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Predicting the motion of a driver's vehicle is crucial for advanced driving systems, enabling detection of potential risks towards shared control between the driver and automation systems. In this paper, we propose a variational neural…

Robotics · Computer Science 2019-03-07 Xin Huang , Stephen McGill , Brian C. Williams , Luke Fletcher , Guy Rosman

In this paper we consider the application of Stackelberg game theory to model discretionary lane-changing in lightly congested highway setting. The fundamental intent of this model, which is parameterized to capture driver disposition…

Computer Science and Game Theory · Computer Science 2020-03-24 Jehong Yoo , Reza Langari

A robust estimation of road course and traffic lanes is an essential part of environment perception for next generations of Advanced Driver Assistance Systems and development of self-driving vehicles. In this paper, a flexible method for…

Robotics · Computer Science 2017-06-07 Alexey Abramov , Christopher Bayer , Claudio Heller , Claudia Loy

This paper presents a new mathematical model of vehicular traffic, based on the methods of the generalized kinetic theory, in which the space of microscopic states (position and velocity) of the vehicles is genuinely discrete. While in the…

Mathematical Physics · Physics 2013-11-12 Luisa Fermo , Andrea Tosin

Trajectory planning is essential for ensuring safe driving in the face of uncertainties related to communication, sensing, and dynamic factors such as weather, road conditions, policies, and other road users. Existing car-following models…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Wen-Long Jin

Car-following (CF) algorithms are crucial components of traffic simulations and have been integrated into many production vehicles equipped with Advanced Driving Assistance Systems (ADAS). Insights from the model of car-following behavior…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Tianya Zhang , Ph. D. , Peter J. Jin , Ph. D. , Sean T. McQuade , Ph. D. , Alexandre Bayen , Ph. D. , Benedetto Piccoli

Motion prediction for intelligent vehicles typically focuses on estimating the most probable future evolutions of a traffic scenario. Estimating the gap acceptance, i.e., whether a vehicle merges or crosses before another vehicle with the…

Robotics · Computer Science 2024-09-18 Max Bastian Mertens , Jona Ruof , Jan Strohbeck , Michael Buchholz

We present a method to derive macroscopic fluid-dynamic models from microscopic car-following models via a coarse-graining procedure. The method is first demonstrated for the optimal velocity model. The derived macroscopic model consists of…

Statistical Mechanics · Physics 2009-11-07 H. K. Lee , H. -W. Lee , D. Kim

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm

This paper presents a novel approach to coordinated vehicle platooning, where the platoon followers communicate solely with the platoon leader. A dynamic model is proposed to account for driving safety under communication delays. General…

Systems and Control · Electrical Eng. & Systems 2024-12-09 Shouwei Hui , Michael Zhang

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 deals with the modeling and mathematical analysis of vehicular traffic phenomena according to a kinetic theory approach, where the microscopic state of vehicles is described by: (i) position, (ii) velocity, as a continuous…

Analysis of PDEs · Mathematics 2021-03-26 J. Calvo , J. Nieto , M. Zagour

By observing their environment as well as other traffic participants, humans are enabled to drive road vehicles safely. Vehicle passengers, however, perceive a notable difference between non-experienced and experienced drivers. In…

Machine Learning · Computer Science 2020-06-11 Florian Wirthmüller , Julian Schlechtriemen , Jochen Hipp , Manfred Reichert

Vehicle trajectory prediction is crucial for advancing autonomous driving and advanced driver assistance systems (ADAS). Although deep learning-based approaches - especially those utilizing transformer-based and generative models - have…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Junwei You , Rui Gan , Weizhe Tang , Zilin Huang , Jiaxi Liu , Zhuoyu Jiang , Haotian Shi , Keshu Wu , Keke Long , Sicheng Fu , Sikai Chen , Bin Ran

Lane changing and lane merging remains a challenging task for autonomous driving, due to the strong interaction between the controlled vehicle and the uncertain behavior of the surrounding traffic participants. The interaction induces a…

Optimization and Control · Mathematics 2022-12-01 Renzi Wang , Mathijs Schuurmans , Panagiotis Patrinos

To safely and efficiently navigate through complex traffic scenarios, autonomous vehicles need to have the ability to predict the future motion of surrounding vehicles. Multiple interacting agents, the multi-modal nature of driver behavior,…

Computer Vision and Pattern Recognition · Computer Science 2018-10-31 Nachiket Deo , Mohan M. Trivedi

With the development of autonomous driving technology, there are increasing demands for vehicle control, and MPC has become a widely researched topic in both industry and academia. Existing MPC control methods based on vehicle kinematics or…

Systems and Control · Electrical Eng. & Systems 2024-07-19 Jiarui Zhang , Aijing Kong , Yu Tang , Zhichao Lv , Lulu Guo , Peng Hang

A conceptual and computational framework is proposed for modelling of human sensorimotor control, and is exemplified for the sensorimotor task of steering a car. The framework emphasises control intermittency, and extends on existing models…

Neurons and Cognition · Quantitative Biology 2018-10-31 Gustav Markkula , Erwin Boer , Richard Romano , Natasha Merat

Predicting the future trajectory of a surrounding vehicle in congested traffic is one of the basic abilities of an autonomous vehicle. In congestion, a vehicle's future movement is the result of its interaction with surrounding vehicles. A…

Robotics · Computer Science 2020-05-29 Xiaoyu Mo , Yang Xing , Chen Lv

Improper lane-changing behaviors may result in breakdown of traffic flow and the occurrence of various types of collisions. This study investigates lane-changing behaviors of multiple vehicles and the stimulative effect on following drivers…

Machine Learning · Computer Science 2022-06-07 Ruifeng Gu