Bulletin of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2432-1982
Cellular-Automaton Models in Jamology
Daichi YanagisawaKatsuhiro Nishinari
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2012 Volume 22 Issue 1 Pages 2-14

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Abstract
Jamology is a new scientific and engineering research, which deals with flow and jam of every self-driven particle in the world. One of the most famous models used in Jamology is Cellular Automaton (CA), where time, space, and state are discrete. In this paper, we introduce the essence and the contribution of CA models in Jamology. Traffic CA models succeed to reproduce meta-stable state, which is an essential phenomenon in real traffic, and show some results which can be applied to ease congestion at junctions and weaving sections. Besides, collaboration of CA and Queueing theory creates a new queueing model which gives us mathematically-exact solution useful for application. Furthermore, two dimensional CA models for pedestrians are extended in many ways to study how the specific characteristics of pedestrians affect on their flow. In the last section of the paper, we also discuss the scope of application of CA models.
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© 2012 The Japan Society for Industrial and Applied Mathematics
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