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While for coupled hyperbolic PDEs of first order there now exist numerous PDE backstepping designs, systems with zero speed, i.e., without convection but involving infinite-dimensional ODEs, which arise in many applications, from…

Optimization and Control · Mathematics 2022-11-28 Gustavo A. de Andrade , Rafael Vazquez , Iasson Karafyllis , Miroslav Krstic

Traffic congestion has become a nightmare to modern life in metropolitan cities. On average, a driver spending X hours a year stuck in traffic is one of most common sentences we often read regarding traffic congestion. Our aim in this…

Optimization and Control · Mathematics 2021-11-18 Harshvardhan Uppaluru , Hamid Emadi , Hossein Rastgoftar

With the proliferation of ride-hailing services, curb space in urban areas has become highly congested due to the massive passenger pick-ups and drop-offs. Particularly during peak hours, the massive ride-hailing vehicles waiting to drop…

Optimization and Control · Mathematics 2025-06-17 Yao Deng , Zhi-Chun Li , Sean Qian , Wei Ma

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

The paper provides conditions that guarantee existence and uniqueness of classical solutions for a non-local conservation law on a ring-road with possible nudging (or "look behind") terms. The obtained conditions are novel, as they are not…

Optimization and Control · Mathematics 2020-03-06 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

Classical second order models of pedestrian dynamics, like the social-force model, suffer from various unrealistic behaviors in the dynamics, e.g. backward motion, oscillations and overlapping of pedestrians. These effects are not related…

Physics and Society · Physics 2019-11-19 Jakob Cordes , Andreas Schadschneider , Antoine Tordeux

The rapid development of autonomous vehicles (AVs) holds vast potential for transportation systems through improved safety, efficiency, and access to mobility. However, the progression of these impacts, as AVs are adopted, is not well…

Artificial Intelligence · Computer Science 2022-01-03 Cathy Wu , Aboudy Kreidieh , Kanaad Parvate , Eugene Vinitsky , Alexandre M Bayen

We study completely asymmetric 2-channel exclusion processes in 1 dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars…

Statistical Mechanics · Physics 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

Reinforcement learning (RL) has attracted increasing interest for adaptive traffic signal control due to its model-free ability to learn control policies directly from interaction with the traffic environment. However, several challenges…

Machine Learning · Computer Science 2026-03-17 Dickens Kwesiga , Angshuman Guin , Khaled Abdelghany , Michael Hunter

We investigate characteristic properties of the congested traffic states on a 30 km long stretch of the German freeway A5 north of Frankfurt/Main. Among the approximately 245 breakdowns of traffic flow in 165 days, we have identified five…

Statistical Mechanics · Physics 2007-05-23 Martin Schoenhof , Dirk Helbing

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

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

Traffic congestion remains a significant challenge in modern urban networks. Autonomous driving technologies have emerged as a potential solution. Among traffic control methods, reinforcement learning has shown superior performance over…

Machine Learning · Computer Science 2025-07-29 Songyang Liu , Muyang Fan , Weizi Li , Jing Du , Shuai Li

The goal of this work is to provide a viable solution based on reinforcement learning for traffic signal control problems. Although the state-of-the-art reinforcement learning approaches have yielded great success in a variety of domains,…

Machine Learning · Computer Science 2020-05-20 Yueh-Hua Wu , I-Hau Yeh , David Hu , Hong-Yuan Mark Liao

Adaptive traffic signal control (ATSC) can effectively reduce vehicle travel times by dynamically adjusting signal timings but poses a critical challenge in real-world scenarios due to the complexity of real-time decision-making in dynamic…

Artificial Intelligence · Computer Science 2025-03-19 Yuxuan Wang , Meng Long , Qiang Wu , Wei Liu , Jiatian Pi , Xinmin Yang

Realizing smooth traffic flow is important for achieving carbon neutrality. Adaptive traffic signal control, which considers traffic conditions, has thus attracted attention. However, it is difficult to ensure optimal vehicle flow…

Optimization and Control · Mathematics 2024-07-15 Daisuke Inoue , Hiroshi Yamashita , Kazuyuki Aihara , Hiroaki Yoshida

The paper provides results for the application of boundary feedback control with Zero-Order-Hold (ZOH) to 1-D linear, first-order, hyperbolic systems with non-local terms on bounded domains. It is shown that the emulation design based on…

Optimization and Control · Mathematics 2017-03-01 Iasson Karafyllis , Miroslav Krstic

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 present a model of traffic flow, with rules that describe the behaviour of automated vehicles in an open system. We show first of all that the fundamental diagram of this system collapses to a point, where states of free and jammed…

Statistical Mechanics · Physics 2009-11-07 M. E. Larraga , J. A. del Rio , Anita Mehta

Chaos control in some of the one- and two-dimensional traffic flow dynamical models in the mean field theory is studied.One dimensional model is investigated taking into account the effect of random delay. Two dimensional model takes into…

chao-dyn · Physics 2019-08-17 Elman Mohammed Shahverdiev , Shin-ichi Tadaki