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Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

We investigate how to control optimally a traffic flow through a junction on the line by acting only on speed reduction or traffic light at the junction. We show the existence of an optimal control and, under structure assumptions, provide…

Optimization and Control · Mathematics 2023-12-27 P. Cardaliaguet , P. E. Souganidis

A system of identical cars on a single-lane road is treated as a microcanonical and canonical ensemble. Behaviour of the cars is characterized by the probability of car velocity as a function of distance and velocity of the car ahead. The…

Physics and Society · Physics 2007-05-23 Anton Šurda

In modern life the road safety has becomes the core issue. One single move of a driver can cause horrifying accident. The main goal of intelligent car system is to make communication with other cars on the road. The system is able to…

Robotics · Computer Science 2012-02-28 Qasim Siddique

Autonomous driving has been the subject of increased interest in recent years both in industry and in academia. Serious efforts are being pursued to address legal, technical and logistical problems and make autonomous cars a viable option…

Artificial Intelligence · Computer Science 2016-08-31 Nan Li , Dave Oyler , Mengxuan Zhang , Yildiray Yildiz , Ilya Kolmanovsky , Anouck Girard

For a foreseeable future, autonomous vehicles (AVs) will operate in traffic together with human-driven vehicles. Their planning and control systems need extensive testing, including early-stage testing in simulations where the interactions…

Robotics · Computer Science 2020-07-21 Ran Tian , Nan Li , Ilya Kolmanovsky , Yildiray Yildiz , Anouck Girard

A robust estimation of road course and traffic lanes is an essential part of environment perception for next generations of Advanced Driver Assistance Systems and development of self-driving vehicles. In this paper, a flexible method for…

Robotics · Computer Science 2017-06-07 Alexey Abramov , Christopher Bayer , Claudio Heller , Claudia Loy

Recent transportation research highlights the potential of autonomous vehicles (AV) to improve traffic flow mobility as they are able to maintain smaller car-following distances. However, as a unique class of ground robots, AVs are…

Robotics · Computer Science 2025-07-09 Hangyu Li , Xiaotong Sun , Chenglin Zhuang , Xiaopeng Li

Effects of large value assigned to the maximal car velocity on the fundamental diagrams in the Nagel-Schreckenberg model are studied by extended simulations. The function relating the flow in the congested traffic phase with the car density…

Physics and Society · Physics 2007-05-23 Danuta Makowiec , Wieslaw Miklaszewski

Understanding the effect of road geometry on human driving behaviour is essential for both road safety studies and traffic microsimulation. Research on this topic is still limited, mainly focusing on free-flow traffic and not adequately…

Physics and Society · Physics 2025-01-24 Fabrizio Pelella , Gaetano Zaccaria , Vincenzo Punzo , Marcello Montanino

We investigate a probabilistic cellular automaton model which has been introduced recently. This model describes single-lane traffic flow on a ring and generalizes the asymmetric exclusion process models. We study the equilibrium properties…

Condensed Matter · Physics 2009-10-22 M. Schreckenberg , A. Schadschneider , K. Nagel , N. Ito

Interactions between pedestrians, bikers, and human-driven vehicles have been a major concern in traffic safety over the years. The upcoming age of autonomous vehicles will further raise major problems on whether self-driving cars can…

Computer Science and Game Theory · Computer Science 2018-06-26 Umberto Michieli , Leonardo Badia

Optimal transportation distances are valuable for comparing and analyzing probability distributions, but larger-scale computational techniques for the theoretically favorable quadratic case are limited to smooth domains or regularized…

Other Computer Science · Computer Science 2016-03-23 Justin Solomon , Raif Rustamov , Leonidas Guibas , Adrian Butscher

We propose a model for the intersection of two urban streets. The traffic status of the crossroads is controlled by a set of traffic lights which periodically switch to red and green with a total period of T. Two different types of…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Masoud Nematollahi

A macroscopic model-based approach for estimation of the traffic state, specifically of the (total) density and flow of vehicles, is developed for the case of "mixed" traffic, i.e., traffic comprising both ordinary and connected vehicles.…

Optimization and Control · Mathematics 2015-04-28 Nikolaos Bekiaris-Liberis , Claudio Roncoli , Markos Papageorgiou

We give a rigorous solution of an optimisation problem of minimizing the expected delay caused by encountering a red traffic light on a road journey. The problem incorporates simple constraints on maximum speed, acceleration and braking…

Optimization and Control · Mathematics 2025-12-03 Márton Balázs , Edward Crane , Alexander Tallis

The emergence of autonomous vehicles is expected to revolutionize road transportation in the near future. Although large-scale numerical simulations and small-scale experiments have shown promising results, a comprehensive theoretical…

Optimization and Control · Mathematics 2020-08-07 Yang Zheng , Jiawei Wang , Keqiang Li

In this paper a cellular automata model for one-lane traffic flow is presented. A new set of rules is proposed to better capture driver reactions to traffic that are intended to preserve safety on the highway. As a result, drivers behavior…

Statistical Mechanics · Physics 2009-09-29 M. E. Larraga , L. Alvarez-Icaza

We propose a model for the intersection of two urban streets. The traffic status of the crossroads is controlled by a set of traffic lights which periodically switch to red and green with a total period of T. Two different types of…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Masoud Nematollahi , Farzad Zolfaghari

Due to the complexity of the traffic flow dynamics in urban road networks, most quantitative descriptions of city traffic so far are based on computer simulations. This contribution pursues a macroscopic (fluid-dynamic) simulation approach,…

Fluid Dynamics · Physics 2015-03-18 Amin Mazloumian , Nikolas Geroliminis , Dirk Helbing