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With the widely used method of correlation matrix analysis, this study reveals the change of traffic states on parallel motorways in North Rhine-Westphalia, Germany. In terms of the time series of traffic flow and velocity, we carry out a…

Physics and Society · Physics 2022-05-18 Sebastian Gartzke , Shanshan Wang , Thomas Guhr , Michael Schreckenberg

Human mobility, a pivotal aspect of urban dynamics, displays a profound and multifaceted relationship with urban sustainability. Despite considerable efforts analyzing mobility patterns over decades, the ranking dynamics of urban mobility…

Physics and Society · Physics 2025-03-12 Hao Wang

Finite mixture of skew distributions have emerged as an effective tool in modelling heterogeneous data with asymmetric features. With various proposals appearing rapidly in the recent years, which are similar but not identical, the…

Methodology · Statistics 2013-05-29 Sharon X. Lee , Geoffrey J. McLachlan

Urban rail transit provides significant comprehensive benefits such as large traffic volume and high speed, serving as one of the most important components of urban traffic construction management and congestion solution. Using real…

Machine Learning · Computer Science 2023-05-05 Yiming Hu , Yangchuan Huang , Shuying Liu , Yuanyang Qi , Danhui Bai

Understanding network flows such as commuter traffic in large transportation networks is an ongoing challenge due to the complex nature of the transportation infrastructure and of human mobility. Here we show a first-principles based method…

Physics and Society · Physics 2014-10-21 Yihui Ren , Mária Ercsey-Ravasz , Pu Wang , Marta C. González , Zoltán Toroczkai

In transportation systems (e.g. highways, railways, airports), traffic flows with distinct origin-destination pairs usually share common facilities and interact extensively. Such interaction is typically stochastic due to natural…

Optimization and Control · Mathematics 2019-08-06 Li Jin , Yining Wen

Cities increasingly rely on vehicle trajectory data to monitor traffic conditions; however, such data offer only a partial and spatially heterogeneous view of network dynamics and exhibit systematic biases across corridors and time periods.…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Antonina Kosikova , Mehmet Kerem Turkcan , Ahmed Darrat , Andrew Smyth

We analyze extremes of traffic flow profiles composed of traffic counts over a day. The data is essentially curves and determining which trajectory should be classified as extreme is not straight forward. To assess the extremes of the…

Applications · Statistics 2020-09-07 Maria Osipenko

The coordinated and efficient distribution of limited resources by individual decisions is a fundamental, unsolved problem. When individuals compete for road capacities, time, space, money, goods, etc., they normally make decisions based on…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Martin Schoenhof , Daniel Kern

This paper presents a mesoscopic traffic flow model that explicitly describes the spatio-temporal evolution of the probability distributions of vehicle trajectories. The dynamics are represented by a sequence of factor graphs, which enable…

Machine Learning · Statistics 2019-09-25 Saif Eddin Jabari , Deepthi Mary Dilip , DianChao Lin , Bilal Thonnam Thodi

This paper studies the heavy-traffic asymptotics for the multiclass FIFO M${}^X$/G/1 queue. We first derive the probability generating function of the joint queue length distribution. Using the probability generating function, we then…

Probability · Mathematics 2014-04-25 Hiroshi Miyawaki , Hiroyuki Masuyama , Yutaka Takahashi

Urban traffic simulation is vital in planning, modeling, and analyzing road networks. However, the realism of a simulation depends extensively on the quality of input data. This paper presents an intersection traffic simulation tool that…

Computers and Society · Computer Science 2025-08-15 Harshit Maheshwari , Li Yang , Richard W Pazzi

This work proposes the use of Information Theory for the characterization of vehicles behavior through their velocities. Three public data sets were used: i.Mobile Century data set collected on Highway I-880, near Union City, California;…

Information Theory · Computer Science 2015-10-15 Andre L. L. Aquino , Tamer S. G. Cavalcante , Eliana S. Almeida , Alejandro C. Frery , Osvaldo A. Rosso

Traffic on a circular road is described by dynamic programming equations associated to optimal control problems. By solving the equations analytically, we derive the relation between the average car density and the average car flow, known…

Optimization and Control · Mathematics 2010-02-11 Nadir Farhi

The estimation of asset return distributions is crucial for determining optimal trading strategies. In this paper we describe the constrained mixture model, based on a mixture of Gamma and Gaussian distributions, to provide an accurate…

Machine Learning · Statistics 2011-03-15 Iead Rezek

Intersections are one of the main sources of congestion and hence, it is important to understand traffic behavior at intersections. Particularly, in developing countries with high vehicle density, mixed traffic type, and lane-less driving…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Debaditya Roy , K. Naveen Kumar , C. Krishna Mohan

Advancement of mobile technologies has enabled economical collection, storage, processing, and sharing of traffic data. These data are made accessible to intended users through various application program interfaces (API) and can be used to…

Physics and Society · Physics 2022-05-04 Sumit Mishra , Vishal Singh , Ankit Gupta , Devanjan Bhattacharya , Abhisek Mudgal

We propose a model to implement and simulate different traffic-flow conditions in terms of quantum graphs hosting an ($N$+1)-level dot at each site, which allows us to keep track of the type and of the destination of each vehicle. By…

Statistical Mechanics · Physics 2022-04-20 Andrea Nava , Domenico Giuliano , Alessandro Papa , Marco Rossi

This work introduces an integrated approach to optimizing urban traffic by combining predictive modeling of vehicle flow, adaptive traffic signal control, and a modular integration architecture through distributed messaging. Using real-time…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Ismail Zrigui , Samira Khoulji , Mohamed Larbi Kerkeb

Vehicle-to-vehicle communications can change the driving behavior of drivers significantly by providing them rich information on downstream traffic flow conditions. This study seeks to model the varying car-following behaviors involving…

Systems and Control · Computer Science 2018-09-18 Lin Liu , Chunyuan Li , Yongfu Li , Srinivas Peeta , Lei Lin
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