Influence of Velocity Variance of a Single Particle on Cellular Automaton Models

Daichi Yanagisawa (), Takahiro Ezaki (), Akiyasu Tomoeda () and Katsuhiro Nishinari
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Daichi Yanagisawa: Ibaraki University, College of Science
Takahiro Ezaki: School of Engineering, The University of Tokyo, Department of Aeronautics and Astronautics
Akiyasu Tomoeda: Meiji University, Meiji Institute for Advanced Study of Mathematical Sciences
Katsuhiro Nishinari: The University of Tokyo, Research Center for Advanced Science and Technology

A chapter in Traffic and Granular Flow '13, 2015, pp 495-503 from Springer

Abstract: Abstract We have developed a new calibration method to analyze the effect of velocity variance of a single particle (VVSP) on flow in cellular automaton (CA) models. We have verified that the flow in the totally asymmetric simple exclusion process (TASEP) decreases when VVSP increases even if the mean velocity of each particle is same. The effect of VVSP on other CA models, such as a stochastic Fukui-Ishibashi (SFI) model and a simple evacuation (SEV) model, are also investigated. When VVSP increases, the flow decreases in the one dimensional models (TASEP and SFI model), whereas, it increases in SEV model. Furthermore, it is investigated how the effect of VVSP is strengthened or weakened by the characteristic parameter in SFI model.

Keywords: Totally Asymmetric Simple Exclusion Process (TASEP); Simple Elimination (SEV); Calibration Method; Mean Velocity; Hopping Probability (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10629-8_55

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DOI: 10.1007/978-3-319-10629-8_55

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