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We study the spatiotemporal patterns resulting from different boundary conditions for a microscopic traffic model and contrast it with empirical results. By evaluating the time series of local measurements, the local traffic states are…

物理与社会 · 物理学 2013-07-08 Florian Knorr , Michael Schreckenberg

We present results of numerical simulations of the effect of driver behavior on spatiotemporal congested traffic patterns that result from traffic breakdown at an on-ramp bottleneck. The simulations are made with the Kerner-Klenov…

物理与社会 · 物理学 2011-01-04 Boris S. Kerner

The essential distinction between the Fundamental Diagram Approach (FDA) and Kerner's Three- Phase Theory (KTPT) is the existence of a unique gap-speed (or flow-density) relationship in the former class. In order to verify this…

物理与社会 · 物理学 2014-12-02 Junfang Tian , Martin Treiber , Shoufeng Ma , Bin Jia , Wenyi Zhang

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

Despite the availability of large empirical data sets and the long history of traffic modeling, the theory of traffic congestion on freeways is still highly controversial. In this contribution, we compare Kerner's three-phase traffic theory…

物理与社会 · 物理学 2011-08-25 Martin Treiber , Arne Kesting , Dirk Helbing

Hypotheses and some results of the three-phase traffic theory by the author are compared with results of the fundamental diagram approach to traffic flow theory. A critical discussion of model results about congested pattern features which…

统计力学 · 物理学 2007-05-23 Boris S. Kerner

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…

适应与自组织系统 · 物理学 2015-10-07 Bo Yang , Christopher Monterola

We introduce a simple lattice model of traffic flow in a city where drivers optimize their route-selection in time in order to avoid traffic jams, and study its phase structure as a function of the density of vehicles and of the drivers'…

统计力学 · 物理学 2015-06-24 A. De Martino , M. Marsili , R. Mulet

The cellular automata (CA) approach to traffic modeling is extended to allow for spatially homogeneous steady state solutions that cover a two dimensional region in the flow-density plane. Hence these models fulfill a basic postulate of a…

统计力学 · 物理学 2009-11-07 Boris S. Kerner , Sergey L. Klenov , Dietrich E. Wolf

Most car-following models show a transition from laminar to ``congested'' flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficiently large critical amplitude to move the flow from the…

统计力学 · 物理学 2007-05-23 Kai Nagel , Christopher Kayatz , Peter Wagner

We have found that a variety of phase transitions occurring between three traffic phases (free flow (F), synchronized flow (S), and wide moving jam (J)) determine the spatiotemporal dynamics of traffic consisting of 100% automated-driving…

物理与社会 · 物理学 2023-07-19 Boris S. Kerner

We study several deterministic one-dimensional traffic models. For integer positions and velocities we find the typical high and low density phases separated by a simple transition. If positions and velocities are continuous variables the…

凝聚态物理 · 物理学 2009-10-22 Kai Nagel , Hans J. Herrmann

By means of microscopic simulations we show that non-instantaneous adaptation of the driving behaviour to the traffic situation together with the conventional measurement method of flow-density data can explain the observed…

统计力学 · 物理学 2009-11-10 Martin Treiber , Dirk Helbing

Through the development of a microscopic deterministic model in the framework of three-phase traffic theory, microscopic features of vehicle overacceleration, which determines the occurrence of the metastability of free traffic flow at a…

物理与社会 · 物理学 2025-04-22 Boris S. Kerner , Sergey L. Klenov

A microscopic theory of control of spatial-temporal congested traffic pattern at freeway bottlenecks is presented. Based on empirical spatial-temporal features of congested patterns at freeway bottlenecks which have recently been found,…

统计力学 · 物理学 2009-11-10 Boris S. Kerner

In the present paper a review and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given. Macroscopic traffic equations with multi-valued fundamental…

数值分析 · 数学 2015-03-20 Raul Borsche , Mark Kimathi , Axel Klar

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…

偏微分方程分析 · 数学 2018-12-04 Rafegh Aghamohammadi , Jorge A. Laval

Vehicular traffic is a classical example of a multi-agent system in which autonomous drivers operate in a shared environment. The article provides an overview of the state-of-the-art in microscopic traffic modeling and the implications for…

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

The present paper proposes a novel interpretation of the widely scattered states (called synchronized traffic) stimulated by Kerner's hypotheses about the existence of a multitude of metastable states in the fundamental diagram. Using…

软凝聚态物质 · 物理学 2009-11-07 Ihor Lubashevsky , Reinhard Mahnke , Peter Wagner , Sergey Kalenkov

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
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