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In this thesis, Riemann problems and Godunov methods are developed for higher order traffic flow models. A rigorous analysis of the first order traffic flow model of inhomogeneous road is presented. A two-level simulation framework of…

Dynamical Systems · Mathematics 2009-09-29 Wenlong Jin

We propose a new model of one-dimensional traffic flow using a coupled map lattice. In the model, each vehicle is assigned a map and changes its velocity according to it. A single map is designed so as to represent the motion of a vehicle…

Condensed Matter · Physics 2009-10-22 Satoshi Yukawa , Macoto Kikuchi

Vehicle-to-vehicle communications can change the driving behavior of drivers significantly by providing them rich information on downstream traffic flow conditions. This study seeks to model the varying car-following behaviors involving…

Systems and Control · Computer Science 2018-09-18 Lin Liu , Chunyuan Li , Yongfu Li , Srinivas Peeta , Lei Lin

Exponential random graph models are an important tool in the statistical analysis of data. However, Bayesian parameter estimation for these models is extremely challenging, since evaluation of the posterior distribution typically involves…

Computation · Statistics 2017-05-05 Lampros Bouranis , Nial Friel , Florian Maire

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined on a road network that is a collection of roads with…

Analysis of PDEs · Mathematics 2007-05-23 G. M. Coclite , B. Piccoli

Driving on roads is restricted by various traffic rules, aiming to ensure safety for all traffic participants. However, human road users usually do not adhere to these rules strictly, resulting in varying degrees of rule conformity. Such…

Robotics · Computer Science 2022-07-25 Daniel Bogdoll , Moritz Nekolla , Tim Joseph , J. Marius Zöllner

Achieving human-like driving behaviors in complex open-world environments is a critical challenge in autonomous driving. Contemporary learning-based planning approaches such as imitation learning methods often struggle to balance competing…

Intra-driver and inter-driver heterogeneity has been confirmed to exist in human driving behaviors by many studies. In this study, a joint model of the two types of heterogeneity in car-following behavior is proposed as an approach of…

Computer Vision and Pattern Recognition · Computer Science 2020-05-25 Donghao Xu , Zhezhang Ding , Chenfeng Tu , Huijing Zhao , Mathieu Moze , François Aioun , Franck Guillemard

In one-dimensional, heterogeneous systems, the whole traffic dynamics depend strongly on the behavior of the leading vehicle. This result holds for a class of vehicular traffic models satisfying the following properties. The interactions…

Physics and Society · Physics 2021-06-03 Ricardo S. P. Lopes

A variety of statistical and machine learning methods are used to model crash frequency on specific roadways with machine learning methods generally having a higher prediction accuracy. Recently, heterogeneous ensemble methods (HEM),…

Machine Learning · Computer Science 2022-07-25 Numan Ahmad , Behram Wali , Asad J. Khattak

In recent years, passively recorded probe traffic volumes have increasingly been used to estimate traffic volumes. However, it is not always possible to count probe traffic volume in a spatial dataset when probe trajectories cannot be fully…

Computers and Society · Computer Science 2024-10-15 Kentaro Iio , Gulshan Noorsumar , Dominique Lord , Yunlong Zhang

As a typical self-driven many-particle system far from equilibrium, traffic flow exhibits diverse fascinating non-equilibrium phenomena, most of which are closely related to traffic flow stability and specifically the growth/dissipation…

Adaptation and Self-Organizing Systems · Physics 2015-06-18 Rui Jiang , Mao-Bin Hu , H. M. Zhang , Zi-You Gao , Bin Jia , Qing-Song Wu , Bing Wang , Ming Yang

Hypotheses and some results of the three-phase traffic theory by the author are compared with results of the fundamental diagram approach to traffic flow theory. A critical discussion of model results about congested pattern features which…

Statistical Mechanics · Physics 2007-05-23 Boris S. Kerner

We propose a simple and effective method to derive the Fundamental Diagram (FD) from platoon vehicle trajectories. Average traffic state variables are computed using Edie's generalized definitions within time-dependent trapezoidal…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Michail A. Makridis , Anastasios Kouvelas , Jorge A. Laval

Recent applications of a new methodology to measure fundamental traffic relations on freeways shows that many of the critical parameters of the flow-density and speed-spacing diagrams depend on vehicle length. In response to this fact, we…

Physics and Society · Physics 2019-02-19 W. Marques , A. R. Mendez , R. M. Velasco

Many vehicles spend a significant amount of time in urban traffic congestion. Due to the evolution of autonomous cars, driver assistance systems, and in-vehicle entertainment, many vehicles have plentiful computational and communication…

Networking and Internet Architecture · Computer Science 2021-10-19 Kanika Sharma , Bernard Butler , Brendan Jennings

This paper introduces constrained mixtures for continuous distributions, characterized by a mixture of distributions where each distribution has a shape similar to the base distribution and disjoint domains. This new concept is used to…

Machine Learning · Statistics 2015-03-29 Conrado S. Miranda , Fernando J. Von Zuben

Traffic volume is an indispensable ingredient to provide fine-grained information for traffic management and control. However, due to limited deployment of traffic sensors, obtaining full-scale volume information is far from easy. Existing…

Machine Learning · Statistics 2023-10-31 Tong Nie , Guoyang Qin , Yunpeng Wang , Jian Sun

Accurate trajectory prediction of nearby vehicles is crucial for the safe motion planning of automated vehicles in dynamic driving scenarios such as highway merging. Existing methods cannot initiate prediction for a vehicle unless observed…

Robotics · Computer Science 2023-06-12 Sajjad Mozaffari , Mreza Alipour Sormoli , Konstantinos Koufos , Graham Lee , Mehrdad Dianati

The emergence of congestion is a critical phenomenon in transport systems. Transport is organized along pathways abstracted by links, which connect different nodes as regions to form the network. The modeling of traffic has so far mainly…

Physics and Society · Physics 2023-03-23 Zhidong He
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