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We propose a new model for multi-lane traffic with moving bottlenecks, e.g., autonomous vehicles (AV). It consists of a system of balance laws for traffic in each lane, coupled in the source terms for lane changing, and fully coupled to…

Analysis of PDEs · Mathematics 2024-04-29 Paola Goatin , Benedetto Piccoli

Human drivers may behave in an imprecise/unstable manner, leading to traffic oscillations which are harmful to traffic throughput. Recent field experiments have shown that the control of a single autonomous vehicle (AV) can increase traffic…

Systems and Control · Electrical Eng. & Systems 2019-12-04 Ronan L. Keane , H. Oliver Gao

The purpose of this review paper is to present some recent results on the modeling and control of large systems of agents. We focus on particular applications where the agents are capable of independent actions instead of simply reacting to…

Optimization and Control · Mathematics 2023-02-27 Benedetto Piccoli

Autonomous vehicles (AV) is an advanced technology that can bring convenience, improve the road-network throughput, and reduce traffic accidents. To enable higher levels of automation (LoA), massive amounts of sensory data need to be…

Systems and Control · Electrical Eng. & Systems 2019-09-27 Guangyi Liu , Seyedmohammad Salehi , Erdem Bala , Chien-Chung Shen , Leonard J. Cimini

We study a hierarchy of models based on kinetic equations for the descriptions of traffic flow in presence of autonomous and human--driven vehicles. The autonomous cars considered in this paper are thought of as vehicles endowed with some…

Physics and Society · Physics 2021-10-11 M. Herty , G. Puppo , G. Visconti

For a foreseeable future, autonomous vehicles (AVs) will operate in traffic together with human-driven vehicles. Their planning and control systems need extensive testing, including early-stage testing in simulations where the interactions…

Robotics · Computer Science 2020-07-21 Ran Tian , Nan Li , Ilya Kolmanovsky , Yildiray Yildiz , Anouck Girard

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

In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the flow of cars, which would be lost with a purely continuous…

Mathematical Physics · Physics 2014-03-25 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

The emergence of autonomous vehicles is expected to revolutionize road transportation in the near future. Although large-scale numerical simulations and small-scale experiments have shown promising results, a comprehensive theoretical…

Optimization and Control · Mathematics 2020-08-07 Yang Zheng , Jiawei Wang , Keqiang Li

With the advent of autonomous driving technologies, traffic control at intersections is expected to experience revolutionary changes. Various novel intersection control methods have been proposed in the existing literature, and they can be…

Systems and Control · Electrical Eng. & Systems 2020-08-17 Chen Yang , Xi Lin , Meng Li , Fang He

Moving bottlenecks, such as slow-driving vehicles, are commonly thought of as impediments to efficient traffic flow. Here, we demonstrate that in certain situations, moving bottlenecks---properly controlled---can actually be beneficial for…

Physics and Society · Physics 2017-02-28 Rabie A. Ramadan , Benjamin Seibold

This paper deals with the Cauchy Problem for a PDE-ODE model, where a system of two conservation laws, namely the Two-Phase macroscopic model, is coupled with an ordinary differential equation describing the trajectory of an autonomous…

Analysis of PDEs · Mathematics 2023-08-15 Mauro Garavello , Francesca Marcellini

In this paper, a multi-lane multi-population microscopic model, which presents stop and go waves, is proposed to simulate traffic on a ring-road. Vehicles are divided between human-driven and autonomous vehicles (AV). Control strategies are…

This paper presents scalable traffic stability analysis for both pure autonomous vehicle (AV) traffic and mixed traffic based on continuum traffic flow models. Human vehicles are modeled by a non-equilibrium traffic flow model, i.e.,…

Optimization and Control · Mathematics 2024-09-23 Kuang Huang , Xuan Di , Qiang Du , Xi Chen

With the development of autonomous driving, it is becoming increasingly common for autonomous vehicles (AVs) and human-driven vehicles (HVs) to travel on the same roads. Existing single-vehicle planning algorithms on board struggle to…

Robotics · Computer Science 2023-02-15 Licheng Wen , Pinlong Cai , Daocheng Fu , Song Mao , Yikang Li

As autonomous vehicles (AVs) inch closer to reality, a central requirement for acceptance will be earning the trust of humans in everyday driving situations. In particular, the interaction between AVs and pedestrians is of high importance,…

Robotics · Computer Science 2019-02-05 Nitin R. Kapania , Vijay Govindarajan , Francesco Borrelli , J. Christian Gerdes

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

Modular autonomous vehicles (MAVs) represent a groundbreaking concept that integrates modularity into the ongoing development of autonomous vehicles. This innovative design introduces unique features to traffic flow, allowing multiple…

Multiagent Systems · Computer Science 2024-12-25 Lanhang Ye , Toshiyuki Yamamoto

The development of Autonomous Vehicles (AVs) has redefined the way of transportation by eliminating the need for human intervention in driving. This revolution is fueled by rapid advancements in adaptive cruise control (ACC), which make AVs…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Shradha Bavalatti , Yash Kangralkar , Santosh Pattar , Veena P Badiger

We investigate the behaviour of an original traffic model. The model considers a single multi-lane street, populated by autonomous vehicles directed from either end to the other. Lanes have no intrinsic directionality, and the vehicles are…

Computational Physics · Physics 2007-05-23 Federico Polito , Fergal Dalton
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