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Ensuring the safety of road vehicles at an acceptable level requires the absence of any unreasonable risk arising from all potential hazards linked to the intended au-tomated driving function and its implementation. The assurance that there…

Robotics · Computer Science 2025-05-28 Christian Reichenbächer , Jochen Hipp , Oliver Bringmann

We propose a framework for generating a signal control policy for a traffic network of signalized intersections to accomplish control objectives expressible using linear temporal logic. By applying techniques from model checking and formal…

Systems and Control · Computer Science 2016-06-23 Samuel Coogan , Ebru Aydin Gol , Murat Arcak , Calin Belta

The Logit lane assignment model has been introduced recently in order to describe multi-lane traffic flow from a macroscopic point of view. The model is based on the idea that each available lane has a specific utility for each driver, who…

This paper proposes the TrafficFlowGAN, a physics-informed flow based generative adversarial network (GAN), for uncertainty quantification (UQ) of dynamical systems. TrafficFlowGAN adopts a normalizing flow model as the generator to…

Machine Learning · Computer Science 2022-10-18 Zhaobin Mo , Yongjie Fu , Daran Xu , Xuan Di

Recent research has paid little attention to complex driving behaviors, namely merging car-following and lane-changing behavior, and how lane-changing affects algorithms designed to model and control a car-following vehicle. During the…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Farzam Tajdari , Amin Rezasoltani

This study addresses multilane vehicular traffic modelling, focusing on the transition between microscopic (individual vehicle-based) to macroscopic (aggregate flow-based) descriptions. While previous research on multilane traffic has…

Physics and Society · Physics 2025-09-09 Matteo Piu , Giuseppe Visconti , Gabriella Puppo

A general proecological urban road traffic control idea for the street canyon is proposed with emphasis placed on development of advanced continuum field gasdynamical (hydrodynamical) control model of the street canyon. The continuum field…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maciej M. Duras

We demonstrate that in Optimal Velocity Model (OVM) delay times of vehicles coming from the dynamical equation of motion of OVM almost explain the order of delay times observed in actual traffic flows without introducing explicit delay…

patt-sol · Physics 2008-02-03 Masako Bando , Katsuya Hasebe , Ken Nakanishi , Akihiro Nakayama

In this paper we study a phase transition model for vehicular traffic flows. Two phases are taken into account, according to whether the traffic is light or heavy. We assume that the two phases have a non-empty intersection, the so called…

Analysis of PDEs · Mathematics 2018-04-23 Mohamed Benyahia , Carlotta Donadello , Nikodem Dymski , Massimiliano D. Rosini

Vehicle-infrastructure communication opens up new ways to improve traffic flow efficiency at signalized intersections. In this study, we assume that equipped vehicles can obtain information about switching times of relevant traffic lights…

Physics and Society · Physics 2014-04-01 Martin Treiber , Arne Kesting

Traffic congestion and violations pose significant challenges for urban mobility and road safety. Traditional traffic monitoring systems, such as fixed cameras and sensor-based methods, are often constrained by limited coverage, low…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Ali Khanpour , Tianyi Wang , Afra Vahidi-Shams , Wim Ectors , Farzam Nakhaie , Amirhossein Taheri , Christian Claudel

In this paper, we consider the two phases macroscopic traffic model introduced in [P. Goatin, The Aw-Rascle vehicular traffic flow with phase transitions, Mathematical and Computer Modeling 44 (2006) 287-303]. We first apply the wave-front…

Numerical Analysis · Mathematics 2016-02-11 Mohamed Benyahia , Massimiliano Daniele Rosini

Traffic congestion is a complex, nonlinear spatiotemporal modeling problem. By collecting and analyzing a vast quantity and different categories of information, traffic flow, and road congestion can be predicted and controlled on an…

Computers and Society · Computer Science 2019-10-02 Karisma Trinanda Putra , Jing-Doo Wang , Eko Prasetyo , Prayitno

One of the challenges in designing safe, reliable and trustworthy Autonomous Vehicles (AVs) is to ensure that the AVs abide by traffic rules. For this, the AVs need to be able to understand and reason about traffic rules. In previous work,…

Logic in Computer Science · Computer Science 2022-09-29 Gleifer Vaz Alves , Maike Schwammberger

We propose a model for the intersection of two urban streets. The traffic status of the crossroads is controlled by a set of traffic lights which periodically switch to red and green with a total period of T. Two different types of…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Masoud Nematollahi

A field deterministic model of the vehicular dynamics in a generic urban street canyon with two neighboring canyons is considered. The assumed hydrodynamical model of vehicular movement is coupled to the gasdynamical model of the air and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maciej M. Duras

We study statistical properties of a family of maps acting in the space of integer valued sequences, which model dynamics of simple deterministic traffic flows. We obtain asymptotic (as time goes to infinity) properties of trajectories of…

Dynamical Systems · Mathematics 2007-05-23 Michael Blank

This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely…

Mathematical Physics · Physics 2015-06-15 Chun-Xiu Wu , Peng Zhang , S. C. Wong , Keechoo Choi

In this article, we investigate the long-term behavior of the ``Bando--follow-the-leader'' car-following model, whose well-posedness and stability with respect to delay were analyzed in a recent work \cite{gong2023well}. We first establish…

Classical Analysis and ODEs · Mathematics 2026-03-03 Fei Cao , Xiaoqian Gong , Alexander Keimer

The presence of (partially) automated vehicles on the roads presents an opportunity to compensate the unstable behaviour of conventional vehicles. Vehicles subject to perturbations should (i) recover their equilibrium speed, (ii) react not…

Systems and Control · Computer Science 2018-03-16 Julien Monteil , Melanie Bouroche , Douglas J. Leith
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