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We deal with the problem of deriving the microscopic equations governing the individual car motion based on the assumptions about the strategy of driver behavior. We suppose the driver behavior to be a result of a certain compromise between…

Soft Condensed Matter · Physics 2009-11-07 Ihor Lubashevsky , Sergey Kalenkov , Reinhard Mahnke

Car-following behavior is fundamental to traffic flow theory, yet traditional models often fail to capture the stochasticity of naturalistic driving. This paper introduces a new car-following modeling category called the empirical…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Sungyong Chung , Yanlin Zhang , Nachuan Li , Dana Monzer , Alireza Talebpour

Training self-driving systems to be robust to the long-tail of driving scenarios is a critical problem. Model-based approaches leverage simulation to emulate a wide range of scenarios without putting users at risk in the real world. One…

Robotics · Computer Science 2022-04-18 Vlad Sobal , Alfredo Canziani , Nicolas Carion , Kyunghyun Cho , Yann LeCun

With the emergence of autonomous vehicles, it is important to understand their impact on the transportation system. However, conventional traffic simulations are time-consuming. In this paper, we introduce an analytical traffic model for…

Multiagent Systems · Computer Science 2018-09-10 Changliu Liu , Mykel J. Kochenderfer

A new vehicular traffic flow model based on a stochastic jump process in vehicle acceleration and braking is introduced. It is based on a master equation for the single car probability density in space, velocity and acceleration with an…

Other Condensed Matter · Physics 2009-11-10 K. Thomas Waldeer

The ability to predict the future movements of other vehicles is a subconscious and effortless skill for humans and key to safe autonomous driving. Therefore, trajectory prediction for autonomous cars has gained a lot of attention in recent…

Robotics · Computer Science 2021-09-16 Benedikt Mersch , Thomas Höllen , Kun Zhao , Cyrill Stachniss , Ribana Roscher

Car-Following is a broadly studied state of driving, and many modeling approaches through various heuristics and engineering methods have been proposed. Congestion is a common traffic phenomenon also widely investigated, both from…

Physics and Society · Physics 2025-11-25 Huaidian Hou , Arpan Kusari , Brian T. W. Lin

Learning to perform accurate and rich simulations of human driving behaviors from data for autonomous vehicle testing remains challenging due to human driving styles' high diversity and variance. We address this challenge by proposing a…

This paper continues in the work from arXiv:1903.06103 [math.OC] where a nonlinear vehicle model was approximated in a purely data-driven manner by a linear predictor of higher order, namely the Koopman operator. The vehicle system…

Optimization and Control · Mathematics 2021-03-09 Vít Cibulka , Milan Korda , Tomáš Haniš , Martin Hromčík

Traffic waves can rise even from single lane car-following behaviour. To better understand and mitigate traffic waves, it is necessary to use analytical tools like mathematical models, data analysis, and micro-simulations that can capture…

Physics and Society · Physics 2023-10-10 Nour Khoudari , Rabie Ramadan , Megan Ross , Benjamin Seibold

Uncertainty plays a key role in future prediction. The future is uncertain. That means there might be many possible futures. A future prediction method should cover the whole possibilities to be robust. In autonomous driving, covering…

Computer Vision and Pattern Recognition · Computer Science 2022-09-28 Adil Kaan Akan

This paper presents a novel approach to automated drifting with a standard passenger vehicle, which involves a Nonlinear Model Predictive Control to stabilise and maintain the vehicle at high sideslip angle conditions. The proposed…

Robotics · Computer Science 2024-05-20 Stan Meijer , Alberto Bertipaglia , Barys Shyrokau

Statistical mechanics of a small system of cars on a single-lane road is developed. The system is not characterized by a Hamiltonian but by a conditional probability of a velocity of a car for the given velocity and distance of the car…

Physics and Society · Physics 2009-11-13 Anton Šurda

In the present paper a review and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given. Macroscopic traffic equations with multi-valued fundamental…

Numerical Analysis · Mathematics 2015-03-20 Raul Borsche , Mark Kimathi , Axel Klar

Sequential and terminal constraint feasibility of the model predictive control (MPC) play important roles in ensuring MPC control continuity. This study thus investigates these two properties theoretically using an MPC model for vehicle…

Optimization and Control · Mathematics 2022-06-24 Hanyu Zhang , Lili Du

In self-driving, predicting future in terms of location and motion of all the agents around the vehicle is a crucial requirement for planning. Recently, a new joint formulation of perception and prediction has emerged by fusing rich sensory…

Computer Vision and Pattern Recognition · Computer Science 2022-08-12 Adil Kaan Akan , Fatma Güney

On the basis of assumptions about the behavior of driver-vehicle units concerning acceleration, deceleration, overtaking, and lane-changing maneuvers, a gas-kinetic traffic model for uni-directional multi-lane freeways is constructed.…

Statistical Mechanics · Physics 2015-06-25 Dirk Helbing

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

Accurately modeling robot dynamics is crucial to safe and efficient motion control. In this paper, we develop and apply an iterative learning semi-parametric model, with a neural network, to the task of autonomous racing with a Model…

Robotics · Computer Science 2020-11-18 Ignat Georgiev , Christoforos Chatzikomis , Timo Völkl , Joshua Smith , Michael Mistry

Motivated by vision-based control of autonomous vehicles, we consider the problem of controlling a known linear dynamical system for which partial state information, such as vehicle position, is extracted from complex and nonlinear data,…

Optimization and Control · Mathematics 2019-12-24 Sarah Dean , Nikolai Matni , Benjamin Recht , Vickie Ye
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