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High-density, unsignalized intersection has always been a bottleneck of efficiency and safety. The emergence of Connected Autonomous Vehicles (CAVs) results in a mixed traffic condition, further increasing the complexity of the…

Multiagent Systems · Computer Science 2023-05-08 Shiyu Fang , Peng Hang , Chongfeng Wei , Yang Xing , Jian Sun

We study the derivation of macroscopic traffic models out of optimal speed and follow-the-leader particle dynamics as hydrodynamic limits of non-local Povzner-type kinetic equations. As a first step, we show that optimal speed vehicle…

Statistical Mechanics · Physics 2023-03-13 Felisia Angela Chiarello , Andrea Tosin

Most traffic flow control algorithms address switching cycle adaptation of traffic signals and lights. This work addresses traffic flow optimisation by self-organising micro-level control combining Reinforcement Learning and rule-based…

Artificial Intelligence · Computer Science 2022-02-25 Stefan Bosse

Many headway-based car-following models describe longitudinal adaptation through linear relaxation laws, which can produce unrealistically large accelerations and limit the physical consistency of microscopic traffic dynamics. Motivated by…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Nizhum Rahman , Trachette L. Jackson

This paper introduces a self-organizing traffic signal system for an urban road network. The key elements of this system are agents that control traffic signals at intersections. Each agent uses an interval microscopic traffic model to…

Artificial Intelligence · Computer Science 2014-06-05 Bartlomiej Placzek

One of the potential capabilities of Connected and Autonomous Vehicles (CAVs) is that they can have different route choice behavior and driving behavior compared to human Driven Vehicles (HDVs). This will lead to mixed traffic flow with…

Systems and Control · Electrical Eng. & Systems 2023-01-27 Behzad Bamdad Mehrabani , Jakob Erdmann , Luca Sgambi , Seyedehsan Seyedabrishami , Maaike Snelder

We study a nonlocal particle model describing traffic flow on rough roads. In the model, each driver adjusts the speed of the car according to the condition over an interval in the front, leading to a system of nonlocal ODEs which we refer…

Analysis of PDEs · Mathematics 2019-11-12 Jereme Chien , Wen Shen

Modeling and evaluation of automated vehicles (AVs) in mixed-autonomy traffic is essential prior to their safe and efficient deployment. This is especially important at urban junctions where complex multi-agent interactions occur. Current…

Optimization and Control · Mathematics 2025-07-30 Saeed Rahmani , Simeon C. Calvert , Bart van Arem

In our urbanised societies, the management and regulation of traffic and pedestrian flows is of considerable interest for public safety, economic development, and the conservation of the environment. However, modelling and controlling the…

Physics and Society · Physics 2025-11-17 Antoine Tordeux , Cécile Appert-Rolland , Alexandre Nicolas , Armin Seyfried , Denis Ullmo

In this paper, we study mixed traffic systems that move along a single-lane ring-road or open-road. The traffic flow forms a platoon, which includes a number of heterogeneous human-driven vehicles (HDVs) together with only one connected and…

Optimization and Control · Mathematics 2021-07-29 Shima Sadat Mousavi , Somayeh Bahrami , Anastasios Kouvelas

Reaction delays play an important role in determining the qualitative dynamical properties of a platoon of vehicles traversing a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Classical…

Systems and Control · Computer Science 2019-01-28 Gopal Krishna Kamath , Krishna Jagannathan , Gaurav Raina

The causal connection between congestions and velocity changes at different locations induces various statistical features, which we identify and measure in detail. We carry out an empirical analysis of large-scale traffic data on a local…

Physics and Society · Physics 2024-10-10 Shanshan Wang , Michael Schreckenberg , Thomas Guhr

In this note, we introduce some models of pedestrian traffic and prove existence and uniqueness for these models.

Analysis of PDEs · Mathematics 2011-12-01 Magali Lécureux-Mercier

We consider an intersection zone where autonomous vehicles (AVs) and human-driven vehicles (HDVs) can be present. As a new vehicle arrives, the traffic controller needs to decide and impose an optimal sequence of the vehicles that will exit…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Arnob Ghosh , Thomas Parisini

The rapid adoption of autonomous vehicle has established mixed traffic environments, comprising both autonomous and human-driven vehicles (HDVs), as essential components of next-generation mobility systems. Along these lines, connectivity…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Filippos Tzortzoglou , Logan E. Beaver

We prove the well-posedness of a system of balance laws inspired by [8], describing macro-scopically the traffic flow on a multi-lane road network. Motivated by real applications, we allow for the the presence of space discontinuities both…

Analysis of PDEs · Mathematics 2019-04-10 Paola Goatin , Elena Rossi

Vehicle bypassing is known to negatively affect delays at traffic diverges. However, due to the complexities of this phenomenon, accurate and yet simple models of such lane change maneuvers are hard to develop. In this work, we present a…

Computer Science and Game Theory · Computer Science 2018-09-11 Negar Mehr , Ruolin Li , Roberto Horowitz

Solving traffic assignment problem for large networks is computationally challenging when conventional optimization-based methods are used. In our research, we develop an innovative surrogate model for a traffic assignment when multi-class…

Machine Learning · Computer Science 2025-01-17 Tong Liu , Hadi Meidani

Addressing safe and efficient interaction between connected and automated vehicles (CAVs) and human-driven vehicles in a mixed-traffic environment has attracted considerable attention. In this paper, we develop a framework for stochastic…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Viet-Anh Le , Behdad Chalaki , Filippos N. Tzortzoglou , Andreas A. Malikopoulos

In this paper we propose two models describing the dynamics of heavy and light vehicles on a road network, taking into account the interactions between the two classes. The models are tailored for two-lane highways where heavy vehicles…

Dynamical Systems · Mathematics 2021-05-25 Maya Briani , Emiliano Cristiani , Paolo Ranut