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Efficient and exact algorithms are important for performing fast and accurate traffic network simulations with macroscopic traffic models. In this paper, we extend the semi-analytical Lax-Hopf algorithm in order to compute link inflows and…

Analysis of PDEs · Mathematics 2018-08-29 Michele Simoni , Christian Claudel

This work investigates traffic control via controlled connected and automated vehicles (CAVs) using novel controllers derived from the linear-quadratic regulator (LQR) theory. CAV-platoons are modeled as moving bottlenecks impacting the…

Systems and Control · Electrical Eng. & Systems 2023-07-04 Suyash C. Vishnoi , Junyi Ji , MirSaleh Bahavarnia , Yuhang Zhang , Ahmad F. Taha , Christian G. Claudel , Daniel B. Work

Monitoring and control of traffic networks represent alternative, inexpensive strategies to minimize traffic congestion. As the number of traffic sensors is naturally constrained by budgetary requirements, real-time estimation of traffic…

Systems and Control · Computer Science 2019-11-12 Sebastian A. Nugroho , Ahmad F. Taha , Christian Claudel

Traffic control is at the core of research in transportation engineering because it is one of the best practices for reducing traffic congestion. It has been shown in recent years that the traffic control problem involving…

Optimization and Control · Mathematics 2021-05-10 Hao Liu , Christian Claudel , Randy Machemehl

In this paper we propose two numerical algorithms to solve a coupled PDE-ODE system which models a slow vehicle (bottleneck) moving on a road together with other cars. The resulting system is fully coupled because the dynamics of the slow…

Dynamical Systems · Mathematics 2021-03-22 Gabriella Bretti , Emiliano Cristiani , Corrado Lattanzio , Amelio Maurizi , Benedetto Piccoli

We consider an analytical signal control problem on a signalized network whose traffic flow dynamic is described by the Lighthill-Whitham-Richards (LWR) model (Lighthill and Whitham, 1955; Richards, 1956). This problem explicitly addresses…

Optimization and Control · Mathematics 2016-03-25 Ke Han , Hongcheng Liu , Vikash Gayah , Terry L. Friesz , Tao Yao

In this study, we formulate the VSL control problem for the traffic system in a zone upstream to a lane-drop bottleneck based on two traffic flow models: the Lighthill-Whitham-Richards (LWR) model, which is an infinite-dimensional partial…

Optimization and Control · Mathematics 2013-10-11 Hui-Yu Jin , Wen-Long Jin

Nowadays, traffic management has become a challenge for urban areas, which are covering larger geographic spaces and facing the generation of different kinds of traffic data. This article presents a robust traffic estimation framework for…

Optimization and Control · Mathematics 2016-06-13 Edward S. Canepa , Christian G. Claudel

While macroscopic models for single or multi-lane traffic flow are well established, these models are not applicable to the dynamics and characteristics of disordered traffic which is characterized by widely different types of vehicles and…

Physics and Society · Physics 2023-10-27 Shrey Agrawal , Venkatesan Kanagaraj , Martin Treiber

The ability to predict traffic flow over time for crowded areas during rush hours is increasingly important as it can help authorities make informed decisions for congestion mitigation or scheduling of infrastructure development in an area.…

Machine Learning · Computer Science 2023-04-03 Zann Koh , Yan Qin , Yong Liang Guan , Chau Yuen

This work considers the problem of optimal lane changing in a structured multi-agent road environment. A novel motion planning algorithm that can capture long-horizon dependencies as well as short-horizon dynamics is presented. Pivotal to…

Robotics · Computer Science 2024-05-07 Rudolf Reiter , Armin Nurkanovic , Daniele Bernadini , Moritz Diehl , Alberto Bemporad

This paper is concerned with highway traffic estimation using traffic sensing data, in a Lagrangian-based modeling framework. We consider the Lighthill-Whitham-Richards (LWR) model (Lighthill and Whitham, 1955; Richards, 1956) in…

Analysis of PDEs · Mathematics 2012-11-21 Ke Han , Tao Yao , Terry L. Friesz

This paper is concerned with adaptive signal control problems on a road network, using a link-based kinematic wave model (Han et al., 2012). Such a model employs the Lighthill-Whitham-Richards model with a triangular fundamental diagram. A…

Optimization and Control · Mathematics 2012-11-21 Ke Han , Terry L. Friesz , Tao Yao

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

A simple algorithm for constructing an effective traffic model is presented. The algorithm uses statistically well-defined quantities extracted from the flow-density plot, and the resulting effective model naturally captures and predicts…

Adaptation and Self-Organizing Systems · Physics 2014-12-16 Bo Yang , Christopher Monterola

This paper develops boundary control for freeway traffic with a downstream bottleneck. Traffic on a freeway segment with capacity drop at outlet of the segment is a common phenomenon leading to traffic bottleneck problem. The capacity drop…

Optimization and Control · Mathematics 2019-04-10 Huan Yu , Shumon Koga , Tiago Roux Oliveira , Miroslav Krstic

The combination of boundary flow control and variable speed limit (VSL) is a widely used strategy for highway corridors to maintain safety and throughput when the capacity downstream is dropped. However, most proposed models assume fixed…

Optimization and Control · Mathematics 2021-10-28 Hao Liu , Suyash Vishnoi , Christian Claudel

Nowadays, traffic monitoring systems have access to real time data, e.g. through GPS devices. We propose a new traffic model able to take into account these data and, hence, able to describe the effects of unpredictable accidents. The well…

Analysis of PDEs · Mathematics 2014-11-11 Rinaldo M. Colombo , Francesca Marcellini

This paper deals with traffic control at motorway bottlenecks assuming the existence of an unknown, time-varying, Fundamental Diagram (FD). The FD may change over time due to different traffic compositions, e.g., light and heavy vehicles,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Farzam Tajdari , Claudio Roncoli

This article proposes a numerical scheme for computing the evolution of vehicular traffic on a road network over a finite time horizon. The traffic dynamics on each link is modeled by the Hamilton-Jacobi (HJ) partial differential equation…

Physics and Society · Physics 2017-02-14 Yanning Li , Christian G. Claudel , Benedetto Piccoli , Daniel B. Work
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