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The paper presents a Projection-Based Reduced-Order Model for simulations of high Reynolds turbulent flows. The PBROM are enhanced by incorporating various models of turbulent viscosity and residual closures to model the effects of…

Computational Engineering, Finance, and Science · Computer Science 2021-05-25 My Ha Dao , Hoang Huy Nguyen

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams…

Statistical Mechanics · Physics 2009-10-31 L. Roters , S. Lubeck , K. D. Usadel

This paper develops boundary control for freeway traffic with a downstream bottleneck. Traffic on a freeway segment with capacity drop at outlet of the segment is a common phenomenon leading to traffic bottleneck problem. The capacity drop…

Optimization and Control · Mathematics 2019-04-10 Huan Yu , Shumon Koga , Tiago Roux Oliveira , Miroslav Krstic

In this thesis, Riemann problems and Godunov methods are developed for higher order traffic flow models. A rigorous analysis of the first order traffic flow model of inhomogeneous road is presented. A two-level simulation framework of…

Dynamical Systems · Mathematics 2009-09-29 Wenlong Jin

This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equations. The network is characterized by bounded buffers at…

Numerical Analysis · Mathematics 2020-04-22 Theresa Dambach , Simone Göttlich , Stephan Knapp

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

In this paper a comparison between first order microscopic and macroscopic differential models of crowd dynamics is established for an increasing number $N$ of pedestrians. The novelty is the fact of considering massive agents, namely…

Analysis of PDEs · Mathematics 2016-03-22 Alessandro Corbetta , Andrea Tosin

In this paper, we aim at developing new methods to join machine learning techniques and macroscopic differential models for vehicular traffic estimation and forecast. It is well known that data-driven and model-driven approaches have…

Machine Learning · Computer Science 2024-12-06 Maya Briani , Emiliano Cristiani , Elia Onofri

In this paper, we propose a unified procedure for calibration of macroscopic second-order multilane traffic models. The focus is on calibrating the fundamental diagram using the combination stationary detector data and GPS traces. GPS…

We study non-local effects associated with particle collisions in dense suspension flows, in the context of the affine solvent model known to capture various aspects of the jamming transition. We show that an individual collision changes…

Statistical Mechanics · Physics 2016-08-24 Gustavo Düring , Edan Lerner , Matthieu Wyart

Intersections are the bottlenecks of the urban road system because an intersection's capacity is only a fraction of the flows that the roads connecting to the intersection can carry. This capacity can be increased if vehicles can cross the…

Dynamical Systems · Mathematics 2017-02-02 Jennie Lioris , Ramtin Pedarsani , Fatma Yildiz Tascikaraoglu , Pravin Varaiya

In this paper, we reveal the relationship between entropy rate and the congestion in complex network and solve it analytically for special cases. Finding maximizing entropy rate will lead to an improvement of traffic efficiency, we propose…

Physics and Society · Physics 2017-09-15 Yuhang Fan , Hanyuan Liu , Shibo He

This paper provides an enhanced modeling of the contingency response that collectively reflects high-fidelity physical and operational characteristics of power grids. Integrating active and reactive power contingency responses into the…

Systems and Control · Electrical Eng. & Systems 2021-02-18 Tuncay Altun , Ramtin Madani , Alper Atamturk , Ross Baldick , Ali Davoudi

We study the phase diagram of the continuum traffic flow model of a highway with an on-ramp. Using an open boundary condition, traffic states and metastabilities are investigated numerically for several representative values of the upstream…

Statistical Mechanics · Physics 2009-10-31 H. Y. Lee , H. -W. Lee , D. Kim

Anticipation in traffic means that drivers estimate their leaders' velocities for future timesteps. In the article a specific stochastic car--following model with non--unique flow--density relation is investigated with respect to…

Statistical Mechanics · Physics 2009-11-10 Nils Eissfeldt , Peter Wagner

In autonomous mobility-on-demand systems, effectively managing vehicle flows to mitigate induced congestion and ensure efficient operations is imperative for system performance and positive customer experience. Against this background, we…

Optimization and Control · Mathematics 2025-06-25 Antonio Coppola , Gerhard Hiermann , Dario Paccagnan , Maximilian Schiffer

Many practical planning and operational applications in power systems require simultaneous consideration of a large number of operating conditions or Multi-Scenario AC-Optimal Power Flow (MS-AC-OPF) solution. However, when the number of…

Optimization and Control · Mathematics 2019-05-28 Vladimir Frolov , Line Roald , Michael Chertkov

The two phase model for vehicular traffic flows recently appeared in \cite{goatin2006aw} and \cite{BenyahiaRosini01} is endowed with a point constraint on the flow to allow for the modelling of phenomena such as the effects of toll booths…

Analysis of PDEs · Mathematics 2016-05-27 Massimiliano D. Rosini , Benyahia Mohamed Ramiz

We describe a simple experiment involving spheres rolling down an inclined plane towards a bottleneck and through a gap. Results of the experiment indicate that flow rate can be increased by placing an obstruction at optimal positions near…

Soft Condensed Matter · Physics 2017-03-23 Alan Murray , Fernando Alonso-Marroquin

We study the interaction between the AIMD (Additive Increase Multiplicative Decrease) congestion control and a bottleneck router with Drop Tail buffer. We consider the problem in the framework of deterministic hybrid models. First, we show…

Networking and Internet Architecture · Computer Science 2007-05-23 Konstantin Avrachenkov , Urtzi Ayesta , Alexei Piunovskiy