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In the coming years and decades, autonomous vehicles (AVs) will become increasingly prevalent, offering new opportunities for safer and more convenient travel and potentially smarter traffic control methods exploiting automation and…

Robotics · Computer Science 2022-10-04 Tianyu Shi , Yifei Ai , Omar ElSamadisy , Baher Abdulhai

A two parameter model for single lane car-following is introduced and its equilibrium and non-equilibrium properties are studied. Despite its simplicity, this model exhibits a rich phenomenology, analogous to that observed in real traffic,…

Statistical Mechanics · Physics 2007-05-23 M. Antoni , R. Cafiero

The balanced vehicular traffic model is a macroscopic model for vehicular traffic flow. We use this model to study the traffic dynamics at highway bottlenecks either caused by the restriction of the number of lanes or by on-ramps or…

Physics and Society · Physics 2007-05-23 Florian Siebel , Wolfram Mauser , Salissou Moutari , Michel Rascle

Improper lane-changing behaviors may result in breakdown of traffic flow and the occurrence of various types of collisions. This study investigates lane-changing behaviors of multiple vehicles and the stimulative effect on following drivers…

Machine Learning · Computer Science 2022-06-07 Ruifeng Gu

The increase in congestion in surface traffic, airborne pollution, and other environmental issues have motivated the transit authorities to promote public transit worldwide. In big cities and large metropolitan areas, adding new rapid…

Optimization and Control · Mathematics 2025-12-09 Natividad González-Blanco , Antonio J. Lozano , Vladimir Marianov , Juan A. Mesa

First we consider a unidirectional flux \omega_bar of vehicles each of which is characterized by its `natural' velocity v drawn from a distribution P(v). The traffic flow is modeled as a collection of straight `world lines' in the…

Statistical Mechanics · Physics 2015-05-19 C. Appert-Rolland , H. J. Hilhorst , G. Schehr

We propose a model describing the traffic flow on a road with variable widths in this paper. The model, which is modified the Aw-Rascle model, is not conservative because of the source term. We obtain the elementary waves of the new traffic…

Analysis of PDEs · Mathematics 2021-08-16 Wancheng Sheng , Qinglong Zhang

Kinetics of dilute heterogeneous traffic on a two lane road is formulated in the framework of the Ben-Naim Krapivsky model and stationary state properties are analytically derived in the asymptotic limit. The heterogeneity is introduced as…

Physics and Society · Physics 2022-08-02 A. Sai Venkata Ramana , Saif Eddin Jabari

Multi-lane totally asymmetric simple exclusion processes with interactions between the lanes have recently been investigated actively. This paper proposes a two-lane model with extended Langmuir kinetics on a periodic lattice. Both…

Cellular Automata and Lattice Gases · Physics 2022-02-09 Hiroki Yamamoto , Shingo Ichiki , Daichi Yanagisawa , Katsuhiro Nishinari

We investigate two models for traffic flow with modified acceleration ('slow-to-start') rules. Even in the simplest case $v_{max}=1$ these rules break the 'particle-hole` symmetry of the model. We determine the fundamental diagram…

Statistical Mechanics · Physics 2009-10-30 Andreas Schadschneider , Michael Schreckenberg

With the widely used method of correlation matrix analysis, this study reveals the change of traffic states on parallel motorways in North Rhine-Westphalia, Germany. In terms of the time series of traffic flow and velocity, we carry out a…

Physics and Society · Physics 2022-05-18 Sebastian Gartzke , Shanshan Wang , Thomas Guhr , Michael Schreckenberg

We extend the classical LWR traffic model allowing different maximal speeds to different vehicles. Then, we add a uniform bound on the traffic speed. The result, presented in this paper, is a new macro- scopic model displaying 2 phases,…

Analysis of PDEs · Mathematics 2009-09-16 Rinaldo M. Colombo , Francesca Marcellini , Michel Rascle

Self-driving vehicles have the potential to reduce accidents and fatalities on the road. Many production vehicles already come equipped with basic self-driving capabilities, but have trouble following lanes in adverse lighting and weather…

Robotics · Computer Science 2024-06-12 Michael Khalfin , Jack Volgren , Matthew Jones , Luke LeGoullon , Joshua Siegel , Chan-Jin Chung

Dynamic arrest is a general phenomenon across a wide range of dynamic systems, but the universality of dynamic arrest phenomena remains unclear. We relate the emergence of traffic jams in a simple traffic flow model to the dynamic slow down…

Statistical Mechanics · Physics 2013-06-27 A. S. de Wijn , D. M. Miedema , B. Nienhuis , P. Schall

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

To tackle ever-increasing city traffic congestion problems, researchers have proposed deep learning models to aid decision-makers in the traffic control domain. Although the proposed models have been remarkably improved in recent years,…

Machine Learning · Computer Science 2022-08-10 Hyunwook Lee , Cheonbok Park , Seungmin Jin , Hyeshin Chu , Jaegul Choo , Sungahn Ko

This paper presents an online smooth-path lane-change control framework. We focus on dense traffic where inter-vehicle space gaps are narrow, and cooperation with surrounding drivers is essential to achieve the lane-change maneuver. We…

Systems and Control · Electrical Eng. & Systems 2024-03-29 Sangjae Bae , David Isele , Alireza Nakhaei , Peng Xu , Alexandre Miranda Anon , Chiho Choi , Kikuo Fujimura , Scott Moura

Overtaking on two-lane roads is a great challenge for autonomous vehicles, as oncoming traffic appearing on the opposite lane may require the vehicle to change its decision and abort the overtaking. Deep reinforcement learning (DRL) has…

Robotics · Computer Science 2023-08-21 Jinxiong Lu , Gokhan Alcan , Ville Kyrki

The thesis deals with the Aw-Rascle-Zhang model for traffic. We have applied the model to describe the influence of a large and slow vehicle (a bus or a truck) on the traffic. The trajectory of the bus is given by an ODE. The model can also…

Analysis of PDEs · Mathematics 2016-05-03 Stefano Villa

This paper presents an analysis of rearward gap acceptance characteristics of drivers of large trucks in highway lane change scenarios. The range between the vehicles was inferred from camera images using the estimated lane width obtained…

Systems and Control · Computer Science 2017-08-01 Kazutoshi Nobukawa , Shan Bao , David J. LeBlanc , Ding Zhao , Huei Peng , Christopher S. Pan
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