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An extended multi-class Aw-Rascle (AR) model with pressure term described as a function of area occupancy defined in form of proportional densities is presented. Two vehicle classes that is; cars and motorcycles are considered based on an…

Analysis of PDEs · Mathematics 2024-05-16 Nanyondo Josephine , Henry Kasumba

We address the traffic light control problem for a single intersection by viewing it as a stochastic hybrid system and developing a Stochastic Flow Model (SFM) for it. We adopt a quasi-dynamic control policy based on partial state…

Systems and Control · Computer Science 2013-08-06 Yanfeng Geng , Christos G. Cassandras

In this paper, we introduce a new conservation-based approach to model traffic dynamics, and apply the model predictive control (MPC) approach to control the boundary traffic inflow and outflow, so that the traffic congestion is reduced. We…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Xun Liu , Hossein Rastgoftar

This work gives introduction to traffic control by connected automated vehicles. The influence of vehicle control on vehicular traffic and traffic control strategies are discussed and compared. It is highlighted that vehicle-to-everything…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Tamas G. Molnar , Michael Hopka , Devesh Upadhyay , Michiel Van Nieuwstadt , Gabor Orosz

Autonomous vehicles (AVs) hold vast potential to enhance transportation systems by reducing congestion, improving safety, and lowering emissions. AV controls lead to emergent traffic phenomena; one such intriguing phenomenon is traffic…

Systems and Control · Electrical Eng. & Systems 2024-10-14 Sirui Li , Roy Dong , Cathy Wu

Autonomous driving systems present promising methods for congestion mitigation in mixed autonomy traffic control settings. In particular, when coupled with even modest traffic state estimates, such systems can plan and coordinate the…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Zhe Fu , Abdul Rahman Kreidieh , Han Wang , Jonathan W. Lee , Maria Laura Delle Monache , Alexandre M. Bayen

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined on a road network that is a collection of roads with…

Analysis of PDEs · Mathematics 2007-05-23 G. M. Coclite , B. Piccoli

The integration of Automated Vehicles (AVs) into traffic flow holds the potential to significantly improve traffic congestion by enabling AVs to function as actuators within the flow. This paper introduces an adaptive speed controller…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Han Wang , Hossein Nick Zinat Matin , Maria Laura Delle Monache

Modeling heterogeneous and multi-lane traffic flow is essential for understanding and controlling complex transportation systems. In this work, we consider three vehicle populations: two classes of human-driven vehicles (cars and trucks)…

Optimization and Control · Mathematics 2025-10-17 Maria Teresa Chiri , Christopher Denaro , Xiaoqian Gong , Benedetto Piccoli

We study the relation between the average traffic flow and the vehicle density on road networks that we call 2D-traffic fundamental diagram. We show that this diagram presents mainly four phases. We analyze different cases. First, the case…

Optimization and Control · Mathematics 2013-02-06 Nadir Farhi , Maurice Goursat , Jean-Pierre Quadrat

In the context of global urbanization and motorization, traffic congestion has become a significant issue, severely affecting the quality of life, environment, and economy. This paper puts forward a single-agent reinforcement learning…

Machine Learning · Computer Science 2026-01-14 Qiang Li , Jin Niu , Qin Luo , Lina Yu

Inefficiencies in traffic flow through an intersection lead to stopping vehicles, unnecessary congestion, and increased accident risk. In this paper, we propose a traffic signal controller platform demonstrating the ability to increase…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Frederik Baymler Mathiesen , Garey Fleeman

In this paper, a new model for traffic on roads with multiple lanes is developed, where the vehicles do not adhere to a lane discipline. Assuming identical vehicles, the dynamics is split along two independent directions: the Y-axis…

Systems and Control · Computer Science 2023-03-02 Rakesh U. Chavan , Debraj Chakraborty , D. Manjunath

In this paper, we study the feasibility of a class of optimization-based boundary control of one-dimensional macroscopic traffic flow models, where stability and invariance are achieved by a single boundary control. We define the sets of…

Optimization and Control · Mathematics 2026-05-04 Eryn Vaid , Maria Teresa Chiri , Roberto Guglielmi , Gennaro Notomista

To investigate the impact of Autonomous Vehicles (AVs) on urban congestion, this study looks at their performance at road intersections. Intersection performance has been studied across a range of traffic densities using a simple MATLAB…

Physics and Society · Physics 2021-04-12 Karam Safarov , Thomas Kent , Eddie Wilson , Arthur Richards

In [7], Berthelin, Degond, Delitala and Rascle introduced a traffic flow model describing the formation and the dynamics of traffic jams. This model consists of a Pressureless Gas Dynamics system under a maximal constraint on the density…

Analysis of PDEs · Mathematics 2012-08-08 Florent Berthelin , Damien Broizat

This paper describes a traffic signal control strategy that allows motorists who travel at a recommended speed on suburban arterial two-way roads with a common cycle time to make every traffic signal. A road-to-traveler-feedback-device…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Melvin H. Friedman , Brian L. Mark , Nathan H. Gartner

For stabilizing stop-and-go oscillations in traffic flow by actuating a variable speed limit (VSL) at a downstream boundary of a freeway segment, we introduce event-triggered PDE backstepping designs employing the recent concept of…

Systems and Control · Electrical Eng. & Systems 2025-03-10 Peihan Zhang , Bhathiya Rathnayake , Mamadou Diagne , Miroslav Krstic

Traffic congestion, primarily driven by intersection queuing, significantly impacts urban living standards, safety, environmental quality, and economic efficiency. While Traffic Signal Control (TSC) systems hold potential for congestion…

Machine Learning · Computer Science 2026-01-14 Qiang Li , Jin Niu , Lina Yu

In this note, we propose a case study of freeway traffic flow modeled as a hybrid system. We describe two general classes of networks that model flow along a freeway with merging onramps. The admission rate of traffic flow from each onramp…

Systems and Control · Computer Science 2018-03-02 Samuel Coogan , Murat Arcak