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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

We study ergodic properties of a family of traffic maps acting in the space of bi-infinite sequences of real numbers. The corresponding dynamics mimics the motion of vehicles in a simple traffic flow, which explains the name. Using…

Dynamical Systems · Mathematics 2015-06-11 Michael Blank

In this second part of our research we used the models presented in \emph{Modeling a vehicular traffic network. Part I} \cite{ogm1} to perform an analysis of the urban traffic as recorded by cameras distributed in a chosen sector of Tigre,…

Physics and Society · Physics 2018-08-01 Ariel Amadio , Facundo Nicuesa , D. Otero , D. Galetti , S. S. Mizrahi

Lagrangian formulation of kinematic wave provides a more accurate representation than the most commonly used Eulerian formulation. Furthermore, Lagrangian representation offers a flexibility to study certain traffic phenomena (e.g. capacity…

Optimization and Control · Mathematics 2018-04-26 Sosina Gashaw , Jérôme Härri , Paola Goatin

Autonomous vehicles are expected to navigate in complex traffic scenarios with multiple surrounding vehicles. The correlations between road users vary over time, the degree of which, in theory, could be infinitely large, thus posing a great…

Robotics · Computer Science 2019-10-24 Yaohui Guo , Vinay Varma Kalidindi , Mansur Arief , Wenshuo Wang , Jiacheng Zhu , Huei Peng , Ding Zhao

We present a new strategy for filtering high-dimensional multiscale systems characterized by high-order non-Gaussian statistics using observations from leading-order moments. A closed stochastic-statistical modeling framework suitable for…

Mathematical Physics · Physics 2024-07-09 Di Qi , Jian-Guo Liu

The continuous expansion of the urban traffic sensing infrastructure has led to a surge in the volume of widely available road related data. Consequently, increasing effort is being dedicated to the creation of intelligent transportation…

Neural and Evolutionary Computing · Computer Science 2020-02-17 Alina Patelli , Victoria Lush , Aniko Ekart , Elisabeth Ilie-Zudor

Modeling and simulating movement of vehicles in established transportation infrastructures, especially in large urban road networks is an important task. It helps with understanding and handling traffic problems, optimizing traffic…

Systems and Control · Electrical Eng. & Systems 2021-06-09 Renátó Besenczi , Norbert Bátfai , Péter Jeszenszky , Roland Major , Fanny Monori , Márton Ispány

In this work, we propose an alternative stochastic model for the fundamental diagram of traffic flow with minimal number of parameters. Our approach is based on a mesoscopic viewpoint of the traffic system in terms of the dynamics of…

Physics and Society · Physics 2016-02-23 Adriano Francisco Siqueira , Carlos Jose Todero Peixoto , Chen Wu , Wei-Liang Qian

Noise-assisted transport phenomena highlight the nontrivial interplay between environmental effects and quantum coherence in achieving maximal efficiency. Due to the complexity of biochemical systems and their environments, effective open…

Coordination of dynamical routes can alleviate traffic congestion and is essential for the coming era of autonomous self-driving cars. However, dynamical route coordination is difficult and many existing routing protocols are either static…

Statistical Mechanics · Physics 2019-04-24 Chi Ho Yeung

Many-particle simulations of vehicle interactions have been quite successful in the qualitative reproduction of observed traffic patterns. However, the assumed interactions could not be measured, as human interactions are hard to quantify…

Statistical Mechanics · Physics 2009-11-10 Milan Krbalek , Dirk Helbing

We develop a stochastic model for Lagrangian velocity as it is observed in experimental and numerical fully developed turbulent flows. We define it as the unique statistically stationary solution of a causal dynamics, given by a stochastic…

Lagrangian stochastic models are widely used to predict and analyze turbulent dispersion in complex environments, such as in various terrestrial and marine canopy flows. However, due to a lack of empirical data, it is still not understood…

Fluid Dynamics · Physics 2020-09-09 Ron Shnapp , Yardena Bohbot-Raviv , Alex Liberzon , Eyal Fattal

Traffic flow oscillations, including traffic waves, are a common yet incompletely understood feature of congested traffic. Possible mechanisms include traffic flow instabilities, indifference regions or finite human perception thresholds…

Physics and Society · Physics 2017-08-24 Martin Treiber , Arne Kesting

Besides the traditional data collection by stationary detectors, recent advances in wireless and sensor technologies have promoted new potentials for a vehicle-based data collection and local dissemination of information. By means of…

Other Computer Science · Computer Science 2010-12-22 Arne Kesting , Martin Treiber

The amount of data that is being gathered about cities is increasing in size and specificity. However, despite this wealth of information, we still have little understanding of what really drives the processes behind urbanisation. In this…

Physics and Society · Physics 2015-11-30 Rémi Louf

Accurately modeling traffic speeds is a fundamental part of efficient intelligent transportation systems. Nowadays, with the widespread deployment of GPS-enabled devices, it has become possible to crowdsource the collection of speed…

Machine Learning · Statistics 2018-12-21 Filipe Rodrigues , Francisco C. Pereira

This work introduces a scalable filtering algorithm for multi-agent traffic estimation. Large-scale networks are spatially partitioned into overlapping road sections. The traffic dynamics of each section is given by the switching mode model…

Systems and Control · Computer Science 2017-01-20 Ye Sun , Daniel B. Work

We develop a probabilistic characterisation of trajectorial expansion rates in non-autonomous stochastic dynamical systems that can be defined over a finite time interval and used for the subsequent uncertainty quantification in Lagrangian…

Dynamical Systems · Mathematics 2021-12-24 Michal Branicki , Kenneth Uda
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