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The coordination problem of multi-vehicle systems is of great interests in the area of autonomous driving and multi-vehicle control. This work mainly focuses on multi-task coordination problem of a group of vehicles with a bicycle model and…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Dongkun Han , Yijun Huang , Hejun Huang , Tianrui Fang

The equation of motion of a general class of macroscopic traffic flow models is linearized around a steady uniform flow. A closed-form solution of a boundary-initial value problem is obtained, and it is used to describe several phenomena.…

Physics and Society · Physics 2015-04-10 Tal Cohen , Rohan Abeyaratne

We investigate the adaptation of the time headways in car-following models as a function of the local velocity variance, which is a measure of the inhomogeneity of traffic flow. We apply this mechanism to several car-following models and…

Physics and Society · Physics 2007-08-08 Martin Treiber , Arne Kesting , Dirk Helbing

In this paper, we consider a time-headway model, introduced in Physica A 296:320 (2001), for buses on a bus route. By including a simple no-passing rule, we are able to enumerate and study the unstable modes of a homogeneous system. We then…

Statistical Mechanics · Physics 2009-11-10 Scott A. Hill

By analyzing data from a car-following experiment, it is shown that drivers control their car by a simple scheme. The acceleration $a(t)$ is held approximately constant for a certain time interval, followed by a jump to a new acceleration.…

Statistical Mechanics · Physics 2007-05-23 Peter Wagner , Ihor Lubashevsky

In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the flow of cars, which would be lost with a purely continuous…

Mathematical Physics · Physics 2014-03-25 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

Considering information as the basis of action, it may be of interest to examine the flow and acquisition of information between the actors in traffic. The central question is: Which signals does an automated driving system (which will be…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Hans Nikolaus Beck , Nayel Fabian Salem , Veronica Haber , Matthias Rauschenbach , Jan Reich

An urban traffic system is a heterogeneous system, which consists of different types of intersections and dynamics. In this paper, we focus on one type of heterogeneous traffic network, which consists of signalized junctions and…

Optimization and Control · Mathematics 2017-05-11 Yicheng Zhang , Rong Su , Yi Zhang , Chunyang Sun

To improve the routing decisions of individual drivers and the management policies designed by traffic operators, one needs reliable estimates of travel time distributions. Since congestion caused by both recurrent patterns (e.g., rush…

Physics and Society · Physics 2022-10-13 Nikki Levering , Marko Boon , Michel Mandjes

In transportation systems (e.g. highways, railways, airports), traffic flows with distinct origin-destination pairs usually share common facilities and interact extensively. Such interaction is typically stochastic due to natural…

Optimization and Control · Mathematics 2019-08-06 Li Jin , Yining Wen

There is quickly growing literature on machine-learned models that predict human driving trajectories in road traffic. These models focus their learning on low-dimensional error metrics, for example average distance between model-generated…

To provide a more accurate description of the driving behaviors in vehicle queues, a namely Markov-Gap cellular automata model is proposed in this paper. It views the variation of the gap between two consequent vehicles as a Markov process…

Data Analysis, Statistics and Probability · Physics 2009-04-23 Fa Wang , Li Li , Jianming Hu , Yan Ji , Danya Yao , Yi Zhang , Xuexiang Jin , Yuelong Su , Zheng Wei

The blocking problem naturally arises in transportation systems as multiple vehicles with different itineraries share available resources. In this paper, we investigate the impact of the blocking problem to the waiting time at the…

Systems and Control · Computer Science 2016-01-21 Shanyu Zhou , Hulya Seferoglu

This study attempts to investigate the relationship between crash occurrence at signalized intersections and real-time traffic, signal timing, and weather characteristics based on 23 signalized intersections in Central Florida. The…

Applications · Statistics 2018-08-21 Jinghui Yuan , Mohamed Abdel-Aty

In this paper, we propose an approach how connected and highly automated vehicles can perform cooperative maneuvers such as lane changes and left-turns at urban intersections where they have to deal with human-operated vehicles and…

Computer Science and Game Theory · Computer Science 2022-11-16 Björn Koopmann , Stefan Puch , Günter Ehmen , Martin Fränzle

Naturalistic driving studies use devices in participants' own vehicles to record daily driving over many months. Due to diverse and extensive amounts of data recorded, automated processing is necessary. This report describes methods to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-12 Shrinivas Pundlik , Seonggyu Choe , Patrick Baker , Chen-Yuan Lee , Naser Al-Madi , Alex R. Bowers , Gang Luo

To gain essential understandings of traffic flow, four theorems are derived to establish the kinematics of the basic unit of traffic flow, namely two consecutive vehicles. The first is to determine the two critical distances of the vehicle…

Physics and Society · Physics 2022-12-21 Xin Shui

A discrete model of traffic on a multilane road is considered. The traffic is presented as particles movement with a deterministic component and a stochastic one. Formulas for the traffic characteristics have been found. The model can…

Physics and Society · Physics 2007-05-23 A. P. Buslaev , V. M. Prikhodko , A. G. Tatashev , M. V. Yashina

This work gives introduction to traffic control by connected automated vehicles. The influence of vehicle control on vehicular traffic and traffic control strategies are discussed and compared. It is highlighted that vehicle-to-everything…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Tamas G. Molnar , Michael Hopka , Devesh Upadhyay , Michiel Van Nieuwstadt , Gabor Orosz

The increasing urbanization process we have been witnessing in the last decades is accompanied by a significant increase in traffic congestion in cities around the world. The effect of the congestion is represented in the enormous time…

Physics and Society · Physics 2021-11-01 Nimrod Serok , Shlomo Havlin , Efrat Blumenfeld Lieberthal
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