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Reaction delays are important in determining the qualitative dynamical properties of a platoon of vehicles traveling on a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Modified Optimal…

Systems and Control · Computer Science 2019-01-28 Gopal Krishna Kamath , Krishna Jagannathan , Gaurav Raina

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

In this paper, we proposed a stochastic model which describes two species of particles moving in counterflow. The model generalizes the theoretical framework describing the transport in random systems since particles can work as mobile…

Soft Condensed Matter · Physics 2017-08-09 Eduardo Velasco Stock , Roberto da Silva , Henrique Almeida Fernandes

We make a methodological contribution by introducing a new dimension of traffic conflict severity: the probability that a driver is in a defensive state. This behavioural probability reflects an internal response to perceived risk and is…

Physics and Society · Physics 2025-06-27 Rulla Al-Haideri , Karim Ismail , Bilal Farooq , Adam Weiss

Vehicular traffic is a classical example of a multi-agent system in which autonomous drivers operate in a shared environment. The article provides an overview of the state-of-the-art in microscopic traffic modeling and the implications for…

Physics and Society · Physics 2009-10-26 Arne Kesting , Martin Treiber , Dirk Helbing

We study an one-dimensional stochastic model of vehicular traffic on open segments of a single-lane road of finite size $L$. The vehicles obey a stochastic discrete-time dynamics which is a limiting case of the generalized Totally…

Statistical Mechanics · Physics 2018-01-17 J. G. Brankov , N. Zh. Bunzarova , N. C. Pesheva , V. B. Priezzhev

Car-hailing services have become a prominent data source for urban traffic studies. Extracting useful information from car-hailing trace data is essential for effective traffic management, while discrepancies between car-hailing vehicles…

Applications · Statistics 2024-12-24 Jiannan Mao , Lan Liu , Hao Huang , Weike Lu , Kaiyu Yang , Tianli Tang , Haotian Shi

A speed threshold is a crucial parameter in breakdown and capacity distribution analysis as it defines the boundary between free-flow and congested regimes. However, literature on approaches to establishing the breakpoint value for…

Applications · Statistics 2020-09-02 Emmanuel Kidando , Angela E. Kitali , Boniphace Kutela , Thobias Sando

A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel-Schreckenberg CA model. The flow-density relation of this…

Statistical Mechanics · Physics 2009-11-10 Katsuhiro Nishinari , Minoru Fuku , Andreas Schadschneider

Realistic modeling of vehicular mobility has been particularly challenging due to a lack of large libraries of measurements in the research community. In this paper we introduce a novel method for large-scale monitoring, analysis, and…

Networking and Internet Architecture · Computer Science 2011-05-26 Gautam S. Thakur , Pan Hui , Hamed Ketabdar , Ahmed Helmy

Climate change mitigation in urban mobility requires policies reconfiguring urban form to increase accessibility and facilitate low-carbon modes of transport. However, current policy research has insufficiently assessed urban form effects…

Urban mobility in developing countries, particularly in cities like Cali, Colombia, faces multifaceted challenges influenced by socioeconomic factors and the distinct characteristics of transport users Despite motorcycles emerging as a…

Physics and Society · Physics 2024-02-14 Kathleen Salazar-Serna , Jesus D. Diaz , Isabel C. Garcia

We extend the Aw-Rascle macroscopic model of car traffic into a two-way multi-lane model of pedestrian traffic. Within this model, we propose a technique for the handling of the congestion constraint, i.e. the fact that the pedestrian…

Mathematical Physics · Physics 2014-04-08 Cécile Appert-Rolland , Pierre Degond , Sébastien Motsch

The two phase model for vehicular traffic flows recently appeared in \cite{goatin2006aw} and \cite{BenyahiaRosini01} is endowed with a point constraint on the flow to allow for the modelling of phenomena such as the effects of toll booths…

Analysis of PDEs · Mathematics 2016-05-27 Massimiliano D. Rosini , Benyahia Mohamed Ramiz

We introduce and analyze two general dynamical models for unidirectional movement of particles along a circular chain and an open chain of sites. The models include a soft version of the simple exclusion principle, that is, as the density…

Quantitative Methods · Quantitative Biology 2019-03-14 Eyal Bar-Shalom , Alexander Ovseevich , Michael Margaliot

Driven many-particle systems with nonlinear interactions are known to often display multi-stability, i.e. depending on the respective initial condition, there may be different outcomes. Here, we study this phenomenon for traffic models,…

Physics and Society · Physics 2009-11-13 Dirk Helbing , Mehdi Moussaid

We study a generalized Follow-the-Leader model where the driver considers the position of an arbitrary but finite number of vehicles ahead, as well as the position of the vehicle directly behind the driver. It is proved that this model…

Analysis of PDEs · Mathematics 2024-05-08 Helge Holden , Nils Henrik Risebro

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

The urban spatial structure represents the distribution of public and private spaces in cities and how people move within them. While it usually evolves slowly, it can change fast during large-scale emergency events, as well as due to urban…

Physics and Society · Physics 2023-05-29 Yanyan Xu , Luis E. Olmos , David Mateo , Alberto Hernando , Xiaokang Yang , Marta C. Gonzalez

Urban transformations within large and growing metropolitan areas often generate critical dynamics affecting social interactions, transport connectivity and income flow distribution. We develop a statistical-mechanical model of urban…

Physics and Society · Physics 2018-06-12 Emanuele Crosato , Ramil Nigmatullin , Mikhail Prokopenko
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