , Shaocheng Jia , Xin Pei , Zi Yang , Yi Zhang , S. C. Wong

Anomaly detection in connected autonomous vehicles (CAVs) is crucial for maintaining safe and reliable transportation networks, as CAVs can be susceptible to sensor malfunctions, cyber-attacks, and unexpected environmental disruptions. This…

Machine Learning · Computer Science 2025-07-01 Prathyush Kumar Reddy Lebaku , Lu Gao , Yunpeng Zhang , Zhixia Li , Yongxin Liu , Tanvir Arafin

Estimating the speed of vehicles using traffic cameras is a crucial task for traffic surveillance and management, enabling more optimal traffic flow, improved road safety, and lower environmental impact. Transportation-dependent systems,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Lucas Liebe , Franz Sauerwald , Sylwester Sawicki , Matthias Schneider , Leo Schuhmann , Tolga Buz , Paul Boes , Ahmad Ahmadov , Gerard de Melo

In this paper, the problem of distributed state estimation of human-driven vehicles (HDVs) by connected autonomous vehicles (CAVs) is investigated in mixed traffic transportation systems. Toward this, a distributed observable state-space…

Systems and Control · Electrical Eng. & Systems 2025-11-11 M. Doostmohammadian , U. A. Khan , N. Meskin

Urban traffic state estimation is pivotal in furnishing precise and reliable insights into traffic flow characteristics, thereby enabling efficient traffic management. Traditional traffic estimation methodologies have predominantly hinged…

Signal Processing · Electrical Eng. & Systems 2023-09-01 Yunfei Zhang , Mario Ilic , Klaus Bogenberger

Today vehicles are becoming a rich source of data as they are equipped with localization or tracking and with wireless communications technologies. With the increasing interest in automated- or self- driving technologies, vehicles are also…

Applications · Statistics 2020-11-19 Gurcan Comert , Mecit Cetin

This paper deals with the Aw-Rascle-Zhang model for traffic flow on uni-directional road networks. For the conservation of the mass and the generalized momentum, we construct weak solutions for Riemann problems at the junctions. We…

Numerical Analysis · Mathematics 2020-05-26 Simone Göttlich , Michael Herty , Salissou Moutari , Jennifer Weißen