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The main motivation of this work is to assess the validity of a LWR traffic flow model to model measurements obtained from trajectory data, and propose extensions of this model to improve it. A formulation for a discrete dynamical system is…

Signal Processing · Electrical Eng. & Systems 2023-12-06 Mike Pereira , Pinar Boyraz Baykas , Balázs Kulcsár , Annika Lang

Accurate prediction of travel time is an essential feature to support Intelligent Transportation Systems (ITS). The non-linearity of traffic states, however, makes this prediction a challenging task. Here we propose to use dynamic linear…

Machine Learning · Computer Science 2020-09-03 Semin Kwak , Nikolas Geroliminis

Starting from the instability diagram of a traffic flow model, we derive conditions for the occurrence of congested traffic states, their appearance, their spreading in space and time, and the related increase in travel times. We discuss…

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

Rapid urbanization places increasing stress on already burdened transportation systems, resulting in delays and poor levels of service. Billions of spatiotemporal call detail records (CDRs) collected from mobile devices create new…

Physics and Society · Physics 2014-03-05 Jameson L. Toole , Serdar Colak , Fahad Alhasoun , Alexandre Evsukoff , Marta C. Gonzalez

Urban mobility is a multi-entity system that involves travelers, transport modes, and infrastructure. Beyond conventional origin/destination analysis, this paper investigates how process mining can structure and interpret mobility behavior…

Social and Information Networks · Computer Science 2026-02-16 Khristina Filonchik , Jose Pedro Pinto , Flávio L. Pinheiro , Fernando Bacao

This paper develops a computational framework based on a car-following model to study traffic instability and lane changes. Building upon Newell's classical first-order car-following model, we show that, both analytically and numerically,…

Optimization and Control · Mathematics 2025-01-07 Nicholas Mankowski , Hassan Mushtaq , Hanliang Guo

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

A new single lane car following model of traffic flow is presented. The model is inertial and free of collisions. It demonstrates experimentally observed features of traffic flow such as the existence of three regimes: free, fluctuative…

Disordered Systems and Neural Networks · Physics 2009-10-31 Elad Tomer , Leonid Safonov , Shlomo Havlin

We study the dynamics of vehicular traffic in a loop using a car-following model with the consideration of volume exclusions. In particular, we solve the steady state for the single-cluster case and derive fundamental diagrams, exhibiting…

Physics and Society · Physics 2012-01-05 Chi-Lun Lee , Chia-Ling huang

Characterizing and understanding lane-changing behavior in the presence of automated vehicles (AVs) is crucial to ensuring safety and efficiency in mixed traffic. Accordingly, this study aims to characterize the interactions between the…

Multiagent Systems · Computer Science 2025-12-09 Sungyong Chung , Alireza Talebpour , Samer H. Hamdar

Modeling of urban traffic flows is required due to the complexity of their successful forecasting, as well as due to the impact of various random factors on them, and the complexity of transport systems in modern cities. Forecasting of…

Physics and Society · Physics 2023-05-02 Yekimov Sergiy

Human mobility plays a crucial role in transportation, urban planning, and public health. Advances in deep learning and the availability of diverse mobility data have transformed mobility modeling. However, existing deep learning models…

Machine Learning · Computer Science 2024-11-05 Xishun Liao , Qinhua Jiang , Brian Yueshuai He , Yifan Liu , Chenchen Kuai , Jiaqi Ma

Providing efficient human mobility services and infrastructure is one of the major concerns of most mid-sized to large cities around the world. A proper understanding of the dynamics of commuting flows is, therefore, a requisite to better…

Machine Learning · Computer Science 2021-10-27 Ana Alice Peregrino , Soham Pradhan , Zhicheng Liu , Nivan Ferreira , Fabio Miranda

The theory of a jamming transition is proposed for the homogeneous car-following model within the framework of Lorenz scheme. We represent a jamming transition as a result of the spontaneous deviations of headway and velocity that is caused…

Statistical Mechanics · Physics 2009-10-31 A. I. Olemskoi , A. V. Khomenko

Most car-following models show a transition from laminar to ``congested'' flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficiently large critical amplitude to move the flow from the…

Statistical Mechanics · Physics 2007-05-23 Kai Nagel , Christopher Kayatz , Peter Wagner

This paper proposes an improved cellular automaton traffic flow model based on the brake light model, which takes into account that the desired time gap of vehicles is remarkably larger than one second. Although the hypothetical steady…

Cellular Automata and Lattice Gases · Physics 2015-03-23 Junfang Tian , Bin Jia , Shoufeng Ma , Chenqiang Zhu , Rui Jiang , YaoXian Ding

Urban morphology and socioeconomic aspects of cities have been explored by analysing urban street network. To analyse the network, several variations of the centrality indices are often used. However, its nature has not yet been widely…

Physics and Society · Physics 2021-03-23 Kaoru Yamaoka , Yusuke Kumakoshi , Yuji Yoshimura

In this study, we present a machine learning approach to infer the worker and student mobility flows on daily basis from static censuses. The rapid urbanization has made the estimation of the human mobility flows a critical task for…

Machine Learning · Computer Science 2018-06-12 Mehdi Katranji , Sami Kraiem , Laurent Moalic , Guilhem Sanmarty , Alexandre Caminada , Fouad Hadj Selem

Traffic congestion represents a complex urban phenomenon that has been the subject of extensive research employing various modeling techniques grounded in the principles of physics and molecular theory. Although factors such as road design,…

Theoretical Economics · Economics 2025-10-07 Shawn Berry

While macroscopic models for single or multi-lane traffic flow are well established, these models are not applicable to the dynamics and characteristics of disordered traffic which is characterized by widely different types of vehicles and…

Physics and Society · Physics 2023-10-27 Shrey Agrawal , Venkatesan Kanagaraj , Martin Treiber