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We derive the critical behavior of a CA traffic flow model using an order parameter breaking the symmetry of the jam-free phase. Random braking appears to be the symmetry-breaking field conjugate to the order parameter. For $v_{\max}=2$, we…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. Boccara , H. Fukś

We investigate a traffic model in which cars either move freely with quenched intrinsic velocities or belong to clusters formed behind slower cars. In each cluster, the next-to-leading car is allowed to pass and resume free motion. The…

Statistical Mechanics · Physics 2009-10-31 I. Ispolatov , P. L. Krapivsky

A cellular automaton named Rule 184++C is proposed as a meta-model to investigate the flow of various complex particles. In this model, unlike the granular pipe flow and the traffic flow, not only the free-jam phase transition but also the…

comp-gas · Physics 2009-10-31 A. Awazu

Based of simulations of a stochastic three-phase traffic flow model, we reveal that at a signalized city intersection under small link inflow rates at which a vehicle queue developed during the red phase of light signal dissolves fully…

Physics and Society · Physics 2015-05-30 Boris S. Kerner

We present a new analytical description of the cellular automaton model for single-lane traffic. In contrast to previous approaches we do not use the occupation number of sites as dynamical variable but rather the distance between…

Statistical Mechanics · Physics 2009-10-28 Andreas Schadschneider , Michael Schreckenberg

We consider one-way road deterministic traffic model with $N$ particles. The simplest local control protocol, which reminds physical interaction)\d{ }with three parameters is considered. We study the stable and unstable domains of the phase…

Mathematical Physics · Physics 2015-12-29 A. A. Lykov , V. A. Malyshev , M. V. Melikian

We propose a model to implement and simulate different traffic-flow conditions in terms of quantum graphs hosting an ($N$+1)-level dot at each site, which allows us to keep track of the type and of the destination of each vehicle. By…

Statistical Mechanics · Physics 2022-04-20 Andrea Nava , Domenico Giuliano , Alessandro Papa , Marco Rossi

Single-vehicle data of freeway traffic as well as selected Floating-Car (FC) data are analyzed in great detail. Traffic states are distinguished by means of aggregated data. We propose a method for a quantitative classification of these…

Statistical Mechanics · Physics 2007-05-23 L. Neubert , L. Santen , A. Schadschneider , M. Schreckenberg

We introduce density dependence of the cell size in cellular-automaton models for traffic flow, which allows a more precise correspondence between real-world phenomena and what observed in simulation. Also, we give an explicit calibration…

Cellular Automata and Lattice Gases · Physics 2015-05-18 Masahiro Kanai

Hybrid traffic modeling and simulation provide an important way to represent and evaluate large-scale traffic networks at different levels of details. The first level, called "microscopic" allows the description of individual vehicles and…

Multiagent Systems · Computer Science 2015-05-28 Najia Bouha , Gildas Morvan , Hassane Abouaïssa , Yoann Kubera

We investigate the dynamical transition from free-flow to jammed traffic, which is related to the divergence of the relaxation time and susceptibility of the energy dissipation rate $E_d$, in the Nagel-Schreckenberg (NS) model with two…

Cellular Automata and Lattice Gases · Physics 2011-03-01 Wei Zhang , Wei Zhang , Wei Chen

Starting from a second-order linear differential equation, we analyze the dynamical mechanisms of no behavior pattern (pure response), reaction and anticipation behaviors in traffic. As an emergence of the underlying dynamical evolution,…

Physics and Society · Physics 2026-01-27 Jinghui Wang , Wei Lv

We propose a stochastic model for the intersection of two urban streets. The traffic state at the crossroads is controlled by a set of traffic lights, which periodically switch to red and green with a total period of T. Vehicular dynamics…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Nima Hamedani Radja

We study the statistical properties of a cellular automata model of traffic flow with the look-ahead potential. The model defines stochastic rules for the movement of cars on a lattice. We analyze the underlying statistical assumptions…

Probability · Mathematics 2012-09-27 Cory Hauck , Yi Sun , Ilya Timofeyev

We use a very simple description of human driving behavior to simulate traffic. The regime of maximum vehicle flow in a closed system shows near-critical behavior, and as a result a sharp decrease of the predictability of travel time. Since…

adap-org · Physics 2008-02-03 Nagel K , Rasmussen S

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

We present a phase diagram of the different kinds of congested traffic that are triggered by disturbances when passing ramps or other spatial inhomogeneities of a freeway. The simulation results obtained by the nonlocal, gas-kinetic-based…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Ansgar Hennecke , Martin Treiber

We investigate the behaviour of an original traffic model. The model considers a single multi-lane street, populated by autonomous vehicles directed from either end to the other. Lanes have no intrinsic directionality, and the vehicles are…

Computational Physics · Physics 2007-05-23 Federico Polito , Fergal Dalton

Rush hour and sustained traffic flows in eight cities are studied using the IBM Mega Traffic Simulator to understand the importance of road structures and vehicle acceleration in the prevention of gridlock. Individual cars among the tens of…

Physics and Society · Physics 2024-01-03 Bruce G. Elmegreen , Tayfun Gokmen , Biruk Habtemariam

We have developed a modified Nagel-Schreckenberg cellular automata model for describing a conflicting vehicular traffic flow at the intersection of two streets. No traffic lights control the traffic flow. The approaching cars to the…

Physics and Society · Physics 2009-11-13 M. Ebrahim Foulaadvand , Sommayeh Belbasi