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Forecasting traffic flows is a central task in intelligent transportation system management. Graph structures have shown promise as a modeling framework, with recent advances in spatio-temporal modeling via graph convolution neural…

Machine Learning · Computer Science 2021-10-05 Yuanjie Lu , Parastoo Kamranfar , David Lattanzi , Amarda Shehu

We analyze the unforced and deterministically forced Burgers equation in the framework of the (diffusive) interpolating dynamics that solves the so-called Schr\"{o}dinger boundary data problem for the random matter transport. This entails…

Condensed Matter · Physics 2009-10-31 P. Garbaczewski , G. Kondrat , R. Olkiewicz

This paper presents a new mathematical model of vehicular traffic, based on the methods of the generalized kinetic theory, in which the space of microscopic states (position and velocity) of the vehicles is genuinely discrete. While in the…

Mathematical Physics · Physics 2013-11-12 Luisa Fermo , Andrea Tosin

We explore a connection of the forced Burgers equation with the Schr\"{o}dinger (diffusive) interpolating dynamics in the presence of deterministic external forces. This entails an exploration of the consistency conditions that allow to…

Condensed Matter · Physics 2009-10-31 P. Garbaczewski , G. Kondrat

This paper demonstrates accurate traffic modeling and forecast using stochastic cell-automata (CA) and distributed fiber-optic sensing (DFOS). Traffic congestion is a dominant issue in highways. To reduce congestion, real-time traffic…

Cellular Automata and Lattice Gases · Physics 2025-11-24 Yoshiyuki Yajima , Takahiro Kumura

The balanced vehicular traffic model is a macroscopic model for vehicular traffic flow. We use this model to study the traffic dynamics at highway bottlenecks either caused by the restriction of the number of lanes or by on-ramps or…

Physics and Society · Physics 2007-05-23 Florian Siebel , Wolfram Mauser , Salissou Moutari , Michel Rascle

This paper deals with traffic control at motorway bottlenecks assuming the existence of an unknown, time-varying, Fundamental Diagram (FD). The FD may change over time due to different traffic compositions, e.g., light and heavy vehicles,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Farzam Tajdari , Claudio Roncoli

This work addresses the task of modeling spatiotemporal traffic patterns directly from overhead imagery, which we refer to as image-driven traffic modeling. We extend this line of work and introduce a multi-modal, multi-task…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Scott Workman , Armin Hadzic

The Gipps car-following model is a widely used tool for studying and simulation traffic dynamics. Despite its popularity an often disregarded property is that under heterogeneous parametrization on the individual vehicles in the traffic…

Adaptation and Self-Organizing Systems · Physics 2019-02-14 Leonhard Lücken

Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODEs describe the evolution of regular cars and AVs. In this…

Analysis of PDEs · Mathematics 2020-04-21 Mauro Garavello , Paola Goatin , Thibault Liard , Benedetto Piccoli

We study a car-following model of traffic flow which assumes only that a car's acceleration depends on its own speed, the headway ahead of it, and the rate of change of headway, with only minimal assumptions about the functional form of…

Pattern Formation and Solitons · Physics 2026-04-13 Douglas A. Kurtze

The increasing complexity of mobility plus the growing population in cities, together with the importance of privacy when sharing data from vehicles or any device, makes traffic forecasting that uses data from infrastructure and citizens an…

Machine Learning · Computer Science 2019-10-30 Pedro Herruzo , Josep L. Larriba-Pey

Predicting travel times of vehicles in urban settings is a useful and tangible quantity of interest in the context of intelligent transportation systems. We address the problem of travel time prediction in arterial roads using data sampled…

Artificial Intelligence · Computer Science 2017-11-17 Avinash Achar , Venkatesh Sarangan , R Rohith , Anand Sivasubramaniam

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

Traffic waves are phenomena that emerge when the vehicular density exceeds a critical threshold. Considering the presence of increasingly automated vehicles in the traffic stream, a number of research activities have focused on the…

Autonomous agents must be able to safely interact with other vehicles to integrate into urban environments. The safety of these agents is dependent on their ability to predict collisions with other vehicles' future trajectories for…

Robotics · Computer Science 2020-02-07 Andrew Patterson , Aditya Gahlawat , Naira Hovakimyan

Accurately forecasting traffic flows is critically important to many real applications including public safety and intelligent transportation systems. The challenges of this problem include both the dynamic mobility patterns of the people…

Machine Learning · Computer Science 2024-04-24 Hao Miao , Senzhang Wang , Meiyue Zhang , Diansheng Guo , Funing Sun , Fan Yang

This article considers execution and analysis of laboratory experiments of pedestrians moving in a quasi-one-dimensional system with periodic boundary conditions. To analyze characteristics of jams in the system we aim to use the whole…

Physics and Society · Physics 2016-02-10 Verena Ziemer , Armin Seyfried , Andreas Schadschneider

Equation-free methods make possible an analysis of the evolution of a few coarse-grained or macroscopic quantities for a detailed and realistic model with a large number of fine-grained or microscopic variables, even though no equations are…

Dynamical Systems · Mathematics 2014-02-04 Christian Marschler , Jan Sieber , Poul G. Hjorth , Jens Starke

In the realm of intelligent transportation systems, accurate and reliable traffic monitoring is crucial. Traditional devices, such as cameras and lidars, face limitations in adverse weather conditions and complex traffic scenarios,…

Signal Processing · Electrical Eng. & Systems 2025-04-17 Linlin Wang , Shixin Wang , Peng Wang , Wei Wang , Dezhao Wang , Yongcai Wang , Shanwen Wang
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