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This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by…

Optimization and Control · Mathematics 2021-03-17 Liudmila Tumash , Carlos Canudas-de-Wit , Maria Laura Delle Monache

We present an advanced interpolation method for estimating smooth spatiotemporal profiles for local highway traffic variables such as flow, speed and density. The method is based on stationary detector data as typically collected by traffic…

Data Analysis, Statistics and Probability · Physics 2011-08-25 Martin Treiber , Arne Kesting , R. Eddie Wilson

In this paper, a new practice-ready method for the real-time estimation of traffic conditions and travel times on highways is introduced. First, after a principal component analysis, observation days of a historical dataset are clustered.…

Physics and Society · Physics 2020-11-13 Nicolas Chiabaut , Rémi Faitout

This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely…

Mathematical Physics · Physics 2015-06-15 Chun-Xiu Wu , Peng Zhang , S. C. Wong , Keechoo Choi

This article investigates the use of a model-based neural-network for the traffic reconstruction problem using noisy measurements coming from probe vehicles. The traffic state is assumed to be the density only, modeled by a partial…

Optimization and Control · Mathematics 2020-11-18 John Liu , Matthieu Barreau , Mladen Cicic , Karl H. Johansson

We derive macroscopic traffic equations from specific gas-kinetic equations, dropping some of the assumptions and approximations made in previous papers. The resulting partial differential equations for the vehicle density and average…

Statistical Mechanics · Physics 2009-10-31 Martin Treiber , Ansgar Hennecke , Dirk Helbing

To effectively manage vessel traffic and alleviate congestion on busy inland waterways, a comprehensive understanding of vessel traffic flow characteristics is crucial. However, limited data availability has resulted in minimal research on…

Computational Engineering, Finance, and Science · Computer Science 2024-10-10 Wenzhang Yang , Peng Liao , Shangkun Jiang , Hao Wang

Intersections are one of the main sources of congestion and hence, it is important to understand traffic behavior at intersections. Particularly, in developing countries with high vehicle density, mixed traffic type, and lane-less driving…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Debaditya Roy , K. Naveen Kumar , C. Krishna Mohan

Modeling how network-level traffic flow changes in the urban environment is useful for decision-making in transportation, public safety and urban planning. The traffic flow system can be viewed as a dynamic process that transits between…

Machine Learning · Computer Science 2022-11-22 Xiaoliang Lei , Hao Mei , Bin Shi , Hua Wei

In the present paper a review and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given. Macroscopic traffic equations with multi-valued fundamental…

Numerical Analysis · Mathematics 2015-03-20 Raul Borsche , Mark Kimathi , Axel Klar

We consider the problem of traffic density reconstruction using measurements from probe vehicles (PVs) with a low penetration rate. In other words, the number of sensors is small compared to the number of vehicles on the road. The model…

Optimization and Control · Mathematics 2021-09-23 Matthieu Barreau , Miguel Aguiar , John Liu , Karl Henrik Johansson

With the emergence of autonomous vehicles, it is important to understand their impact on the transportation system. However, conventional traffic simulations are time-consuming. In this paper, we introduce an analytical traffic model for…

Multiagent Systems · Computer Science 2018-09-10 Changliu Liu , Mykel J. Kochenderfer

The relation between the fundamental observables of traffic flow (i.e., vehicle density, flow rate, and average velocity) is of great importance for the study of traffic phenomena. Probably the most common source of such data are inductive…

Applications · Statistics 2014-12-30 Florian Knorr , Thomas Zaksek , Johannes Brügmann , Michael Schreckenberg

Space-time visualizations of macroscopic or microscopic traffic variables is a qualitative tool used by traffic engineers to understand and analyze different aspects of road traffic dynamics. We present a deep learning method to learn the…

Machine Learning · Computer Science 2022-04-12 Bilal Thonnam Thodi , Zaid Saeed Khan , Saif Eddin Jabari , Monica Menendez

The present paper proposes a novel interpretation of the widely scattered states (called synchronized traffic) stimulated by Kerner's hypotheses about the existence of a multitude of metastable states in the fundamental diagram. Using…

Soft Condensed Matter · Physics 2009-11-07 Ihor Lubashevsky , Reinhard Mahnke , Peter Wagner , Sergey Kalenkov

In transportation network analysis, various types of road network data can be used even when focusing on the same region. Since different road network datasets can make different performance in analyses, it is necessary to compare them and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-21 Hengyi Zhong , Toru Seo

Many-particle simulations of vehicle interactions have been quite successful in the qualitative reproduction of observed traffic patterns. However, the assumed interactions could not be measured, as human interactions are hard to quantify…

Statistical Mechanics · Physics 2009-11-10 Milan Krbalek , Dirk Helbing

This paper deals with the modeling and mathematical analysis of vehicular traffic phenomena according to a kinetic theory approach, where the microscopic state of vehicles is described by: (i) position, (ii) velocity, as a continuous…

Analysis of PDEs · Mathematics 2021-03-26 J. Calvo , J. Nieto , M. Zagour

Traffic microsimulation is a crucial tool that uses microscopic traffic models, such as car-following and lane-change models, to simulate the trajectories of individual agents. This digital platform allows for the assessment of the impact…

Applications · Statistics 2024-10-01 Yanbing Wang , Felipe de Souza , Dominik Karbowski

In this paper, we aim at developing new methods to join machine learning techniques and macroscopic differential models for vehicular traffic estimation and forecast. It is well known that data-driven and model-driven approaches have…

Machine Learning · Computer Science 2024-12-06 Maya Briani , Emiliano Cristiani , Elia Onofri
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