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A simple algorithm for constructing an effective traffic model is presented. The algorithm uses statistically well-defined quantities extracted from the flow-density plot, and the resulting effective model naturally captures and predicts…

适应与自组织系统 · 物理学 2014-12-16 Bo Yang , Christopher Monterola

We present data from several German freeways showing different kinds of congested traffic forming near road inhomogeneities, specifically lane closings, intersections, or uphill gradients. The states are localized or extended, homogeneous…

统计力学 · 物理学 2009-10-31 Martin Treiber , Ansgar Hennecke , Dirk Helbing

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…

统计力学 · 物理学 2007-05-23 Dirk Helbing , Ansgar Hennecke , Vladimir Shvetsov , Martin Treiber

We present large scale and detailed analysis of the microscopic empirical data of the traffic flow, focusing on the non-linear interactions between the vehicles when the traffic is congested. By implementing a "renormalisation" procedure…

适应与自组织系统 · 物理学 2016-03-15 Bo Yang , Ji Wei Yoon , Christopher Monterola

A macroscopic model-based approach for estimation of the traffic state, specifically of the (total) density and flow of vehicles, is developed for the case of "mixed" traffic, i.e., traffic comprising both ordinary and connected vehicles.…

最优化与控制 · 数学 2015-04-28 Nikolaos Bekiaris-Liberis , Claudio Roncoli , Markos Papageorgiou

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 · 物理学 2009-10-28 Kai Nagel , Maya Paczuski

Traffic congestion is one of the most notable problems arising in worldwide urban areas, importantly compromising human mobility and air quality. Current technologies to sense real-time data about cities, and its open distribution for…

物理与社会 · 物理学 2016-12-30 Albert Solé-Ribalta , Sergio Gómez , Alex Arenas

We introduce a general formulation for an implicit equation-free method in the setting of slow-fast systems. First, we give a rigorous convergence result for equation-free analysis showing that the implicitly defined coarse-level time…

动力系统 · 数学 2015-08-03 Christian Marschler , Jan Sieber , Rainer Berkemer , Atsushi Kawamoto , Jens Starke

Traffic waves can rise even from single lane car-following behaviour. To better understand and mitigate traffic waves, it is necessary to use analytical tools like mathematical models, data analysis, and micro-simulations that can capture…

物理与社会 · 物理学 2023-10-10 Nour Khoudari , Rabie Ramadan , Megan Ross , Benjamin Seibold

Recently we proposed an extension to the traffic model of Aw, Rascle and Greenberg. The extended traffic model can be written as a hyperbolic system of balance laws and numerically reproduces the reverse $\lambda$ shape of the fundamental…

物理与社会 · 物理学 2009-11-11 Florian Siebel , Wolfram Mauser

It is shown that the branch of the empirical fundamental diagram for congested traffic strongly depends both on the type of the congested pattern at a freeway bottleneck and on the freeway location where the fundamental diagram is measured.…

统计力学 · 物理学 2007-05-23 Boris S. Kerner

The congestion formation on a urban road network is one of the key issue for the development of a sustainable mobility in the future smart cities. In this work we propose a reductionist approach studying the stationary states of a simple…

物理与社会 · 物理学 2024-05-28 Lorenzo Di Meco , Mirko Degli Esposti , Federico Bellisardi , Armando Bazzani

We present a phase diagram of the different kinds of congested traffic that are triggered by disturbances when passing ramps or other spatial inhomogeneities of a freeway. The simulation results obtained by the nonlocal, gas-kinetic-based…

统计力学 · 物理学 2009-10-31 Dirk Helbing , Ansgar Hennecke , Martin Treiber

In the Optimal Velocity Model proposed as a new version of Car Following Model, it has been found that a congested flow is generated spontaneously from a homogeneous flow for a certain range of the traffic density. A well-established…

patt-sol · 物理学 2009-10-30 K. Nakanishi , K. Itoh , Y. Igarashi , M. Bando

A two parameter model for single lane car-following is introduced and its equilibrium and non-equilibrium properties are studied. Despite its simplicity, this model exhibits a rich phenomenology, analogous to that observed in real traffic,…

统计力学 · 物理学 2007-05-23 M. Antoni , R. Cafiero

Using the optimal velocity (OV) model as an example, we show that in the non-linear regime there is an emergent quantity that gives the extremum headways in the cluster formation, as well as the coexistence curve separating the absolute…

统计力学 · 物理学 2016-05-11 Bo Yang , Xihua Xu , John Z. F. Pang , Christopher Monterola

A microscopic criterion for distinguishing synchronized flow and wide moving jam phases in single vehicle data measured at a single freeway location is presented. Empirical local congested traffic states in single vehicle data measured on…

物理与社会 · 物理学 2009-11-11 Boris S. Kerner , Sergey L. Klenov , Andreas Hiller

Monitoring and control of traffic networks represent alternative, inexpensive strategies to minimize traffic congestion. As the number of traffic sensors is naturally constrained by budgetary requirements, real-time estimation of traffic…

系统与控制 · 计算机科学 2019-11-12 Sebastian A. Nugroho , Ahmad F. Taha , Christian Claudel

Starting from the instability diagram of a traffic flow model, we derive conditions for the occurrence of congested traffic states, their appearance, their spreading in space and time, and the related increase in travel times. We discuss…

物理与社会 · 物理学 2009-10-26 Dirk Helbing , Martin Treiber , Arne Kesting , Martin Schönhof

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

统计力学 · 物理学 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili
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