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The proliferation of connected automated vehicles represents an unprecedented opportunity for improving driving efficiency and alleviating traffic congestion. However, existing research fails to address realistic multi-lane highway…

Multiagent Systems · Computer Science 2025-02-05 Yaron Veksler , Sharon Hornstein , Han Wang , Maria Laura Delle Monache , Daniel Urieli

We propose a framework for constructing microscopic traffic models from microscopic acceleration patterns that can in principle be experimental measured and proper averaged. The exact model thus obtained can be used to justify the…

Adaptation and Self-Organizing Systems · Physics 2015-04-07 Bo Yang , Xihua Xu , John Z. F. Pang , Christopher Monterola

In this paper, a novel closed-loop control framework for autonomous obstacle avoidance on a curve road is presented. The proposed framework provides two main functionalities; (i) collision free trajectory planning using MPC and (ii) a…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Shayan Taherian , Shilp Dixit , Umberto Montanaro , Saber Fallah

We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of congestion. These models are obtained through asymptotic…

Numerical Analysis · Mathematics 2016-12-13 Florent Berthelin , Thierry Goudon , Bastien Polizzi , Magali Ribot

Curb space is one of the busiest areas in urban road networks. Especially in recent years, the rapid increase of ride-hailing trips and commercial deliveries has induced massive pick-ups/drop-offs (PUDOs), which occupy the limited curb…

Machine Learning · Computer Science 2024-01-03 Xiaohui Liu , Sean Qian , Hock-Hai Teo , Wei Ma

The application of learning based methods to vehicle routing problems has emerged as a pivotal area of research in combinatorial optimization. These problems are characterized by vast solution spaces and intricate constraints, making…

Machine Learning · Computer Science 2025-03-14 Zhenwei Wang , Ruibin Bai , Tiehua Zhang

Physics-informed deep learning (PIDL) neural networks have shown their capability as a useful instrument for transportation practitioners in utilizing the underlying relationship between the state variables for traffic state estimation…

Machine Learning · Computer Science 2026-05-13 Archie J. Huang , Dongdong Wang , Shaurya Agarwal , Mohamed Abdel-Aty , Md Mahmudul Islam , Muhammad Shahbaz

This paper develops a full-state feedback controller that damps out oscillations in traffic density and traffic velocity whose dynamical behavior is governed by the linearized two-class Aw-Rascle (AR) model. Thereby, the traffic is…

Optimization and Control · Mathematics 2020-01-07 Mark Burkhardt , Huan Yu , Miroslav Krstic

We propose a semi-discrete numerical scheme and establish well-posedness of a class of parabolic systems. Such systems naturally arise while studying the optimal control of grain boundary motions. The latter is typically described using a…

Analysis of PDEs · Mathematics 2018-10-26 Harbir Antil , Ken Shirakawa , Noriaki Yamazaki

Deep reinforcement learning (DRL) has seen several successful applications to process control. Common methods rely on a deep neural network structure to model the controller or process. With increasingly complicated control structures, the…

Collision-free motion is essential for mobile robots. Most approaches to collision-free and efficient navigation with wheeled robots require parameter tuning by experts to obtain good navigation behavior. This study investigates the…

Robotics · Computer Science 2024-08-08 Hamid Taheri , Seyed Rasoul Hosseini , Mohammad Ali Nekoui

This paper presents a mixed traffic control policy designed to optimize traffic efficiency across diverse road topologies, addressing issues of congestion prevalent in urban environments. A model-free reinforcement learning (RL) approach is…

Robotics · Computer Science 2025-01-29 Chuyang Xiao , Dawei Wang , Xinzheng Tang , Jia Pan , Yuexin Ma

Neural operator surrogates for time-dependent partial differential equations (PDEs) conventionally employ autoregressive prediction schemes, which accumulate error over long rollouts and require uniform temporal discretization. We introduce…

Machine Learning · Computer Science 2025-12-08 Xianglong Hou , Xinquan Huang , Paris Perdikaris

Neural operator models for solving partial differential equations (PDEs) often rely on global mixing mechanisms-such as spectral convolutions or attention-which tend to oversmooth sharp local dynamics and introduce high computational cost.…

Machine Learning · Computer Science 2025-10-01 Chun-Wun Cheng , Bin Dong , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Reinforcement learning (RL) constitutes a promising solution for alleviating the problem of traffic congestion. In particular, deep RL algorithms have been shown to produce adaptive traffic signal controllers that outperform conventional…

Machine Learning · Statistics 2019-07-23 Filipe Rodrigues , Carlos Lima Azevedo

Accurately quantifying long-term risk probabilities in diverse stochastic systems is essential for safety-critical control. However, existing sampling-based and partial differential equation (PDE)-based methods often struggle to handle…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Zhuoyuan Wang , Raffaele Romagnoli , Kamyar Azizzadenesheli , Yorie Nakahira

This paper presents a novel model-reference reinforcement learning algorithm for the intelligent tracking control of uncertain autonomous surface vehicles with collision avoidance. The proposed control algorithm combines a conventional…

Systems and Control · Electrical Eng. & Systems 2020-08-18 Qingrui Zhang , Wei Pan , Vasso Reppa

Throughout many fields, practitioners often rely on differential equations to model systems. Yet, for many applications, the theoretical derivation of such equations and/or accurate resolution of their solutions may be intractable. Instead,…

Machine Learning · Computer Science 2025-01-16 Grant Norman , Jacqueline Wentz , Hemanth Kolla , Kurt Maute , Alireza Doostan

This paper investigates the mean square exponential stabilization problem for a class of coupled PDE-ODE systems with Markov jump parameters. The considered system consists of multiple coupled hyperbolic PDEs and a finite-dimensional ODE,…

Optimization and Control · Mathematics 2025-08-06 Kaijing Lyu , Umberto Biccari , Junmin Wang

This paper introduces a novel approach that seeks a middle ground for traffic control in multi-lane congestion, where prevailing traffic speeds are too fast, and speed recommendations designed to dampen traffic waves are too slow. Advanced…