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A new single lane car following model of traffic flow is presented. The model is inertial and free of collisions. It demonstrates experimentally observed features of traffic flow such as the existence of three regimes: free, fluctuative…

无序系统与神经网络 · 物理学 2009-10-31 Elad Tomer , Leonid Safonov , Shlomo Havlin

We propose a cellular automata model for vehicular traffic in cities by combining (and appropriately modifying) ideas borrowed from the Biham-Middleton-Levine (BML) model of city traffic and the Nagel-Schreckenberg (NS) model of highway…

统计力学 · 物理学 2016-08-31 Debashish Chowdhury , Andreas Schadschneider

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

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…

统计力学 · 物理学 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

The Biham-Middleton-Levine model (BML) is simple lattice model of traffic flow, self-organization and jamming. Rather than a sharp phase transition between free-flow and jammed, it was recently shown that there is a region where stable…

统计力学 · 物理学 2008-08-21 Nicholas J. Linesch , Raissa M. D'Souza

A traffic system is a random and complex large system, which is difficult to conduct repeated modelling and control research in a real traffic environment. With the development of automatic driving technology, the requirements for testing…

机器人学 · 计算机科学 2023-08-01 Junfeng Li , Changqing Yan

The Simon-Gutowitz bidirectional traffic model (Phys. Rev. E 57, 2441 (1998)) is revisited in this letter. We found that passing cars get stuck with oncoming cars before returning to their home lanes. This provokes the occurrence of wide…

物理与社会 · 物理学 2009-03-10 Najem Moussa

A two--dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

adap-org · 物理学 2008-02-03 Jan Freund , Thorsten Pöschel

This letter propose a new model for characterizing traffic dynamics in scale-free networks. With a replotted road map of cities with roads mapped to vertices and intersections to edges, and introducing the road capacity L and its handling…

物理与社会 · 物理学 2007-05-23 Mao-Bin Hu , Wen-Xu Wang , Rui Jiang , Qing-Song Wu , Bing-Hong Wang , Yong-Hong Wu

We examine various realistic generalizations of the basic cellular automaton model describing traffic flow along a highway. In particular, we introduce a {\em slow-to-start} rule which simulates a possible delay before a car pulls away from…

凝聚态物理 · 物理学 2009-10-28 Simon C. Benjamin , Neil F. Johnson , P. M. Hui

The present paper proposes a stochastic model of the traffic flow. This model has a discrete set of states and the continuous time. The model is a generalization of the discrete stochastis model that has been considered in a previous paper…

其他凝聚态物理 · 物理学 2007-05-23 A. P. Buslaev , A. G. Tatashev , M. V. Yashina

A two-dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

统计力学 · 物理学 2015-06-24 Jan Freund , Thorsten Poeschel

In [7], Berthelin, Degond, Delitala and Rascle introduced a traffic flow model describing the formation and the dynamics of traffic jams. This model consists of a Pressureless Gas Dynamics system under a maximal constraint on the density…

偏微分方程分析 · 数学 2012-08-08 Florent Berthelin , Damien Broizat

We present a fluid-dynamic model for the simulation of urban traffic networks with road sections of different lengths and capacities. The model allows one to efficiently simulate the transitions between free and congested traffic, taking…

科普物理 · 物理学 2007-05-23 Dirk Helbing , Stefan Lämmer , Jean-Patrick Lebacque

A simple macroscopic model for the vehicular traffic flow with hysteresis is proposed. The model includes drivers' hysteresis behavior into the classical Lighthill-Whitham-Richard (LWR) model. One novelty of the model is how the hysteresis…

偏微分方程分析 · 数学 2018-11-02 Andrea Corli , Haitao Fan

We propose a one-dimensional model of active particles interpolating between quorum sensing models used in the study of motility-induced phase separation (MIPS) and models of congestion of traffic flow on a single-lane highway. Particles…

统计力学 · 物理学 2026-01-08 Eric Bertin , Alexandre Solon

A two-lane extension of a recently proposed cellular automaton model for traffic flow is discussed. The analysis focuses on the reproduction of the lane usage inversion and the density dependence of the number of lane changes. It is shown…

统计力学 · 物理学 2009-11-07 W. Knospe , L. Santen , A. Schadschneider , M. Schreckenberg

We study a model for freeway traffic which includes strong noise taking into account the fluctuations of individual driving behavior. The model shows emergent traffic jams with a self-similar appearance near the throughput maximum of the…

凝聚态物理 · 物理学 2009-10-22 K. Nagel

We develop a discrete Boltzmann-type model that uses dynamics in phase space to describe the behavior of traffic flows. Firstly, we model the traffic flow at mesoscopic scale using dynamics in phase space, which is considered as an…

元胞自动机与格子气 · 物理学 2023-11-27 Zhizhen Zhang , Changhong Lu

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