English
Related papers

Related papers: The Biham-Middleton-Levine traffic model for a sin…

200 papers

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.…

Optimization and Control · Mathematics 2015-04-28 Nikolaos Bekiaris-Liberis , Claudio Roncoli , Markos Papageorgiou

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

In most models of traffic flow, the car density $p$ is the only free parameter in determining the average car velocity $\langle v \rangle$. The critical car density $p_c$, which is defined to be the car density separating the jamming phase…

adap-org · Physics 2009-10-28 H. F. Chau , P. M. Hui , Y. F. Woo

The rapid development of autonomous vehicles (AVs) holds vast potential for transportation systems through improved safety, efficiency, and access to mobility. However, the progression of these impacts, as AVs are adopted, is not well…

Artificial Intelligence · Computer Science 2022-01-03 Cathy Wu , Aboudy Kreidieh , Kanaad Parvate , Eugene Vinitsky , Alexandre M Bayen

Reinforcement learning techniques can provide substantial insights into the desired behaviors of future autonomous driving systems. By optimizing for societal metrics of traffic such as increased throughput and reduced energy consumption,…

Multiagent Systems · Computer Science 2022-01-03 Abdul Rahman Kreidieh , Yibo Zhao , Samyak Parajuli , Alexandre Bayen

In the optimal velocity model with a time lag, we show that there appear multiple exact solutions in some ranges of car density, describing a uniform flow, a stable and an unstable congested flows. This establishes the presence of…

patt-sol · Physics 2007-05-23 Yuji Igarashi , Katsumi Itoh , Ken Nakanishi , Kazuhiro Ogura , Ken Yokokawa

Based on simulations with the ``intelligent driver model'', a microscopic traffic model, we explain the recently discovered transition from free over ``synchronized'' traffic to stop-and-go patterns [B. S. Kerner, Phys. Rev. Lett. 81, 3797…

Statistical Mechanics · Physics 2007-05-23 Martin Treiber , Dirk Helbing

A system of identical cars on a single-lane road is treated as a microcanonical and canonical ensemble. Behaviour of the cars is characterized by the probability of car velocity as a function of distance and velocity of the car ahead. The…

Physics and Society · Physics 2007-05-23 Anton Šurda

This paper presents a mixed traffic control policy designed to optimize traffic efficiency across diverse road topologies, addressing issues of congestion prevalent in urban environments. A model-free reinforcement learning (RL) approach is…

Robotics · Computer Science 2025-01-29 Chuyang Xiao , Dawei Wang , Xinzheng Tang , Jia Pan , Yuexin Ma

In this paper we carry out a computational study of a novel microscopic follow-the-leader model for traffic flow on road networks. We assume that each driver has its own origin and destination, and wants to complete its journey in minimal…

Optimization and Control · Mathematics 2025-11-19 Emiliano Cristiani , Francesca L. Ignoto

In order to develop a toy model for car's traffic in cities, in this paper we analyze, by means of numerical simulations, the transition among fluid regimes and a congested jammed phase of the flow of "kinetically constrained" hard spheres…

Statistical Mechanics · Physics 2009-07-30 Adriano Barra , Gabriele Achler

We present experimental results on the single file motion of a group of robots interacting with each other through position sensors. We successfully replicate the fundamental diagram typical of these systems, with a transition from free…

Adaptation and Self-Organizing Systems · Physics 2024-03-14 Laciel Alonso-Llanes , Angel Garcimartín , Iker Zuriguel

In this paper we study a phase transition model for vehicular traffic flows. Two phases are taken into account, according to whether the traffic is light or heavy. We assume that the two phases have a non-empty intersection, the so called…

Analysis of PDEs · Mathematics 2018-04-23 Mohamed Benyahia , Carlotta Donadello , Nikodem Dymski , Massimiliano D. Rosini

Traffic flow is a very prominent example of a driven non-equilibrium system. A characteristic phenomenon of traffic dynamics is the spontaneous and abrupt drop of the average velocity on a stretch of road leading to congestion. Such a…

Physics and Society · Physics 2012-10-29 Florian Knorr , Michael Schreckenberg

We propose a model-free reinforcement learning method for controlling mixed autonomy traffic in simulated traffic networks with through-traffic-only two-way and four-way intersections. Our method utilizes multi-agent policy decomposition…

Artificial Intelligence · Computer Science 2021-11-09 Zhongxia Yan , Cathy Wu

We propose a minimal model for the emergence of a directed flow in autonomous Hamiltonian systems. It is shown that internal breaking of the spatio-temporal symmetries, via localised initial conditions, that are unbiased with respect to the…

Statistical Mechanics · Physics 2011-02-07 D. Hennig , A. D. Burbanks , C. Mulhern , A. H. Osbaldestin

We investigate a simple multisegment cellular automaton model of traffic flow. With the introduction of segment-dependent deceleration probability, metastable congested states in the intermediate density region emerge, and the initial state…

Physics and Society · Physics 2009-11-11 Yutaka Nishimura , Taksu Cheon , Petr Seba

Cycling is a green transportation mode, and is promoted by many governments to mitigate traffic congestion. However, studies concerning the traffic dynamics of bicycle flow are very limited. This study experimentally investigated bicycle…

Adaptation and Self-Organizing Systems · Physics 2019-04-15 Ning Guo , Rui Jiang , SC Wong , Qing-Yi Hao , Shu-Qi Xue , Mao-Bin Hu

Although routing applications increasingly affect individual mobility choices, their impact on collective traffic dynamics remains largely unknown. Smart communication technologies provide accurate traffic data for choosing one route over…

Physics and Society · Physics 2021-11-29 Verena Krall , Max F. Burg , Friedrich Pagenkopf , Henrik Wolf , Marc Timme , Malte Schröder

We investigate two models for traffic flow with modified acceleration ('slow-to-start') rules. Even in the simplest case $v_{max}=1$ these rules break the 'particle-hole` symmetry of the model. We determine the fundamental diagram…

Statistical Mechanics · Physics 2009-10-30 Andreas Schadschneider , Michael Schreckenberg