English
Related papers

Related papers: Dynamic Traffic Reconstruction using Probe Vehicle…

200 papers

Accurate traffic flow prediction, a hotspot for intelligent transportation research, is the prerequisite for mastering traffic and making travel plans. The speed of traffic flow can be affected by roads condition, weather, holidays, etc.…

Machine Learning · Computer Science 2022-12-15 Jianlei Kong , Xiaomeng Fan , Xue-Bo Jin , Min Zuo

In this paper, we introduce a traffic flow model based on a microscopic follow-the-leader model, while enforcing maximal constraints on the density and velocity of the flow. The related macroscopic model can be represented in conservative…

Numerical Analysis · Mathematics 2026-01-21 Yuanhong Wu , Shuzhi Liu , Qinglong Zhang

The paper analyzes traffic data of the Dutch freeway A9 with respect to certain aspects which are relevant for traffic flow modeling as well as the calibration of model parameters and functions. Apart from the dynamic velocity distribution,…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

The rule 184 fuzzy cellular automaton is regarded as a mathematical model of traffic flow because it contains the two fundamental traffic flow models, the rule 184 cellular automaton and the Burgers equation, as special cases. We show that…

Pattern Formation and Solitons · Physics 2020-04-14 Kohei Higashi , Junkichi Satsuma , Tetsuji Tokihiro

This paper presents a new approach to the modeling of vehicular traffic flows on road networks based on kinetic equations. While in the literature the problem has been extensively studied by means of macroscopic hydrodynamic models, to date…

Physics and Society · Physics 2014-11-12 Luisa Fermo , Andrea Tosin

Traditional DTA models of large cities suffer from prohibitive computation times and calibration/validation can become major challenges faced by practitioners. The empirical evidence in 2008 in support of the existence of a Macroscopic…

Analysis of PDEs · Mathematics 2018-12-04 Rafegh Aghamohammadi , Jorge A. Laval

Cities increasingly rely on vehicle trajectory data to monitor traffic conditions; however, such data offer only a partial and spatially heterogeneous view of network dynamics and exhibit systematic biases across corridors and time periods.…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Antonina Kosikova , Mehmet Kerem Turkcan , Ahmed Darrat , Andrew Smyth

In several application fields like daily pluviometry data modelling, or motion analysis from image sequences, observations contain two components of different nature. A first part is made with discrete values accounting for some symbolic…

Statistics Theory · Mathematics 2008-03-27 Cécile Hardouin , Jian-Feng Yao

This paper focuses on the problem of estimating historical traffic volumes between sparsely-located traffic sensors, which transportation agencies need to accurately compute statewide performance measures. To this end, the paper examines…

Machine Learning · Statistics 2018-10-19 Przemysław Sekuła , Nikola Marković , Zachary Vander Laan , Kaveh Farokhi Sadabadi

This contribution summarizes and explains various principles from physics which are used for the simulation of traffic flows in large street networks, the modeling of destination, transport mode, and route choice, or the simulation of urban…

Physics and Society · Physics 2015-06-17 Dirk Helbing , Kai Nagel

In this article we use real traffic data to confirm that vehicle velocities follow Gaussian distribution in steady state traffic regimes (free-flow, and congestion). We also show that in the transition between free-flow and congestion, the…

Networking and Internet Architecture · Computer Science 2016-05-20 Sherif M. Abuelenin , Adel Y. Abul-Magd

Single-vehicle data of freeway traffic as well as selected Floating-Car (FC) data are analyzed in great detail. Traffic states are distinguished by means of aggregated data. We propose a method for a quantitative classification of these…

Statistical Mechanics · Physics 2007-05-23 L. Neubert , L. Santen , A. Schadschneider , M. Schreckenberg

The ability to predict traffic flow over time for crowded areas during rush hours is increasingly important as it can help authorities make informed decisions for congestion mitigation or scheduling of infrastructure development in an area.…

Machine Learning · Computer Science 2023-04-03 Zann Koh , Yan Qin , Yong Liang Guan , Chau Yuen

Learning-based approaches are increasingly popular for traffic control problems. However, these approaches are applied typically as black boxes with limited theoretical guarantees and interpretability. In this paper, we consider the theory…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yidan Wu , Jianan Zhang , Li Jin

A partial differential equation governing the global evolution of the joint probability distribution of an arbitrary number of local flow observations, drawn randomly from a control volume, is derived and applied to examples involving…

Fluid Dynamics · Physics 2026-01-14 John Craske , Paul Mannix

Urban vibrancy reflects the dynamic human activity within urban spaces and is often measured using mobile data that captures floating population trends. This study proposes a novel approach to derive Urban Vibrancy embeddings from real-time…

Machine Learning · Computer Science 2026-02-26 Sumin Han , Jisun An , Dongman Lee

Moving bottlenecks, such as slow-driving vehicles, are commonly thought of as impediments to efficient traffic flow. Here, we demonstrate that in certain situations, moving bottlenecks---properly controlled---can actually be beneficial for…

Physics and Society · Physics 2017-02-28 Rabie A. Ramadan , Benjamin Seibold

Based on simulations with the ``intelligent driver model'', a microscopic traffic model, we explain the recently discovered transition from free over ``synchronized'' traffic to stop-and-go patterns [B. S. Kerner, Phys. Rev. Lett. 81, 3797…

Statistical Mechanics · Physics 2007-05-23 Martin Treiber , Dirk Helbing

We propose three models for the traffic of vehicles within a network formed by sites (cities, car-rental agencies, parking lots, etc.) and connected by two-way arteries (roads, highways), that allow forecasting the vehicular flux in a…

Physics and Society · Physics 2017-10-25 Dino Otero , Diógenes Galetti , Salomon S. Mizrahi

This work studies a macroscopic traffic flow model driven by a system of nonlinear hyperbolic partial differential equations. Using Lie symmetry analysis, we determine the infinitesimal generators and construct an optimal system of…

Analysis of PDEs · Mathematics 2025-08-26 Urvashi Joshi , Aniruddha Kumar Sharma , Rajan Arora