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Safety-critical traffic scenarios are integral to the development and validation of autonomous driving systems. These scenarios provide crucial insights into vehicle responses under high-risk conditions rarely encountered in real-world…

Robotics · Computer Science 2024-10-08 Jinxiong Lu , Shoaib Azam , Gokhan Alcan , Ville Kyrki

This paper presents two one-dimensional mathematical models describing automobile traffic flow on straight road segments at a signalized intersection. When the traffic light is permissive, the flow density and velocity are obtained by…

Analysis of PDEs · Mathematics 2026-04-29 Akbota Senkebayeva

Urban road transport is a major civilisational and economic challenge, affecting the quality of life and economic activity. Addressing these challenges requires a multidisciplinary approach and sustainable urban planning strategies to…

Analysis of PDEs · Mathematics 2026-05-20 Mauritz N. Cartier van Dissel , Paweł Gora , Dragoş Manea

We study the spatiotemporal patterns resulting from different boundary conditions for a microscopic traffic model and contrast it with empirical results. By evaluating the time series of local measurements, the local traffic states are…

Physics and Society · Physics 2013-07-08 Florian Knorr , Michael Schreckenberg

A two--dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

adap-org · Physics 2008-02-03 Jan Freund , Thorsten Pöschel

For a foreseeable future, autonomous vehicles (AVs) will operate in traffic together with human-driven vehicles. Their planning and control systems need extensive testing, including early-stage testing in simulations where the interactions…

Robotics · Computer Science 2020-07-21 Ran Tian , Nan Li , Ilya Kolmanovsky , Yildiray Yildiz , Anouck Girard

Unsignalized intersection driving is challenging for automated vehicles. For safe and efficient performances, the diverse and dynamic behaviors of interacting vehicles should be considered. Based on a game-theoretic framework, a human-like…

Robotics · Computer Science 2022-01-11 Daofei Li , Guanming Liu , Bin Xiao

We develop a discrete Boltzmann-type model that uses dynamics in phase space to describe the behavior of traffic flows. Firstly, we model the traffic flow at mesoscopic scale using dynamics in phase space, which is considered as an…

Cellular Automata and Lattice Gases · Physics 2023-11-27 Zhizhen Zhang , Changhong Lu

Recent advances in multiagent simulations have made possible the study of realistic traffic patterns and allow to test theories based on driver behaviour. Such simulations also display various empirical features of traffic flows, and are…

Statistical Mechanics · Physics 2015-06-25 Dirk Helbing , Bernardo A. Huberman

In shared spaces, motorized and non-motorized road users share the same space with equal priority. Their movements are not regulated by traffic rules, hence they interact more frequently to negotiate priority over the shared space. To…

Artificial Intelligence · Computer Science 2021-07-06 Fatema T. Johora , Jörg P. Müller

Modular automated driving systems commonly handle prediction and planning as sequential, separate tasks, thereby prohibiting cooperative maneuvers. To enable cooperative planning, this work introduces a prediction model that models the…

Robotics · Computer Science 2025-02-06 Fabian Konstantinidis , Moritz Sackmann , Ulrich Hofmann , Christoph Stiller

A two-dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

Statistical Mechanics · Physics 2015-06-24 Jan Freund , Thorsten Poeschel

Dense human flow has been a concern for the safety of public events for a long time. Macroscopic pedestrian models, which are mainly based on fluid dynamics, are often used to simulate huge crowds due to their low computational costs…

Multiagent Systems · Computer Science 2016-01-24 Daniel H. Biedermann , Peter M. Kielar , Quirin Aumann , Carlos M. Osorio , Celeste T. W. Lai

Frequent lane-changes in highway merging, diverging, and weaving areas could disrupt traffic flow and, even worse, lead to accidents. In this paper, we propose a simple model for studying bottleneck effects of lane-changing traffic and…

Dynamical Systems · Mathematics 2010-04-14 Wen-Long Jin

Traffic simulation has gained a lot of interest for quantitative evaluation of self driving vehicles performance. In order for a simulator to be a valuable test bench, it is required that the driving policy animating each traffic agent in…

Machine Learning · Computer Science 2022-08-10 Yann Koeberle , Stefano Sabatini , Dzmitry Tsishkou , Christophe Sabourin

Our aim in this paper is to establish a theoretical fundamental diagram for a multi-class traffic flow from a gas-kinetic-like traffic model. We start with a multi-class generalization of the Prigogine-Herman-Boltzmann equation to construct…

Statistical Mechanics · Physics 2019-09-04 A. R. Mendez , W. Marques , R. M. Velasco

Every driver knows that severe weather conditions cause traffic congestions. In many cases there is no direct reason for the congestion, and people tend to attribute it to the slow driving mode. Our computational study shows that the slow…

Chaotic Dynamics · Physics 2008-12-15 Azi Lipshtat

With the advent of autonomous driving technologies, traffic control at intersections is expected to experience revolutionary changes. Various novel intersection control methods have been proposed in the existing literature, and they can be…

Systems and Control · Electrical Eng. & Systems 2020-08-17 Chen Yang , Xi Lin , Meng Li , Fang He

Accurate trajectory prediction of vehicles at roundabouts is critical for reducing traffic accidents, yet it remains highly challenging due to their circular road geometry, continuous merging and yielding interactions, and absence of…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Xiaotong Zhou , Zhenhui Yuan , Yi Han , Tianhua Xu , Laurence T. Yang

In recent years, automotive technology has made a steady progress. In particular, Advanced Driver Assistance System (ADAS) has enabled many safety features in commercial vehicles, for instance, pedestrian detection, lane keeping assist,…

Systems and Control · Electrical Eng. & Systems 2022-12-26 Avinash Prabu , Lingxi Li , Brian King , Yaobin Chen
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