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We study the duration of "high-flow states" in freeway traffic, defined as the time periods for which traffic flows exceed a given flow threshold. Our empirical data are surprisingly well represented by a power law. Moreover, the power law…

物理与社会 · 物理学 2008-07-24 Dirk Helbing , Benno Tilch

Traffic speed is a key indicator for the efficiency of an urban transportation system. Accurate modeling of the spatiotemporally varying traffic speed thus plays a crucial role in urban planning and development. This paper addresses the…

人工智能 · 计算机科学 2017-08-29 Truc Viet Le , Richard J. Oentaryo , Siyuan Liu , Hoong Chuin Lau

We investigate the speed time series of the vehicles recorded by a camera at a section of a highway in the city of Isfahan, Iran. Using $k$-means clustering algorithm, we find that the natural number of clustering for this set of data is…

物理与社会 · 物理学 2016-10-24 Reihaneh Kouhi , Farhad Shahbazi , Meisam Akbarzadeh

Reliable uncertainty quantification remains a central challenge in predictive modeling. While Bayesian methods are theoretically appealing, their predictive intervals can exhibit poor frequentist calibration, particularly with small sample…

统计方法学 · 统计学 2025-08-05 Graham Gibson

Traffic flow prediction is an important part of smart transportation. The goal is to predict future traffic conditions based on historical data recorded by sensors and the traffic network. As the city continues to build, parts of the…

机器学习 · 统计学 2022-12-27 Yanan Xiao , Minyu Liu , Zichen Zhang , Lu Jiang , Minghao Yin , Jianan Wang

Saturation overshoot and pressure overshoot are studied by incorporating dynamic capillary pressure, capillary pressure hysteresis and hysteretic dynamic coefficient with a traditional fractional flow equation in one dimension. Using the…

计算物理 · 物理学 2016-11-28 Hong Zhang , Paul Andries Zegeling

Car-following behavior modeling is critical for understanding traffic flow dynamics and developing high-fidelity microscopic simulation models. Most existing impulse-response car-following models prioritize computational efficiency and…

应用统计 · 统计学 2025-04-09 Chengyuan Zhang , Wenshuo Wang , Lijun Sun

Modeling complex systems that evolve toward equilibrium distributions is important in various physical applications, including molecular dynamics and robotic control. These systems often follow the stochastic gradient descent of an…

机器学习 · 计算机科学 2024-10-16 Christopher Iliffe Sprague , Arne Elofsson , Hossein Azizpour

The Intelligent Transportation System (ITS) targets to a coordinated traffic system by applying the advanced wireless communication technologies for road traffic scheduling. Towards an accurate road traffic control, the short-term traffic…

机器学习 · 计算机科学 2017-01-10 Xun Zhou , Changle Li , Zhe Liu , Tom H. Luan , Zhifang Miao , Lina Zhu , Lei Xiong

Traffic volume is an indispensable ingredient to provide fine-grained information for traffic management and control. However, due to limited deployment of traffic sensors, obtaining full-scale volume information is far from easy. Existing…

机器学习 · 统计学 2023-10-31 Tong Nie , Guoyang Qin , Yunpeng Wang , Jian Sun

We model information traffic on scale-free networks by introducing the node queue length L proportional to the node degree and its delivering ability C proportional to L. The simulation gives the overall capacity of the traffic system,…

数据分析、统计与概率 · 物理学 2007-05-23 Mao-Bin Hu , Wen-Xu Wang , Rui Jiang , Qing-Song Wu , Yong-Hong Wu

With rapid urbanization in recent decades, traffic congestion has intensified due to increased movement of people and goods. As planning shifts from demand-based to supply-oriented strategies, Intelligent Transportation Systems (ITS) have…

机器学习 · 计算机科学 2025-11-13 Amanta Sherfenaz , Nazmul Haque , Protiva Sadhukhan Prova , Md Asif Raihan , Md. Hadiuzzaman

Traffic flow forecasting is a crucial task in transportation management and planning. The main challenges for traffic flow forecasting are that (1) as the length of prediction time increases, the accuracy of prediction will decrease; (2)…

人工智能 · 计算机科学 2024-05-13 Jianli Xiao , Baichao Long

Nowadays, methodologies coming from studying physical systems are being applied to the description of a wide variety of complex systems. In particular, one can study thermodynamical methods to describe the overall behavior of many systems,…

物理与社会 · 物理学 2022-08-30 Leonardo Castro González , M. E. Lárraga , J. Antonio del Río

We present a new method to obtain spatio-temporal information from aggregated data of stationary traffic detectors, the ``adaptive smoothing method''. In essential, a nonlinear spatio-temporal lowpass filter is applied to the input detector…

统计力学 · 物理学 2007-05-23 Martin Treiber , Dirk Helbing

We present a phase diagram of the different kinds of congested traffic that are triggered by disturbances when passing ramps or other spatial inhomogeneities of a freeway. The simulation results obtained by the nonlocal, gas-kinetic-based…

统计力学 · 物理学 2009-10-31 Dirk Helbing , Ansgar Hennecke , Martin Treiber

We consider the problem of calibration and uncertainty analysis for activity-based transportation simulators. Activity-Based Models (ABMs) rely on statistical modeling of individual travelers' behavior to predict higher-order travel…

应用统计 · 统计学 2022-09-07 Laura Schultz , Joshua Auld , Vadim Sokolov

A microscopic theory of control of spatial-temporal congested traffic pattern at freeway bottlenecks is presented. Based on empirical spatial-temporal features of congested patterns at freeway bottlenecks which have recently been found,…

统计力学 · 物理学 2009-11-10 Boris S. Kerner

The fundamental diagram is an assumed functional relationship between traffic flow and traffic density. In practice, this relationship is noisy and exhibits significant statistical variability. On smart motorways, this variability is…

计算机与社会 · 计算机科学 2019-03-14 Kieran Kalair , Colm Connaughton

This paper demonstrates real-time short-term traffic flow prediction through distributed fiber-optic sensing (DFOS) and data assimilation with a stochastic cell-automata-based traffic model. Traffic congestion on expressways is a severe…

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