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Reaction delays play an important role in determining the qualitative dynamical properties of a platoon of vehicles traversing a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Classical…

Systems and Control · Computer Science 2019-01-28 Gopal Krishna Kamath , Krishna Jagannathan , Gaurav Raina

We discuss a phenomenological approach to the description of unstable vehicle motion on multilane highways that explains in a simple way the observed sequence of the phase transitions "free flow -> synchronized motion -> jam" as well as the…

Statistical Mechanics · Physics 2009-10-31 Ihor A. Lubashevsky , Reinhard Mahnke

The main motivation of this work is to assess the validity of a LWR traffic flow model to model measurements obtained from trajectory data, and propose extensions of this model to improve it. A formulation for a discrete dynamical system is…

Signal Processing · Electrical Eng. & Systems 2023-12-06 Mike Pereira , Pinar Boyraz Baykas , Balázs Kulcsár , Annika Lang

The Gipps car-following model is a widely used tool for studying and simulation traffic dynamics. Despite its popularity an often disregarded property is that under heterogeneous parametrization on the individual vehicles in the traffic…

Adaptation and Self-Organizing Systems · Physics 2019-02-14 Leonhard Lücken

This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equations. The network is characterized by bounded buffers at…

Numerical Analysis · Mathematics 2020-04-22 Theresa Dambach , Simone Göttlich , Stephan Knapp

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

Parking occupancy in the area is defined by three major parameters - the rate of cars arrivals, the dwell time of already parked cars, and the willingness of drivers who are searching but yet did not find a vacant parking spot, to continue…

Physics and Society · Physics 2022-10-27 Aleksey Ogulenko , Itzhak Benenson , Nir Fulman

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

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

By means of a novel variational approach we study ergodic properties of a model of a multi lane traffic flow, considered as a (deterministic) wandering of interacting particles on an infinite lattice. For a class of initial configurations…

Chaotic Dynamics · Physics 2007-05-23 Michael Blank

This paper presents a new spatial-temporal nonlocal traffic flow model formulated to overcome the boundedness limitations inherent in classical local formulations. The model introduces an adaptive kernel that captures both spatial and…

Numerical Analysis · Mathematics 2026-03-30 Animesh Biswas , Archie Huang , Shaurya Agarwal , Christopher Housholder

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

The recent availability of data for cities has allowed scientists to exhibit scalings which present themselves in the form of a power-law dependence with population of various socio-economical and structural indicators. We propose here a…

Physics and Society · Physics 2014-07-18 Rémi Louf , Marc Barthelemy

We investigate the behaviour of an original traffic model. The model considers a single multi-lane street, populated by autonomous vehicles directed from either end to the other. Lanes have no intrinsic directionality, and the vehicles are…

Computational Physics · Physics 2007-05-23 Federico Polito , Fergal Dalton

Lagging or halted traffic is bothersome. As such, it is desirable to have a model that can begin to determine the efficiency of various traffic standardizations. Our model intended to create a multifaceted realistic simulation of traffic…

Cellular Automata and Lattice Gases · Physics 2018-03-28 Camilla Champion , Cody Champion

Traffic waves, known also as stop-and-go waves or phantom hams, appear naturally as traffic instabilities, also in confined environments as a ring-road. A multi-population traffic is studied on a ring-road, comprised of drivers with stable…

Optimization and Control · Mathematics 2022-01-04 Amaury Hayat , Benedetto Piccoli , Shengquan Xiang

The prediction of surrounding traffic participants behavior is a crucial and challenging task for driver assistance and autonomous driving systems. Today's approaches mainly focus on modeling dynamic aspects of the traffic situation and try…

Computers and Society · Computer Science 2021-10-27 Florian Wirthmüller , Jochen Hipp , Christian Reichenbächer , Manfred Reichert

Critical incident stages identification and reasonable prediction of traffic incident duration are essential in traffic incident management. In this paper, we propose a traffic incident duration prediction model that simultaneously predicts…

Machine Learning · Computer Science 2019-11-21 Kaiqun Fu , Taoran Ji , Liang Zhao , Chang-Tien Lu

Understanding and predicting highway lane-change maneuvers is essential for driving modeling and its automation. The development of data-based lane-changing decision-making algorithms is nowadays in full expansion. We compare empirically in…

Machine Learning · Computer Science 2023-02-08 Basma Khelfa , Ibrahima Ba , Antoine Tordeux

We provide a model to understand how adverse weather conditions modify traffic flow dynamic. We first prove that the microscopic Free Flow Speed of the vehicles is changed and then provide a rule to model this change. For this, we consider…