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To study gap acceptance behaviour one needs the distribution (or probability density function) of gaps in the opposing stream. Further, in these times of widespread availability of large computing powers, traffic simulation has emerged as a…

Applications · Statistics 2025-12-10 Ankita Sharma , Partha Chakroborty , Pranamesh Chakraborty

Lagging or halted traffic is bothersome. As such, it is desirable to have a model that can begin to determine the efficiency of various traffic standardizations. Our model intended to create a multifaceted realistic simulation of traffic…

Cellular Automata and Lattice Gases · Physics 2018-03-28 Camilla Champion , Cody Champion

In this article an anisotropic interaction model avoiding collisions is proposed. Starting point is a general isotropic interacting particle system, as used for swarming or follower-leader dynamics. An anisotropy is induced by rotation of…

Analysis of PDEs · Mathematics 2020-08-17 Claudia Totzeck

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 present and study lattice and off-lattice microscopic models in which particles interact via a local anisotropic rule. The rule induces preferential hopping along one direction, so that a net current sets in if allowed by boundary…

Statistical Mechanics · Physics 2007-05-23 M. Diez-Minguito , P. L. Garrido , J. Marro

When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. Changing lane can be forced due to lane drops or junctions, but may also take place spontaneously at discretion of drivers, and recent studies…

Physics and Society · Physics 2023-08-15 Jeremy Worsfold , Tim Rogers

A recently introduced particle-based model for fluid dynamics with effective excluded volume interactions is analyzed in detail. The interactions are modeled by means of stochastic multiparticle collisions which are biased and depend on…

Soft Condensed Matter · Physics 2007-05-23 Thomas Ihle , Erkan Tuzel

In this work, we introduce a novel first-order nonlocal partial differential equation with saturated diffusion to describe the macroscopic behavior of traffic dynamics. We show how the proposed model is better in comparison with existing…

Optimization and Control · Mathematics 2025-04-02 Dawson Do , Hossein Nick Zinat Matin , Masuma Mollika Miti , Maria Laura Delle Monache

In this paper, we investigate the dynamic emergence of traffic order in a distributed multi-agent system, aiming to minimize inefficiencies that stem from unnecessary structural impositions. We introduce a methodology for developing a…

Multiagent Systems · Computer Science 2025-01-28 Anahita Jain , Husni R. Idris , John-Paul Clarke

In this work, we consider the case where a source with bursty traffic can adjust the transmission duration in order to increase the reliability. The source is equipped with a queue in order to store the arriving packets. We model the system…

Information Theory · Computer Science 2018-09-11 Nikolaos Pappas

Percolation transition is widely observed in networks ranging from biology to engineering. While much attention has been paid to network topologies, studies rarely focus on critical percolation phenomena driven by network dynamics. Using…

Physics and Society · Physics 2019-01-08 Guanwen Zeng , Daqing Li , Shengmin Guo , Liang Gao , Ziyou Gao , H. Eugene Stanley , Shlomo Havlin

Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

The spatio-temporal structure of traffic flow pattern is investigated under the open boundary condition using the optimal velocity (OV) model. The parameter region where the uniform solution is convectively unstable is determined. It is…

Statistical Mechanics · Physics 2009-10-31 Namiko Mitarai , Hiizu Nakanishi

As a typical self-driven many-particle system far from equilibrium, traffic flow exhibits diverse fascinating non-equilibrium phenomena, most of which are closely related to traffic flow stability and specifically the growth/dissipation…

Adaptation and Self-Organizing Systems · Physics 2015-06-18 Rui Jiang , Mao-Bin Hu , H. M. Zhang , Zi-You Gao , Bin Jia , Qing-Song Wu , Bing Wang , Ming Yang

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 · Physics 2009-10-28 Kai Nagel , Maya Paczuski

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

Statistical Mechanics · Physics 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

Why does a traffic jams form out of nowhere, and why does it stretch for kilometers even after the initial cause is passed? This study examines how congestion moves and spreads across motorways using a surprisingly simple method: response…

Physics and Society · Physics 2025-08-15 Sebastian Gartzke , Shanshan Wang , Thomas Guhr , Michael Schreckenberg

Traffic breakdown, as one of the most puzzling traffic flow phenomena, is characterized by sharply decreasing speed, abruptly increasing density and in particular suddenly plummeting capacity. In order to clarify its root mechanisms and…

Physics and Society · Physics 2017-04-04 Zuojun Wang , Junfang Tian , Rui Jiang , Xiaopeng Li , Shou Feng Ma

By conditioning a stochastic process on the value of an observable, one obtains a new stochastic process with different properties. We apply this idea in the context of active matter, and condition interacting self-propelled particles on…

Statistical Mechanics · Physics 2020-03-04 Francesco Cagnetta , Emil Mallmin

The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colored noise terms, and has a deterministic tilt. Numerical…

Statistical Mechanics · Physics 2013-06-06 James P. Gleeson