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The fundamental diagram (FD), also known as the flow--density relation, is one of the most fundamental concepts in the traffic flow theory. It describes the relation between equilibrated flow, density, and speed in traffic flow.…

Fluid Dynamics · Physics 2019-02-12 Toru Seo , Yutaka Kawasaki , Takahiko Kusakabe , Yasuo Asakura

We study the relation between the average traffic flow and the vehicle density on road networks that we call 2D-traffic fundamental diagram. We show that this diagram presents mainly four phases. We analyze different cases. First, the case…

Optimization and Control · Mathematics 2013-02-06 Nadir Farhi , Maurice Goursat , Jean-Pierre Quadrat

Despite the importance of urban traffic flows, there are only a few theoretical approaches to determine fundamental relationships between macroscopic traffic variables such as the traffic density, the utilization, the average velocity, and…

Physics and Society · Physics 2009-11-13 Dirk Helbing

A simple algorithm for constructing an effective traffic model is presented. The algorithm uses statistically well-defined quantities extracted from the flow-density plot, and the resulting effective model naturally captures and predicts…

Adaptation and Self-Organizing Systems · Physics 2014-12-16 Bo Yang , Christopher Monterola

Traffic congestion is becoming a challenge in the rapidly growing urban cities, resulting in increasing delays and inefficiencies within urban transportation systems. To address this issue a comprehensive methodology is designed to optimize…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 H Mhatre , M Vyas , A Mittal

Road network graphs provide critical information for autonomous-vehicle applications, such as drivable areas that can be used for motion planning algorithms. To find road network graphs, manually annotation is usually inefficient and…

Computer Vision and Pattern Recognition · Computer Science 2022-08-10 Zhenhua Xu , Yuxuan Liu , Lu Gan , Yuxiang Sun , Xinyu Wu , Ming Liu , Lujia Wang

Urban Air Mobility (UAM) is an emerging application of unmanned aerial vehicles that promises to reduce travel time and alleviate congestion in urban transportation systems. As drone density increases, UAM traffic is expected to experience…

Robotics · Computer Science 2026-03-03 Hang Zhou , Yuhui Zhai , Shiyu Shen , Yanfeng Ouyang , Xiaowei Shi , Xiaopeng Li

Automatic road graph extraction from aerial and satellite images is a long-standing challenge. Existing algorithms are either based on pixel-level segmentation followed by vectorization, or on iterative graph construction using next move…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Gaetan Bahl , Mehdi Bahri , Florent Lafarge

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

Manual traffic surveillance can be a daunting task as Traffic Management Centers operate a myriad of cameras installed over a network. Injecting some level of automation could help lighten the workload of human operators performing manual…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Vishal Mandal , Abdul Rashid Mussah , Peng Jin , Yaw Adu-Gyamfi

Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet…

Numerical Analysis · Mathematics 2016-03-01 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

Urban congestions cause inefficient movement of vehicles and exacerbate greenhouse gas emissions and urban air pollution. Macroscopic emission fundamental diagram (eMFD)captures an orderly relationship among emission and aggregated traffic…

Over the past few years, researchers have presented many different applications for convolutional neural networks, including those for the detection and recognition of objects from images. The desire to understand our own nature has always…

Computer Vision and Pattern Recognition · Computer Science 2019-11-06 Gergely Csönde , Yoshihide Sekimoto , Takehiro Kashiyama

Despite the availability of large empirical data sets and the long history of traffic modeling, the theory of traffic congestion on freeways is still highly controversial. In this contribution, we compare Kerner's three-phase traffic theory…

Physics and Society · Physics 2011-08-25 Martin Treiber , Arne Kesting , Dirk Helbing

In this paper we investigate the ability of some recently introduced discrete kinetic models of vehicular traffic to catch, in their large time behavior, typical features of theoretical fundamental diagrams. Specifically, we address the…

Mathematical Physics · Physics 2014-03-25 Luisa Fermo , Andrea Tosin

Efficient and current roadway geometry data collection is critical to transportation agencies in road planning, maintenance, design, and rehabilitation. Data collection methods are divided into land-based and aerial-based. Land-based…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Richard Boadu Antwi , Samuel Takyi , Kimollo Michael , Alican Karaer , Eren Erman Ozguven , Ren Moses , Maxim A. Dulebenets , Thobias Sando

Fundamental diagrams describe the relationship between speed, flow, and density for some roadway (or set of roadway) configuration(s). These diagrams typically do not reflect, however, information on how speed-flow relationships change as a…

Machine Learning · Computer Science 2022-08-02 James Koch , Thomas Maxner , Vinay Amatya , Andisheh Ranjbari , Chase Dowling

The fast-growing amount of traffic data brings many opportunities for revealing more insightful information about traffic dynamics. However, it also demands an effective database management system in which information retrieval is arguably…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Tin T. Nguyen , Simeon C. Calvert , Guopeng Li , Hans van Lint

Obstacle avoidance is a key feature for safe Unmanned Aerial Vehicle (UAV) navigation. While solutions have been proposed for static obstacle avoidance, systems enabling avoidance of dynamic objects, such as drones, are hard to implement…

Robotics · Computer Science 2018-08-02 Adrian Carrio , Sai Vemprala , Andres Ripoll , Srikanth Saripalli , Pascual Campoy

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
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