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User equilibrium is a central concept for studying transportation networks, and one can view it as the result of a dynamical process of drivers' route choice behavior. In this paper, based on a definition of O-D First-In-First-Out…

Dynamical Systems · Mathematics 2007-11-20 Wen-Long Jin

Traffic congestion is one of the most notable problems arising in worldwide urban areas, importantly compromising human mobility and air quality. Current technologies to sense real-time data about cities, and its open distribution for…

Physics and Society · Physics 2016-12-30 Albert Solé-Ribalta , Sergio Gómez , Alex Arenas

In the Biham-Middleton-Levine traffic model cars are placed with some density p on a two dimensional torus, and move according to a (simple) set of predefined rules. Computer simulations show this system exhibits many interesting phenomena:…

Probability · Mathematics 2007-09-11 Itai Benjamini , Ori Gurel-Gurevich , Roey Izkovsky

Traffic flow prediction is a typical spatio-temporal prediction problem and has a wide range of applications. The core challenge lies in modeling the underlying complex spatio-temporal dependencies. Various methods have been proposed, and…

Machine Learning · Computer Science 2026-01-16 Yiqing Zou , Hanning Yuan , Qianyu Yang , Ziqiang Yuan , Shuliang Wang , Sijie Ruan

Digital technology is fundamentally transforming human mobility. Route choices in particular are greatly affected by the availability of traffic data, increased connectivity of data sources and cheap access to computational resources.…

Physics and Society · Physics 2021-06-01 David-Maximilian Storch , Malte Schröder , Marc Timme

Traffic safety at intersections is studied quantitatively using methods from Statistical Mechanics on the basis of simple microscopic traffic flow models. In order to determine a relationship between traffic flow and the number of crashes,…

Statistical Mechanics · Physics 2023-11-17 Andreas Leich , Ronald Nippold , Andreas Schadschneider , Peter Wagner

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

Highway vehicular traffic is an inherently multi-agent problem. Traffic jams can appear and disappear mysteriously. We develop a method for traffic flow control that is applied at the vehicular level via mean-field games. We begin this work…

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

Solving the road congestion problem is one of the most pressing issues in moderncities since it causes time wasting, pollution, higher industrial costs and huge roadmaintenance costs. Advances in ITS technologies and the advent of…

Computer Science and Game Theory · Computer Science 2021-05-13 Valentina Morandi

This paper considers an unsignalized intersection used by two traffic streams. A stream of cars is using a primary road, and has priority over the other, low-priority, stream. Cars belonging to the latter stream cross the primary road if…

Optimization and Control · Mathematics 2018-02-21 Abhishek , Marko Boon , Michel Mandjes , Rudesindo Núñez-Queija

Urban road transport is a major civilisational and economic challenge, affecting the quality of life and economic activity. Addressing these challenges requires a multidisciplinary approach and sustainable urban planning strategies to…

Analysis of PDEs · Mathematics 2026-05-20 Mauritz N. Cartier van Dissel , Paweł Gora , Dragoş Manea

Traffic congestion has large economic and social costs. The introduction of autonomous vehicles can potentially reduce this congestion, both by increasing network throughput and by enabling a social planner to incentivize users of…

Optimization and Control · Mathematics 2018-10-30 Erdem Bıyık , Daniel Lazar , Ramtin Pedarsani , Dorsa Sadigh

We study the problem of routing Connected and Automated Vehicles (CAVs) in the presence of mixed traffic (coexistence of regular vehicles and CAVs). In this setting, we assume that all CAVs belong to the same fleet, and can be routed using…

Optimization and Control · Mathematics 2019-05-16 Arian Houshmand , Salomón Wollenstein-Betech , Christos G. Cassandras

This article deals with the observation problem in traffic flow theory. The model used is the semilinear viscous Burgers equation. Instead of using the traditional fixed sensors to estimate the state of the traffic at given points, the…

Optimization and Control · Mathematics 2020-07-21 Matthieu Barreau , Anton Selivanov , Karl Henrik Johansson

We study the analysis of all the movements of the population on the basis of their mobility from one node to another, to observe, measure, and predict the impact of traffic according to this mobility. The frequency of congestion on roads…

Physics and Society · Physics 2024-11-14 Henock M. Mboko , Mouhamadou A. M. T. Balde , Babacar M. Ndiaye

Traffic congestion continues to escalate with urbanization and socioeconomic development, necessitating advanced modeling to understand and mitigate its impacts. In large-scale networks, traffic congestion can be studied using cascade…

Physics and Society · Physics 2025-02-20 Agnieszka Janicka , Fiona Sloothaak , Maria Vlasiou , Bert Zwart

Traffic flow oscillations, including traffic waves, are a common yet incompletely understood feature of congested traffic. Possible mechanisms include traffic flow instabilities, indifference regions or finite human perception thresholds…

Physics and Society · Physics 2017-08-24 Martin Treiber , Arne Kesting

Backpressure (BP) control was originally used for packet routing in communications networks. Since its first application to network traffic control, it has undergone different modifications to tailor it to traffic problems with promising…

Systems and Control · Electrical Eng. & Systems 2021-01-14 Li Li , Victor Okoth , Saif Eddin Jabari

Traffic navigation services have gained widespread adoption in recent years. The route recommendations generated by these services often leads to severe congestion on urban streets, raising concerns from neighboring residents and city…

Systems and Control · Electrical Eng. & Systems 2019-08-21 Manxi Wu , Saurabh Amin

We present a novel framework for modeling traffic congestion events over road networks. Using multi-modal data by combining count data from traffic sensors with police reports that report traffic incidents, we aim to capture two types of…

Machine Learning · Computer Science 2021-06-02 Shixiang Zhu , Ruyi Ding , Minghe Zhang , Pascal Van Hentenryck , Yao Xie