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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

Congestion emerges when high demand peaks put transportation systems under stress. Understanding the interplay between the spatial organization of demand, the route choices of citizens, and the underlying infrastructures is thus crucial to…

Physics and Society · Physics 2022-11-29 Aleix Bassolas , Sergio Gómez , Alex Arenas

This paper presents a distributed traffic state estimation framework in which infrastructure sensors and connected vehicles act as autonomous, cooperative sensing nodes. These nodes share local traffic estimates with nearby nodes using…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Vincent de Heij , M. Umar B. Niazi , Saeed Ahmed , Karl Henrik Johansson

Hybrid dynamical systems with nonlinear dynamics are one of the most general modeling tools for representing robotic systems, especially contact-rich systems. However, providing guarantees regarding the safety or performance of nonlinear…

Robotics · Computer Science 2025-01-10 Javier Borquez , Shuang Peng , Yiyu Chen , Quan Nguyen , Somil Bansal

The rapid urbanization and increasing traffic have serious social, economic, and environmental impact on metropolitan areas worldwide. It is of a great importance to understand the complex interplay of road networks and traffic conditions.…

Other Computer Science · Computer Science 2018-10-31 Weizi Li , Meilei Jiang , Yaoyu Chen , Ming C. Lin

Recent studies on transportation networks have shown that real-time route guidance can inadvertently induce congestion or oscillatory traffic patterns. Nevertheless, such technologies also offer a promising opportunity to manage traffic…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Shaya Garjani , Ashish Cherukuri , Bayu Jayawardhana , Nima Monshizadeh

We study the emergence of congestion patterns in urban networks by modeling vehicular interaction by means of a simple traffic rule and by using a set of measures inspired by the standard Betweenness Centrality (BC). We consider a…

Physics and Society · Physics 2022-07-25 Marco Cogoni , Giovanni Busonera , Francesco Versaci

We address two shortcomings in online travel time estimation methods for congested urban traffic. The first shortcoming is related to the determination of the number of mixture modes, which can change dynamically, within day and from day to…

Machine Learning · Statistics 2020-01-14 Saif Eddin Jabari , Nikolaos M. Freris , Deepthi Mary Dilip

Hybrid traffic modeling and simulation provide an important way to represent and evaluate large-scale traffic networks at different levels of details. The first level, called "microscopic" allows the description of individual vehicles and…

Multiagent Systems · Computer Science 2015-05-28 Najia Bouha , Gildas Morvan , Hassane Abouaïssa , Yoann Kubera

This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equations. The network is characterized by bounded buffers at…

Numerical Analysis · Mathematics 2020-04-22 Theresa Dambach , Simone Göttlich , Stephan Knapp

Traffic is essential for many dynamic processes on real networks, such as internet and urban traffic systems. The transport efficiency of the traffic system can be improved by taking full advantage of the resources in the system. In this…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 J. -Q. Dong , Z. -G. Huang , Z. Zhou , L. Huang , Z. -X. Wu , Y. Do , Y. -H. Wang

Traffic congestion is a persistent problem in our society. Previous methods for traffic control have proven futile in alleviating current congestion levels leading researchers to explore ideas with robot vehicles given the increased…

Multiagent Systems · Computer Science 2024-02-06 Michael Villarreal , Bibek Poudel , Jia Pan , Weizi Li

Urban transportation systems face increasing resilience challenges from extreme weather events, but current assessment methods rely on surface-level recovery indicators that miss hidden structural damage. Existing approaches cannot…

Machine Learning · Computer Science 2025-12-04 Xuhui Lin , Qiuchen Lu

Given a coercive Hamiltonian which is quasi-convex with respect to the gradient variable and periodic with respect to time and space at least "far away from the origin", we consider the solution of the Cauchy problem of the corresponding…

Analysis of PDEs · Mathematics 2017-01-25 Giulio Galise , Cyril Imbert , Régis Monneau

This paper presents a new approach to congestion management at traffic-light intersections. The approach is based on controlling the relative lengths of red/green cycles in order to have the congestion level track a given reference. It uses…

Optimization and Control · Mathematics 2014-07-29 Yorai Wardi , Carla Seatzu

Autonomous driving is a major paradigm shift in transportation, with the potential to enhance safety, optimize traffic congestion, and reduce fuel consumption. Although autonomous vehicles rely on advanced sensors and on-board computing…

Networking and Internet Architecture · Computer Science 2025-04-22 Marcello Bullo , Amir Ashtari Gargari , Paolo Testolina , Michele Zorzi , Marco Giordani

We present a semi-Lagrangian scheme for the approximation of a class of Hamilton-Jacobi-Bellman equations on networks. The scheme is explicit and stable under some technical conditions. We prove a convergence theorem and some error…

Numerical Analysis · Mathematics 2018-04-26 Elisabetta Carlini , Adriano Festa , Nicolas Forcadel

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

This paper investigates the practical engineering problem of traffic sensors placement on stretched highways with ramps. Since it is virtually impossible to install bulky traffic sensors on each highway segment, it is crucial to find…

Optimization and Control · Mathematics 2022-05-05 Sebastian A. Nugroho , Suyash C. Vishnoi , Ahmad F. Taha , Christian G. Claudel , Taposh Banerjee

Connected vehicles disseminate detailed data, including their position and speed, at a very high frequency. Such data can be used for accurate real-time analysis, prediction and control of transportation systems. The outstanding challenge…

Applications · Statistics 2018-11-02 Negin Alemazkoor , Hadi Meidani