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In this paper we present a numerical study on control and observation of traffic flow using Lagrangian measurements and actuators. We investigate the effect of some basic control and observation schemes using probe and actuated vehicles…

Optimization and Control · Mathematics 2020-10-07 Mladen Cicic , Matthieu Barreau , Karl Henrik Johansson

This report explores the use of machine learning techniques to accurately predict travel times in city streets and highways using floating car data (location information of user vehicles on a road network). The aim of this report is…

Machine Learning · Computer Science 2010-12-21 Raffi Sevlian , Ram Rajagopal

A recent development in machine learning - physics-informed deep learning (PIDL) - presents unique advantages in transportation applications such as traffic state estimation. Consolidating the benefits of deep learning (DL) and the…

Machine Learning · Computer Science 2023-02-27 Archie J. Huang , Shaurya Agarwal

Analysis and prediction of network traffic has applications in wide comprehensive set of areas and has newly attracted significant number of studies. Different kinds of experiments are conducted and summarized to identify various problems…

Networking and Internet Architecture · Computer Science 2015-07-28 Manish Joshi , Theyazn Hassn Hadi

Traffic flow is a very prominent example of a driven non-equilibrium system. A characteristic phenomenon of traffic dynamics is the spontaneous and abrupt drop of the average velocity on a stretch of road leading to congestion. Such a…

Physics and Society · Physics 2012-10-29 Florian Knorr , Michael Schreckenberg

To study gap acceptance behaviour one needs the distribution (or probability density function) of gaps in the opposing stream. Further, in these times of widespread availability of large computing powers, traffic simulation has emerged as a…

Applications · Statistics 2025-12-10 Ankita Sharma , Partha Chakroborty , Pranamesh Chakraborty

Traffic prediction is pivotal for rational transportation supply scheduling and allocation. Existing researches into short-term traffic prediction, however, face challenges in adequately addressing exceptional circumstances and integrating…

Computation and Language · Computer Science 2024-05-14 Xiannan Huang

We investigate a microscopical structure in a chain of cars waiting at a red signal on signal-controlled crossroads. Presented is an one-dimensional space-continuous thermodynamical model leading to an excellent agreement with the data…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Milan Krbalek

We introduce a stochastic traffic flow model to describe random traffic accidents on a single road. The model is a piecewise deterministic process incorporating traffic accidents and is based on a scalar conservation law with…

Probability · Mathematics 2019-12-13 Simone Göttlich , Stephan Knapp

With the emergence of autonomous vehicles, it is important to understand their impact on the transportation system. However, conventional traffic simulations are time-consuming. In this paper, we introduce an analytical traffic model for…

Multiagent Systems · Computer Science 2018-09-10 Changliu Liu , Mykel J. Kochenderfer

This paper will contribute to a practical problem, Urban Traffic. We will investigate those features, try to simplify the complexity and formulize this dynamic system. These contents mainly contain how to analyze a decision problem with…

Data Structures and Algorithms · Computer Science 2015-09-17 Yong Tan

Despite the success of classical traffic flow (e.g., second-order macroscopic) models and data-driven (e.g., Machine Learning - ML) approaches in traffic state estimation, those approaches either require great efforts for parameter…

Machine Learning · Statistics 2022-03-22 Yun Yuan , Zhao Zhang , Xianfeng Terry Yang

The ability to model and predict ego-vehicle's surrounding traffic is crucial for autonomous pilots and intelligent driver-assistance systems. Acceleration prediction is important as one of the major components of traffic prediction. This…

Machine Learning · Computer Science 2020-05-11 Jianyu Su , Peter A. Beling , Rui Guo , Kyungtae Han

We present a fluid-dynamic model for the simulation of urban traffic networks with road sections of different lengths and capacities. The model allows one to efficiently simulate the transitions between free and congested traffic, taking…

Popular Physics · Physics 2007-05-23 Dirk Helbing , Stefan Lämmer , Jean-Patrick Lebacque

For traffic prediction in transportation services such as car-sharing and ride-hailing, mid-term road traffic prediction (within a few hours) is considered essential. However, the existing road-level traffic prediction has mainly studied…

Artificial Intelligence · Computer Science 2024-08-26 Sumin Han , Jisun An , Dongman Lee

The complex dynamics of physical systems can often be modeled with stochastic differential equations. However, computational constraints inhibit the estimation of dynamics from large time-series datasets. I present a method for estimating…

Data Analysis, Statistics and Probability · Physics 2023-11-02 William Davis

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

Recent works on the application of Physics-Informed Neural Networks to traffic density estimation have shown to be promising for future developments due to their robustness to model errors and noisy data. In this paper, we introduce a…

Machine Learning · Computer Science 2025-04-07 Dennis Wilkman , Kateryna Morozovska , Karl Henrik Johansson , Matthieu Barreau

We discuss several ways of illustrating fundamental concepts in statistical and thermal physics by considering various models and algorithms. We emphasize the importance of replacing students' incomplete mental images by models that are…

Physics Education · Physics 2009-11-13 Jan Tobochnik , Harvey Gould

The state reconstruction problem of a heterogeneous dynamic system under sporadic measurements is considered. This system consists of a conversation flow together with a multi-agent network modeling particles within the flow. We propose a…

Optimization and Control · Mathematics 2021-04-28 M. Barreau , J. Liu , K. H. Johansson