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The path-preference traffic flow cellular automaton is suggested to model the dynamics of transcription. The main difference from the simple traffic flow model is that it contains another preferential paths at some sites. In this paper, we…

Cellular Automata and Lattice Gases · Physics 2017-12-27 Yoichi Nakata , Yoshihiro Ohta , Sigeo Ihara

We construct a stochastic cellular automata model for the description of vehicular traffic at a roundabout designed at the intersection of two perpendicular streets. The vehicular traffic is controlled by a self-organized scheme in which…

Statistical Mechanics · Physics 2012-03-20 M. Ebrahim Fouladvand , Zeinab Sadjadi , M. Reza Shaebani

We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of blocks of zeros, reducing the problem of preimage enumeration to…

Dynamical Systems · Mathematics 2007-05-23 Henryk Fuks

We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of blocks of zeros, reducing the problem of preimage enumeration to…

Dynamical Systems · Mathematics 2007-05-23 Henryk Fuks

We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of blocks of zeros, reducing the problem of preimage enumeration to…

comp-gas · Physics 2009-10-31 Henryk Fuks

In this paper computer simulation results of higher order density correlation for cellular automaton models of traffic flow are presented. The examinations show the jamming transition as a function of both the density and the magnitude of…

Statistical Mechanics · Physics 2009-10-31 L. Neubert , H. Y. Lee , M. Schreckenberg

We have developed a Nagel-Schreckenberg cellular automata model for describing of vehicular traffic flow at a single intersection. A set of traffic lights operating either in fixed-time or traffic adaptive scheme controls the traffic flow.…

Cellular Automata and Lattice Gases · Physics 2008-09-23 M. Ebrahim Foulaadvand , Sommayeh Belbaasi

We consider a car-following model described by a delay difference equation and give its exact solutions that present propagation of a traffic jam. This model is a discrete-time version of the delayed optimal-velocity model; in the continuum…

Cellular Automata and Lattice Gases · Physics 2015-09-29 Keisuke Matsuya , Masahiro Kanai

Statistical mechanics of a small system of cars on a single-lane road is developed. The system is not characterized by a Hamiltonian but by a conditional probability of a velocity of a car for the given velocity and distance of the car…

Physics and Society · Physics 2009-11-13 Anton Šurda

Autonomous vehicles are essential to future transportation systems, potentially reducing traffic congestion. This study examines the impact of different vehicle control strategies on traffic flow through simulations. We propose a novel…

Cellular Automata and Lattice Gases · Physics 2025-09-08 Kayo Kinjo , Akiyasu Tomoeda

Accurate modeling of lower-level controller plays an important role in the traffic flow of automated vehicles (AVs). However, there lacks enough attention with this respect. To address this issue, we conduct a field experiment with two…

Physics and Society · Physics 2022-11-01 Hua-Qing Liu , Shi-Teng Zheng , Rui Jiang , Junfang Tian , Ruidong Yan , Fang Zhang , Dezhao Zhang

In this work we propose a car cellular automaton model that reproduces the experimental behavior of traffic flows in Bogot\'a. Our model includes three elements: hysteresis between the acceleration and brake gaps, a delay time in the…

Statistical Mechanics · Physics 2009-11-10 L. E. Olmos , J. D. Munoz

We present a traffic model that extends the linear car-following model as well as the min-plus traffic model (a model based on the min-plus algebra). A discrete-time car-dynamics describing the traffic on a 1-lane road without passing is…

Optimization and Control · Mathematics 2011-08-19 Nadir Farhi

We examine a simple two lane cellular automaton based upon the single lane CA introduced by Nagel and Schreckenberg. We point out important parameters defining the shape of the fundamental diagram. Moreover we investigate the importance of…

Condensed Matter · Physics 2015-06-25 Marcus Rickert , Kai Nagel , Michael Schreckenberg , Andreas Latour

We propose three models for the traffic of vehicles within a network formed by sites (cities, car-rental agencies, parking lots, etc.) and connected by two-way arteries (roads, highways), that allow forecasting the vehicular flux in a…

Physics and Society · Physics 2017-10-25 Dino Otero , Diógenes Galetti , Salomon S. Mizrahi

Managed lanes, such as a dedicated lane for connected and automated vehicles (CAVs), can provide not only technological accommodation but also desired market incentives for road users to adopt CAVs in the near future. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2021-02-09 Zijia Zhong , Joyoung Lee , Liuhui Zhao

A probabilistic cellular automaton for cargo transport is presented that generalizes the totally asymmetric exclusion process with a defect from continuous time to parallel dynamics. It appears as an underlying principle in cellular…

Statistical Mechanics · Physics 2010-06-25 Marko Woelki

The Nagel-Schreckenberg model is a simple cellular automaton for a realistic description of single-lane traffic on highways. For the case $v_{max}=1$ the properties of the stationary state can be obtained exactly. For the more relevant case…

Statistical Mechanics · Physics 2009-10-31 Andreas Schadschneider

In this paper, a multi-lane multi-population microscopic model, which presents stop and go waves, is proposed to simulate traffic on a ring-road. Vehicles are divided between human-driven and autonomous vehicles (AV). Control strategies are…

Heavy traffic congestion daily occurs at merging sections on highway. For releasing this congestion, possibility of alternative configuration of vehicles on multiple-lane road is discussed in this paper. This is the configuration where no…

Physics and Society · Physics 2013-05-29 Ryosuke Nishi , Hiroshi Miki , Akiyasu Tomoeda , Katsuhiro Nishinari
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