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In the following article, we present a novel way to etimate the amounts of traffic on the Origin-Destination couples (OD couples). This new approach combines together a routing algorithm based on the principle of the shortest path and a…

Optimization and Control · Mathematics 2016-08-16 Hélène Le Cadre

In some problems there is information about the destination of a moving object. An example is an airliner flying from an origin to a destination. Such problems have three main components: an origin, a destination, and motion in between. To…

Systems and Control · Computer Science 2021-03-16 Reza Rezaie , X. Rong Li

Transportation is a major contributor to CO2 emissions, making it essential to optimize traffic networks to reduce energy-related emissions. This paper presents a novel approach to traffic network control using Differentiable Predictive…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Renukanandan Tumu , Wenceslao Shaw Cortez , Ján Drgoňa , Draguna L. Vrabie , Sonja Glavaski

As we move towards a mixed-traffic scenario of Autonomous vehicles (AVs) and Human-driven vehicles (HDVs), understanding the car-following behaviour is important to improve traffic efficiency and road safety. Using a real-world trajectory…

Machine Learning · Computer Science 2024-11-11 Ayobami Adewale , Chris Lee , Amnir Hadachi , Nicolly Lima da Silva

We propose and analyse a new microscopic second order Follow-the-Leader type scheme to describe traffic flows. The main novelty of this model consists in multiplying the second order term by a nonlinear function of the global density, with…

Analysis of PDEs · Mathematics 2025-03-04 Dario Mazzoleni , Emanuela Radici , Filippo Riva

Many headway-based car-following models describe longitudinal adaptation through linear relaxation laws, which can produce unrealistically large accelerations and limit the physical consistency of microscopic traffic dynamics. Motivated by…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Nizhum Rahman , Trachette L. Jackson

Traffic problems have seriously affected people's life quality and urban development, and forecasting the short-term traffic congestion is of great importance to both individuals and governments. However, understanding and modeling the…

Signal Processing · Electrical Eng. & Systems 2020-03-17 Meng Chen , Xiaohui Yu , Yang Liu

In this paper, we investigate a nonlocal traffic flow model based on a scalar conservation law, where a stochastic velocity function is assumed. In addition to the modeling, theoretical properties of the stochastic nonlocal model are…

Numerical Analysis · Mathematics 2024-07-04 Timo Böhme , Simone Göttlich , Andreas Neuenkirch

We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

Statistical Mechanics · Physics 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic…

adap-org · Physics 2009-10-28 Kai Nagel , Maya Paczuski

We study a message passing model, applicable also to traffic problems. The model is implemented in a discrete lattice, where particles move towards their destination, with fluctuations around the minimal distance path. A repulsive…

Condensed Matter · Physics 2009-10-28 I. Campos , A. Tarancon , F. Clerot , L. A. Fernandez

Accurate traffic prediction is vital for effective traffic management during hurricane evacuation. This paper proposes a predictive modeling system that integrates Multilayer Perceptron (MLP) and Long-Short Term Memory (LSTM) models to…

Machine Learning · Computer Science 2024-06-19 Qinhua Jiang , Brian Yueshuai He , Changju Lee , Jiaqi Ma

We study statistical properties of a family of maps acting in the space of integer valued sequences, which model dynamics of simple deterministic traffic flows. We obtain asymptotic (as time goes to infinity) properties of trajectories of…

Dynamical Systems · Mathematics 2007-05-23 Michael Blank

Predicting the occurrence, level and duration of high air pollution concentrations exceeding a given critical level enables researchers to study the health impact of road traffic on local air quality and to inform public policy action.…

Applications · Statistics 2017-05-30 János Gyarmati-Szabó , Leonid V. Bogachev , Haibo Chen

I study Hodge decomposition (HodgeRank) for urban traffic flow on two graph representations: dense origin--destination (OD) graphs and road-segment networks. Reproducing the method of Aoki et al., we observe that on dense OD graphs the curl…

Social and Information Networks · Computer Science 2025-09-23 Yifei Sun

Traffic congestion and collisions represent significant economic, environmental, and social challenges worldwide. Traditional traffic management approaches have shown limited success in addressing these complex, dynamic problems. To address…

Machine Learning · Computer Science 2025-06-05 Mira Nuthakki

We show that all existing deterministic microscopic traffic models with identical drivers (including both two-phase and three-phase models) can be understood as special cases from a master model by expansion around well-defined ground…

Adaptation and Self-Organizing Systems · Physics 2015-10-07 Bo Yang , Christopher Monterola

Reaction delays are important in determining the qualitative dynamical properties of a platoon of vehicles traveling on a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Modified Optimal…

Systems and Control · Computer Science 2019-01-28 Gopal Krishna Kamath , Krishna Jagannathan , Gaurav Raina

The Braess's Paradox (BP) is the observation that adding one or more roads to the existing road network will counter-intuitively increase traffic congestion and slow down the overall traffic flow. Previously, the existence of the BP is…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Dingyi Zhuang , Yuzhu Huang , Vindula Jayawardana , Jinhua Zhao , Dajiang Suo , Cathy Wu

Traffic flow prediction is an important research issue to avoid traffic congestion in transportation systems. Traffic congestion avoiding can be achieved by knowing traffic flow and then conducting transportation planning. Achieving traffic…

Machine Learning · Computer Science 2017-10-05 Yuanfang Chen , Falin Chen , Yizhi Ren , Ting Wu , Ye Yao
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