English
Related papers

Related papers: Coupled-Map Modeling of One-Dimensional Traffic Fl…

200 papers

The balanced vehicular traffic model is a macroscopic model for vehicular traffic flow. We use this model to study the traffic dynamics at highway bottlenecks either caused by the restriction of the number of lanes or by on-ramps or…

Physics and Society · Physics 2007-05-23 Florian Siebel , Wolfram Mauser , Salissou Moutari , Michel Rascle

Our goal is to use overhead imagery to understand patterns in traffic flow, for instance answering questions such as how fast could you traverse Times Square at 3am on a Sunday. A traditional approach for solving this problem would be to…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Scott Workman , Nathan Jacobs

Cooperative maneuver planning promises to significantly improve traffic efficiency at unsignalized intersections by leveraging connected automated vehicles. Previous works on this topic have been mostly developed for completely automated…

Robotics · Computer Science 2026-02-03 Marvin Klimke , Max Bastian Mertens , Benjamin Völz , Michael Buchholz

Based on the statistical evaluation of experimental single-vehicle data, we propose a quantitative interpretation of the erratic scattering of flow-density data in synchronized traffic flows. A correlation analysis suggests that the…

Statistical Mechanics · Physics 2009-11-07 Katsuhiro Nishinari , Martin Treiber , Dirk Helbing

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…

Physics and Society · Physics 2009-11-11 Boris S. Kerner , Sergey L. Klenov , Andreas Hiller

In this work we extend a recent kinetic traffic model to the case of more than one class of vehicles, each of which is characterized by few different microscopic features. We consider a Boltzmann-like framework with only binary…

Numerical Analysis · Mathematics 2017-02-22 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

We study completely asymmetric 2-channel exclusion processes in 1 dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars…

Statistical Mechanics · Physics 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

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'…

Statistical Mechanics · Physics 2015-06-24 A. De Martino , M. Marsili , R. Mulet

Mixed traffic flow consisting of vehicles equipped with adaptive cruise control (ACC) and manually driven vehicles is analyzed using car-following simulations. Unlike simulations that show suppression of jams due to increased string…

Computational Physics · Physics 2007-05-23 L. C. Davis

The study of diffusion in Hamiltonian systems has been a problem of interest for a number of years. In this paper we explore the influence of self-consistency on the diffusion properties of systems described by coupled symplectic maps.…

The increased availability of interactive maps on the Internet and on personal mobile devices has created new challenges in computational cartography and, in particular, for label placement in maps. Operations like rotation, zoom, and…

Computational Geometry · Computer Science 2016-09-22 Lukas Barth , Benjamin Niedermann , Martin Nöllenburg , Darren Strash

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…

Physics and Society · Physics 2009-10-26 Dirk Helbing , Martin Treiber , Arne Kesting , Martin Schönhof

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…

Physics and Society · Physics 2023-10-10 Nour Khoudari , Rabie Ramadan , Megan Ross , Benjamin Seibold

The logistic map is a paradigmatic dynamical system originally conceived to model the discrete-time demographic growth of a population, which shockingly, shows that discrete chaos can emerge from trivial low-dimensional non-linear dynamics.…

Chaotic Dynamics · Physics 2016-04-20 Alexandre L'Her , Pablo Amil , Nicolas Rubido , Arturo C. Marti , Cecilia Cabeza

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

On the basis of assumptions about the behavior of driver-vehicle units concerning acceleration, deceleration, overtaking, and lane-changing maneuvers, a gas-kinetic traffic model for uni-directional multi-lane freeways is constructed.…

Statistical Mechanics · Physics 2015-06-25 Dirk Helbing

When connected and autonomous vehicles (CAVs) are widely used in the future, we can foresee many essential applications, such as platoon formation and autonomous police patrolling, which need two CAVs, originally separated in a mixed…

Optimization and Control · Mathematics 2022-07-28 Jiahua Qiu , Lili Du

An array system of coupled maps is proposed as a model for economy evolution. The local dynamics of each map or agent is controlled by two parameters. One of them represents the growth capacity of the agent and the other one is a control…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 J. R. Sanchez , R. Lopez-Ruiz

A new vehicular traffic flow model based on a stochastic jump process in vehicle acceleration and braking is introduced. It is based on a master equation for the single car probability density in space, velocity and acceleration with an…

Other Condensed Matter · Physics 2009-11-10 K. Thomas Waldeer

Ramp metering, a traditional traffic control strategy for conventional vehicles, has been widely deployed around the world since the 1960s. On the other hand, the last decade has witnessed significant advances in connected and automated…

Systems and Control · Electrical Eng. & Systems 2019-08-05 Zhouqiao Zhao , Ziran Wang , Guoyuan Wu , Fei Ye , Matthew J. Barth