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We develop a probabilistic framework for global modeling of the traffic over a computer network. This model integrates existing single-link (-flow) traffic models with the routing over the network to capture the global traffic behavior. It…

Networking and Internet Architecture · Computer Science 2010-05-25 Stilian A. Stoev , George Michailidis , Joel Vaughan

The fundamental relationship of traffic flow is empirically estimated by fitting a regression curve to a cloud of observations of traffic variables. Such estimates, however, may suffer from the confounding/endogeneity bias due to omitted…

Econometrics · Economics 2021-04-07 Anupriya , Daniel J. Graham , Daniel Hörcher , Prateek Bansal

Traffic prediction is a crucial topic because of its broad scope of applications in the transportation domain. Recently, various studies have achieved promising results. However, most studies assume the prediction locations have complete or…

Machine Learning · Computer Science 2024-02-07 Hao Mei , Junxian Li , Zhiming Liang , Guanjie Zheng , Bin Shi , Hua Wei

This paper proposes the TrafficFlowGAN, a physics-informed flow based generative adversarial network (GAN), for uncertainty quantification (UQ) of dynamical systems. TrafficFlowGAN adopts a normalizing flow model as the generator to…

Machine Learning · Computer Science 2022-10-18 Zhaobin Mo , Yongjie Fu , Daran Xu , Xuan Di

In this work we present a two-dimensional kinetic traffic model which takes into account speed changes both when vehicles interact along the road lanes and when they change lane. Assuming that lane changes are less frequent than…

Numerical Analysis · Mathematics 2018-10-18 Michael Herty , Andrea Tosin , Giuseppe Visconti , Mattia Zanella

Traffic congestion is a complex, nonlinear spatiotemporal modeling problem. By collecting and analyzing a vast quantity and different categories of information, traffic flow, and road congestion can be predicted and controlled on an…

Computers and Society · Computer Science 2019-10-02 Karisma Trinanda Putra , Jing-Doo Wang , Eko Prasetyo , Prayitno

Cellular traffic prediction is of great importance for operators to manage network resources and make decisions. Traffic is highly dynamic and influenced by many exogenous factors, which would lead to the degradation of traffic prediction…

Machine Learning · Computer Science 2025-06-23 Hui Ma , Kai Yang , Man-On Pun

While bringing convenience to people, the growing number of vehicles on road already cause inevitable traffic congestion. Some traffic congestion happen with observable reasons, but others occur without apparent reasons or bottlenecks,…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Jiancheng Fang , Yu Xiang , Yu Huang , Yilong Cui , Wenyong Wang

We propose three models for the traffic of vehicles within a network formed by sites (cities, car-rental agencies, parking lots, etc.) and connected by two-way arteries (roads, highways), that allow forecasting the vehicular flux in a…

Physics and Society · Physics 2017-10-25 Dino Otero , Diógenes Galetti , Salomon S. Mizrahi

We present methodology for estimating the stochastic intensity of a doubly stochastic Poisson process. Statistical and theoretical analyses of traffic traces show that these processes are appropriate models of high intensity traffic…

Machine Learning · Statistics 2020-07-24 Ruixin Wang , Prateek Jaiwal , Harsha Honnappa

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

We consider the problems of tracking an ensemble of indistinguishable agents with linear dynamics based only on output measurements. In this setting, the dynamics of the agents can be modeled by distribution flows in the state space and the…

Systems and Control · Computer Science 2018-03-07 Yongxin Chen , Johan Karlsson

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

Traffic models based on cellular automata have high computational efficiency because of their simplicity in describing unrealistic vehicular behavior and the versatility of cellular automata to be implemented on parallel processing. On the…

Multiagent Systems · Computer Science 2013-02-05 Emanuele Rodaro , Öznur Yeldan

This paper demonstrates accurate traffic modeling and forecast using stochastic cell-automata (CA) and distributed fiber-optic sensing (DFOS). Traffic congestion is a dominant issue in highways. To reduce congestion, real-time traffic…

Cellular Automata and Lattice Gases · Physics 2025-11-24 Yoshiyuki Yajima , Takahiro Kumura

The superior performance of ensemble methods with infinite models are well known. Most of these methods are based on optimization problems in infinite-dimensional spaces with some regularization, for instance, boosting methods and convex…

Machine Learning · Statistics 2017-12-18 Atsushi Nitanda , Taiji Suzuki

We present simulations of congested traffic in circular and open systems with a non-local, gas-kinetic-based traffic model and a novel car-following model. The model parameters are all intuitive and can be easily calibrated. Micro- and…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Ansgar Hennecke , Vladimir Shvetsov , Martin Treiber

In this contribution, we introduce a general class of car-following models with an input-state-output port-Hamiltonian structure. We derive stability conditions and long-term behavior of the finite system with periodic boundaries and…

Dynamical Systems · Mathematics 2025-02-04 Julia Ackermann , Matthias Ehrhardt , Thomas Kruse , Antoine Tordeux

Despite measures to reduce congestion, occurrences of both recurrent and non-recurrent congestion cause large delays in road networks with important economic implications. Educated use of Intelligent Transportation Systems (ITS) can…

Optimization and Control · Mathematics 2021-11-23 Nikki Levering , Marko Boon , Michel Mandjes , Rudesindo Núñez-Queija

Accurate traffic flow prediction heavily relies on the spatio-temporal correlation of traffic flow data. Most current studies separately capture correlations in spatial and temporal dimensions, making it difficult to capture complex…

Machine Learning · Computer Science 2025-01-03 Ben-Ao Dai , Nengchao Lyu , Yongchao Miao
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