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It is known that inhomogeneous second-order macroscopic traffic models can reproduce the phantom traffic jam phenomenon: whenever the sub-characteristic condition is violated, uniform traffic flow is unstable, and small perturbations grow…

Physics and Society · Physics 2023-08-17 Rabie A. Ramadan , Rodolfo Ruben Rosales , Benjamin Seibold

This work introduces two multi-level control strategies to address the problem of guidance and control of underwater vehicles. An outer-loop path-following algorithm and an outer-loop trajectory tracking algorithm are presented. Both…

Systems and Control · Electrical Eng. & Systems 2024-01-19 Gage MacLin , Maxwell Hammond , Venanzio Cichella , J. Ezequiel Martin

This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by…

Optimization and Control · Mathematics 2021-03-17 Liudmila Tumash , Carlos Canudas-de-Wit , Maria Laura Delle Monache

Long-term traffic flow forecasting plays a crucial role in intelligent transportation as it allows traffic managers to adjust their decisions in advance. However, the problem is challenging due to spatio-temporal correlations and complex…

Machine Learning · Computer Science 2024-08-14 Zibo Liu , Zhe Jiang , Shigang Chen

The mathematical modeling and the stability analysis of multi-lane traffic in the macroscopic scale is considered. We propose a new first order model derived from microscopic dynamics with lane changing, leading to a coupled system of…

Analysis of PDEs · Mathematics 2023-12-04 Matteo Piu , Michael Herty , Gabriella Puppo

Traditional DTA models of large cities suffer from prohibitive computation times and calibration/validation can become major challenges faced by practitioners. The empirical evidence in 2008 in support of the existence of a Macroscopic…

Analysis of PDEs · Mathematics 2018-12-04 Rafegh Aghamohammadi , Jorge A. Laval

Solving traffic assignment problem for large networks is computationally challenging when conventional optimization-based methods are used. In our research, we develop an innovative surrogate model for a traffic assignment when multi-class…

Machine Learning · Computer Science 2025-01-17 Tong Liu , Hadi Meidani

Deep neural networks can be powerful tools, but require careful application-specific design to ensure that the most informative relationships in the data are learnable. In this paper, we apply deep neural networks to the nonlinear…

Machine Learning · Computer Science 2019-12-04 Matthew A. Wright , Simon F. G. Ehlers , Roberto Horowitz

This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely…

Mathematical Physics · Physics 2015-06-15 Chun-Xiu Wu , Peng Zhang , S. C. Wong , Keechoo Choi

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm

Traffic congestion has become a nightmare to modern life in metropolitan cities. On average, a driver spending X hours a year stuck in traffic is one of most common sentences we often read regarding traffic congestion. Our aim in this…

Optimization and Control · Mathematics 2021-11-18 Harshvardhan Uppaluru , Hamid Emadi , Hossein Rastgoftar

Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

In this paper, we investigate traffic signal control in a network of interconnected intersections, aiming to balance lane-level vehicle densities through optimal green-time allocation. We develop a two-lane traffic flow model that…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Xinfeng Ru , Ting Bai , Weiguo Xia , Andreas A. Malikopoulos

This paper presents a new mathematical model of vehicular traffic, based on the methods of the generalized kinetic theory, in which the space of microscopic states (position and velocity) of the vehicles is genuinely discrete. While in the…

Mathematical Physics · Physics 2013-11-12 Luisa Fermo , Andrea Tosin

This paper deals with a Boltzmann-type kinetic model describing the interplay between vehicle dynamics and safety aspects in vehicular traffic. Sticking to the idea that the macroscopic characteristics of traffic flow, including the…

Physics and Society · Physics 2017-01-12 Paolo Freguglia , Andrea Tosin

Traffic flow at low densities (free traffic) is characterized by a quasi-one-dimensional relation between traffic flow and vehicle density, while no such fundamental diagram exists for `synchronized' congested traffic flow. Instead, a…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Davide Batic , Martin Schoenhof , Martin Treiber

Hybrid traffic modeling and simulation provide an important way to represent and evaluate large-scale traffic networks at different levels of details. The first level, called "microscopic" allows the description of individual vehicles and…

Multiagent Systems · Computer Science 2015-05-28 Najia Bouha , Gildas Morvan , Hassane Abouaïssa , Yoann Kubera

There has been considerable interest in the active maneuvers made by a small number of vehicles to improve macroscopic traffic flows. Jam-absorption driving (JAD) is a single vehicle's maneuvers to remove a wide moving jam and consists of…

Physics and Society · Physics 2020-03-18 Ryosuke Nishi

To tackle ever-increasing city traffic congestion problems, researchers have proposed deep learning models to aid decision-makers in the traffic control domain. Although the proposed models have been remarkably improved in recent years,…

Machine Learning · Computer Science 2022-08-10 Hyunwook Lee , Cheonbok Park , Seungmin Jin , Hyeshin Chu , Jaegul Choo , Sungahn Ko

Subspace representation is a fundamental technique in various fields of machine learning. Analyzing a geometrical relationship among multiple subspaces is essential for understanding subspace series' temporal and/or spatial dynamics. This…

Machine Learning · Computer Science 2024-09-16 Kazuhiro Fukui , Pedro H. V. Valois , Lincon Souza , Takumi Kobayashi
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