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Related papers: Highway traffic data: macroscopic, microscopic and…

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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

Modeling traffic dynamics is a critical challenge for urban computing, with applications from real-time traffic management to infrastructure planning. However, progress in this area is fundamentally constrained by a lack of large-scale…

Machine Learning · Computer Science 2026-05-18 Fedor Velikonivtsev , Oleg Platonov , Ekaterina Alimaskina , Gleb Bazhenov , Liudmila Prokhorenkova

Traffic safety at intersections is studied quantitatively using methods from Statistical Mechanics on the basis of simple microscopic traffic flow models. In order to determine a relationship between traffic flow and the number of crashes,…

Statistical Mechanics · Physics 2023-11-17 Andreas Leich , Ronald Nippold , Andreas Schadschneider , Peter Wagner

The scientific field of traffic engineering encompasses a rich set of mathematical techniques, as well as researchers with entirely different backgrounds. This paper provides an overview of what is currently the state-of-the-art with…

Physics and Society · Physics 2007-05-23 Sven Maerivoet , Bart De Moor

The large-scale deployment of automated vehicles on public roads has the potential to vastly change the transportation modalities of today's society. Although this pursuit has been initiated decades ago, there still exist open challenges in…

At an unmanaged intersection, it is important to understand how much traffic delay may be caused as a result of microscopic vehicle interactions. Conventional traffic simulations that explicitly track these interactions are time-consuming.…

Multiagent Systems · Computer Science 2018-06-08 Changliu Liu , Mykel J. Kochenderfer

Hypotheses and some results of the three-phase traffic theory by the author are compared with results of the fundamental diagram approach to traffic flow theory. A critical discussion of model results about congested pattern features which…

Statistical Mechanics · Physics 2007-05-23 Boris S. Kerner

We analyze traffic data from a highway section containing one effective on-ramp. Based on two criteria, local velocity variation patterns and expansion (or nonexpansion) of congested regions, three distinct congested traffic states are…

Condensed Matter · Physics 2009-10-31 H. Y. Lee , H. -W. Lee , D. Kim

We present an approach to estimate the severity of traffic related accidents in aggregated (area-level) and disaggregated (point level) data. Exploring spatial features, we measure complexity of road networks using several area level…

Machine Learning · Computer Science 2019-06-26 Devashish Khulbe , Soumya Sourav

The goal of the paper is a rigorous derivation of a macroscopic traffic flow model with a bifurcation or a local perturbation from a microscopic one. The microscopic model is a simple follow-the-leader with random parameters. The random…

Analysis of PDEs · Mathematics 2021-11-16 P Cardaliaguet , N Forcadel

The paper analyzes traffic data of the Dutch freeway A9 with respect to certain aspects which are relevant for traffic flow modeling as well as the calibration of model parameters and functions. Apart from the dynamic velocity distribution,…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

The fundamental relationship of traffic flow is empirically estimated by fitting a regression curve to a cloud of observations of traffic variables. Such estimates, however, may suffer from the confounding/endogeneity bias due to omitted…

Econometrics · Economics 2021-04-07 Anupriya , Daniel J. Graham , Daniel Hörcher , Prateek Bansal

Autonomous driving is a major paradigm shift in transportation, with the potential to enhance safety, optimize traffic congestion, and reduce fuel consumption. Although autonomous vehicles rely on advanced sensors and on-board computing…

Networking and Internet Architecture · Computer Science 2025-04-22 Marcello Bullo , Amir Ashtari Gargari , Paolo Testolina , Michele Zorzi , Marco Giordani

In transportation network analysis, various types of road network data can be used even when focusing on the same region. Since different road network datasets can make different performance in analyses, it is necessary to compare them and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-21 Hengyi Zhong , Toru Seo

We study the microscopic time fluctuations of traffic-load and the global statistical properties of a dense traffic of particles on scale-free cyclic graphs. For a wide range of driving rates $R$ the traffic is stationary and the load…

Statistical Mechanics · Physics 2009-11-10 Bosiljka Tadic , Stefan Thurner , G. J. Rodgers

In this paper we propose a multiscale traffic model, based on the family of Generic Second Order Models, which integrates multiple trajectory data into the velocity function. This combination of a second order macroscopic model with…

Numerical Analysis · Mathematics 2022-07-29 Caterina Balzotti , Maya Briani

A new vehicular traffic flow model based on a stochastic jump process in vehicle acceleration and braking is introduced. It is based on a master equation for the single car probability density in space, velocity and acceleration with an…

Other Condensed Matter · Physics 2009-11-10 K. Thomas Waldeer

As autonomous vehicle technology advances, the precise assessment of safety in complex traffic scenarios becomes crucial, especially in mixed-vehicle environments where human perception of safety must be taken into account. This paper…

Robotics · Computer Science 2025-03-28 Enrico Del Re , Amirhesam Aghanouri , Cristina Olaverri-Monreal

Understanding and predicting the duration or "return-to-normal" time of traffic incidents is important for system-level management and optimisation of road transportation networks. Increasing real-time availability of multiple data sources…

Applications · Statistics 2021-02-18 Kieran Kalair , Colm Connaughton

A major challenge in the safety assessment of automated vehicles is to ensure that risk for all traffic participants is as low as possible. A concept that is becoming increasingly popular for testing in automated driving is scenario-based…

Robotics · Computer Science 2022-11-28 Maximilian Zipfl , Barbara Schütt , J. Marius Zöllner , Eric Sax