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The traffic flow through a light signal is explored by using the optimal velocity model and its improvement known as full velocity differences model. The simulations consider a single line of identical cars, equally spaced, and with no…

Physics and Society · Physics 2017-12-07 Juan Carlos Cardona

Movement specific vehicle classification and counting at traffic intersections is a crucial component for various traffic management activities. In this context, with recent advancements in computer-vision based techniques, cameras have…

Computer Vision and Pattern Recognition · Computer Science 2021-11-18 Udita Jana , Jyoti Prakash Das Karmakar , Pranamesh Chakraborty , Tingting Huang , Dave Ness , Duane Ritcher , Anuj Sharma

A microscopic theory of control of spatial-temporal congested traffic pattern at freeway bottlenecks is presented. Based on empirical spatial-temporal features of congested patterns at freeway bottlenecks which have recently been found,…

Statistical Mechanics · Physics 2009-11-10 Boris S. Kerner

In this paper, we study the problem of traffic management in highways facing stochastic perturbations. To model the macroscopic traffic flow under perturbations, we use cell-transmission model with Markovian capacities. The decision…

Systems and Control · Computer Science 2019-07-04 Li Jin , Alexander A. Kurzhanskiy , Saurabh Amin

Pathway idea is a switching mechanism by which one can go from one functional form to another, and to yet another. It is shown that through a parameter $\alpha$, called the pathway parameter, one can connect generalized type-1 beta family…

Mathematical Physics · Physics 2013-07-31 Nicy Sebastian , Dhannya P. Joseph , Seema S. Nair

The goal of this paper is to derive rigorously macroscopic traffic flow models from microscopic models. More precisely, for the microscopic models, we consider follow-the-leader type models with different types of drivers and vehicles which…

Analysis of PDEs · Mathematics 2019-07-05 Pierre Cardaliaguet , Nicolas Forcadel

This work addresses the problem of autonomous traffic management at an isolated intersection for connected and automated vehicles. We decompose the trajectory of each vehicle into two phases: the provisional phase and the coordinated phase.…

Optimization and Control · Mathematics 2021-10-22 Darshan Gadginmath , Pavankumar Tallapragada

We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road network. Traffic on each road is uni-directional, and the dynamics of each vehicle is described by a Follow-the-Leader model. From a mathematical…

Physics and Society · Physics 2020-02-25 Rinaldo M. Colombo , Helge Holden , Francesca Marcellini

We present data from several German freeways showing different kinds of congested traffic forming near road inhomogeneities, specifically lane closings, intersections, or uphill gradients. The states are localized or extended, homogeneous…

Statistical Mechanics · Physics 2009-10-31 Martin Treiber , Ansgar Hennecke , Dirk Helbing

An open problem in autonomous driving research is modeling human driving behavior, which is needed for the planning component of the autonomy stack, safety validation through traffic simulation, and causal inference for generating…

Systems and Control · Electrical Eng. & Systems 2026-01-15 Raunak P. Bhattacharyya , Kyle Brown , Juanran Wang , Katherine Driggs-Campbell , Mykel J. Kochenderfer

Approval of ADS depends on evaluating its behavior within representative real-world traffic scenarios. A common way to obtain such scenarios is to extract them from real-world data recordings. These can then be grouped and serve as basis on…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Niklas Roßberg , Sinan Hasirlioglu , Mohamed Essayed Bouzouraa , Wolfgang Utschick , Michael Botsch

The contribution of this paper is twofold. The first is a novel dataset for studying behaviors of traffic participants while crossing. Our dataset contains more than 650 samples of pedestrian behaviors in various street configurations and…

Robotics · Computer Science 2017-02-14 Amir Rasouli , Iuliia Kotseruba , John K. Tsotsos

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

The dynamical properties of road traffic time series from North-Rhine Westphalian motorways are investigated. The article shows that road traffic dynamics is well described as a persistent stochastic process with two fixed points…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Helge Siegel , Dennis Belomestnyi

In this paper we study a traffic intersection with vehicle-actuated traffic signal control. Traffic lights stay green until all lanes within a group are emptied. Assuming general renewal arrival processes, we derive exact limiting…

Probability · Mathematics 2014-09-11 Marko Boon , Ivo Adan , Erik Winands , Doug Down

Road congestion in urban environments, especially near signalized intersections, has been a major cause of significant fuel and time waste. Various solutions have been proposed to solve the problem of increasing idling times and number of…

Optimization and Control · Mathematics 2018-03-29 Mahmoud Faraj , Baris Fidan , Vincent Gaudet

This paper studies the traffic state estimation problem at signalized intersections with low penetration rate vehicle trajectory data. While many existing studies have proposed different methods to estimate unknown traffic states and…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Xingmin Wang , Zihao Wang , Zachary Jerome , Henry X. Liu

The present paper proposes a stochastic model of the traffic flow. This model has a discrete set of states and the continuous time. The model is a generalization of the discrete stochastis model that has been considered in a previous paper…

Other Condensed Matter · Physics 2007-05-23 A. P. Buslaev , A. G. Tatashev , M. V. Yashina

Forecasting trajectories of human-driven vehicles is a crucial problem in autonomous driving. Trajectory forecasting in the urban area is particularly hard due to complex interactions with cars and pedestrians, and traffic lights (TLs).…

Robotics · Computer Science 2020-04-28 Geunseob Oh , Huei Peng

Traffic bottlenecks are a set of road segments that have an unacceptable level of traffic caused by a poor balance between road capacity and traffic volume. A huge volume of trajectory data which captures real-time traffic conditions in…

Databases · Computer Science 2021-07-28 Hui Luo , Zhifeng Bao , Gao Cong , J. Shane Culpepper , Nguyen Lu Dang Khoa