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Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

Empirical observations and theoretical studies indicate that the overall travel-time of vehicles in a traffic network can be optimized by means of ramp metering control systems. Here, we present an analysis of traffic data of the highway…

Statistical Mechanics · Physics 2007-05-23 Wolfgang Knospe , Ludger Santen , Andreas Schadschneider , Michael Schreckenberg

The macroscopic fundamental diagram (MFD) is a powerful and popular tool that describes a network scale traffic operational state and serve as the plant model of perimeter control. As both the supply and the demand suffer from random…

Systems and Control · Electrical Eng. & Systems 2022-07-14 HongSheng Qi

We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road network. Traffic on each road is uni-directional, and the dynamics of each vehicle is described by a Follow-the-Leader model. From a mathematical…

Physics and Society · Physics 2020-02-25 Rinaldo M. Colombo , Helge Holden , Francesca Marcellini

Perimeter control maintains high traffic efficiency within protected regions by controlling transfer flows among regions to ensure that their traffic densities are below critical values. Existing approaches can be categorized as either…

Machine Learning · Computer Science 2023-06-01 Xiaocan Li , Ray Coden Mercurius , Ayal Taitler , Xiaoyu Wang , Mohammad Noaeen , Scott Sanner , Baher Abdulhai

Congestion and extreme events in transportation networks are emergent phenomena with significant socio-economic implications. In this work, we study congestion and extreme event properties on real urban street (planar) networks drawn from…

Physics and Society · Physics 2025-05-22 Ajay Agarwal , M. S. Santhanam

In this work we show that in a microfluidic network and in low Reynolds numbers a system can be irreversible because of hysteresis effects.The network, which is employed in our simulations, is taken from recent experiments. The network…

Fluid Dynamics · Physics 2013-05-29 Mehran Djalali Behzad , Hamed Seyed-allaei , Mohammad Reza Ejtehadi

In this paper we investigate the ability of some recently introduced discrete kinetic models of vehicular traffic to catch, in their large time behavior, typical features of theoretical fundamental diagrams. Specifically, we address the…

Mathematical Physics · Physics 2014-03-25 Luisa Fermo , Andrea Tosin

The position of an interface (domain wall) in a medium with random pinning defects is not determined unambiguously by a current value of the driving force even in average. Based on general theory of the interface motion in a random medium…

Disordered Systems and Neural Networks · Physics 2009-11-10 Thomas Nattermann , Valery Pokrovsky

In this paper, we present our work on clustering and prediction of temporal dynamics of global congestion configurations in large-scale road networks. Instead of looking into temporal traffic state variation of individual links, or of small…

Machine Learning · Computer Science 2012-12-20 Yufei Han , Fabien Moutarde

Graph neural ordinary differential equations (Graph ODEs) extend graph learning from discrete message-passing layers to continuous-time representation flows. While it supports adaptive long-range propagation, we show that Graph ODEs with…

Machine Learning · Computer Science 2026-04-28 Qinhan Hou , Jing Tang

Urban traffic congestion is a chronic problem faced by many cities in the US and worldwide. It results in inefficient infrastructure use as well as increased vehicle fuel consumption and emission levels. Congestion is intertwined with…

Systems and Control · Electrical Eng. & Systems 2020-03-04 Youssef Bichiou , Maha Elouni , Hossam M. Abdelghaffar , Hesham A. Rakha

As a Bayesian approach to fitting motorway traffic flow models remains rare in the literature, we explore empirically the sampling challenges this approach offers which have to do with the strong correlations and multi-modality of the…

Computation · Statistics 2021-08-11 Jeremie Coullon , Yvo Pokern

We study the emergence of congestion patterns in urban networks by modeling vehicular interaction by means of a simple traffic rule and by using a set of measures inspired by the standard Betweenness Centrality (BC). We consider a…

Physics and Society · Physics 2022-07-25 Marco Cogoni , Giovanni Busonera , Francesco Versaci

This work provides a comprehensive analysis on naturalistic driving behavior for highways based on the highD data set. Two thematic fields are considered. First, some macroscopic and microscopic traffic statistics are provided. These…

Signal Processing · Electrical Eng. & Systems 2019-03-12 Friedrich Kruber , Jonas Wurst , Samarjit Chakraborty , Michael Botsch

We discuss the hysteretic behavior of the field-induced variations of the microwave surface resistance in superconductors in the critical state. Measurements have been performed in a bulk sample of Nb and a powdered one at different values…

Superconductivity · Physics 2007-05-23 M. Bonura , A. Agliolo Gallitto , M. Li Vigni

Urbanization leads to an increase of traffic in cities. The Macroscopic Fundamental Diagram (MFD) suggests to describe urban traffic at a zonal level, in order to measure and control traffic. However, for a proper estimation, all data needs…

Physics and Society · Physics 2020-02-14 Victor L. Knoop , Marianthi Mermygka , Hans van Lint

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

Granular superconductivity effects in a polycrystalline sample of ruthenocuprate RuSr$_2$(Gd$_{1.5}$Ce$_{0.5})$Cu$_2$O$_{10-\delta}$ are studied. The main attention has been devoted to manifestation of these effects in current and…

Superconductivity · Physics 2015-06-05 B. I. Belevtsev , E. Yu. Beliayev , D. G. Naugle , K. D. D. Rathnayaka

Hysteresis is a major feature of the solid-liquid transition in granular materials. This property, by allowing metastable states, can potentially yield catastrophic phenomena such as earthquakes or aerial landslides. The origin of…

Soft Condensed Matter · Physics 2019-08-21 Hugo Perrin , Cécile Clavaud , Matthieu Wyart , Bloen Metzger , Yoël Forterre
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