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In recent years statistical physicists have developed {\it discrete} "particle-hopping" models of vehicular traffic, usually formulated in terms of {\it cellular automata}, which are similar to the microscopic models of interacting charged…

Statistical Mechanics · Physics 2007-05-23 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider

Microscopic traffic flow models can be distinguished in lane-based or lane-free depending on the degree of lane-discipline. This distinction holds true only if motorcycles are neglected in lane-based traffic. In cities, as opposed to…

Social and Information Networks · Computer Science 2022-10-26 Georg Anagnostopoulos , Nikolas Geroliminis

This paper offers an integrative data-driven physics-inspired approach to model and control traffic congestion in a resilient and efficient manner. While existing physics-based approaches commonly assign density and flow traffic states by…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Hossein Rastgoftar , Ella Atkins

This paper considers a novel travel-delay-based Max Pressure algorithm for control of arbitrary transportation networks with signalized intersections. The traditional number-of-vehicle-based Max Pressure (Original-MP) algorithm has received…

Optimization and Control · Mathematics 2022-10-14 Hao Liu , Vikash V. Gayah

Car-following is a control process in which a following vehicle (FV) adjusts its acceleration to keep a safe distance from the lead vehicle (LV). Recently, there has been a booming of data-driven models that enable more accurate modeling of…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Xianda Chen , Meixin Zhu , Kehua Chen , Pengqin Wang , Hongliang Lu , Hui Zhong , Xu Han , Yinhai Wang

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

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

In this work, we derive first order continuum traffic flow models from a microscopic delayed follow-the-leader model. Those are applicable in the context of vehicular traffic flow as well as pedestrian traffic flow. The microscopic model is…

Numerical Analysis · Mathematics 2016-12-14 Antoine Tordeux , Guillaume Costeseque , Michael Herty , Armin Seyfried

Expert human drivers perform actions relying on traffic laws and their previous experience. While traffic laws are easily embedded into an artificial brain, modeling human complex behaviors which come from past experience is a more…

Multiagent Systems · Computer Science 2019-03-05 Giulio Bacchiani , Daniele Molinari , Marco Patander

A simple one-dimensional spring-block chain with asymmetric interactions is considered to model an idealized single-lane highway traffic. The main elements of the system are blocks (modeling cars), springs with unidirectional interactions…

Data Analysis, Statistics and Probability · Physics 2011-11-04 Ferenc Jarai-Szabo , Bulcsu Sandor , Zoltan Neda

A macroscopic model is proposed to depict the traffic dynamics involved in urban traffic systems. The link dynamics are described based on the cell-transmission model and bounded by the link capacities, while the flow dynamics are proposed…

Optimization and Control · Mathematics 2020-02-25 Yicheng Zhang

A fair simple car driving simulator was created based on the open source engine TORCS and used in car-following experiments aimed at studying the basic features of human behavior in car driving. Four subjects with different skill in driving…

Adaptation and Self-Organizing Systems · Physics 2015-11-17 Hiromasa Ando , Ihor Lubashevsky , Arkady Zgonnikov , Yoshiaki Saito

In this contribution, we introduce a general class of car-following models with an input-state-output port-Hamiltonian structure. We derive stability conditions and long-term behavior of the finite system with periodic boundaries and…

Dynamical Systems · Mathematics 2025-02-04 Julia Ackermann , Matthias Ehrhardt , Thomas Kruse , Antoine Tordeux

This paper investigates the accuracy and robustness of car-following (CF) and adaptive cruise control (ACC) models used to simulate measured driving behaviour of commercial ACCs. To this aim, a general modelling framework is proposed, in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Yinglong He , Marcello Montanino , Konstantinos Mattas , Vincenzo Punzo , Biagio Ciuffo

Traffic flow is a very prominent example of a driven non-equilibrium system. A characteristic phenomenon of traffic dynamics is the spontaneous and abrupt drop of the average velocity on a stretch of road leading to congestion. Such a…

Physics and Society · Physics 2012-10-29 Florian Knorr , Michael Schreckenberg

Urban congestions cause inefficient movement of vehicles and exacerbate greenhouse gas emissions and urban air pollution. Macroscopic emission fundamental diagram (eMFD)captures an orderly relationship among emission and aggregated traffic…

This paper proposes a novel approach to integrate optimal control of perimeter intersections (i.e. to minimize local delay) into the perimeter control scheme (i.e. to optimize traffic performance at the network level). This is a complex…

Optimization and Control · Mathematics 2017-09-26 Kaidi Yang , Nan Zheng , Monica Menendez

A resilient multi-vehicle system cooperatively performs tasks by exchanging information, detecting, and removing cyber attacks that have the intent of hijacking or diminishing performance of the entire system. In this paper, we propose a…

Systems and Control · Electrical Eng. & Systems 2021-10-06 Paul J Bonczek , Nicola Bezzo

This paper deals with traffic control at motorway bottlenecks assuming the existence of an unknown, time-varying, Fundamental Diagram (FD). The FD may change over time due to different traffic compositions, e.g., light and heavy vehicles,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Farzam Tajdari , Claudio Roncoli

Interpretation of common-yet-challenging interaction scenarios can benefit well-founded decisions for autonomous vehicles. Previous research achieved this using their prior knowledge of specific scenarios with predefined models, limiting…

Robotics · Computer Science 2022-05-31 Chengyuan Zhang , Jiacheng Zhu , Wenshuo Wang , Junqiang Xi