On a discrete optimal velocity model and its continuous and ultradiscrete relatives

• Takahashi Daisuke

  Department of Applied Mathematics, Waseda University

• Matsukidaira Junta

  Department of Applied Mathematics and Informatics, Ryukoku University

抄録

We propose a discrete traffic flow model with discrete time. Continuum limit of this model is equivalent to the optimal velocity model. It has also an ultradiscrete limit and a piecewise-linear type of traffic flow model is obtained. Both models show phase transition from free flow to jam in a fundamental diagram. Moreover, the ultradiscrete model includes the Fukui--Ishibashi model in a special case.

収録刊行物

• JSIAM Letters

  JSIAM Letters 1 (0), 1-4, 2009

  一般社団法人 日本応用数理学会

キーワード

• optimal velocity model
• discrete model
• ultradiscretization

詳細情報

• CRID: 1390001205301132160
• NII論文ID: 130000104496
• DOI: 10.14495/jsiaml.1.1
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/1/0/1_0_1/_pdf
• 本文言語コード: en
• データソース種別:
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  • Crossref
  • CiNii Articles
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• 抄録ライセンスフラグ: 使用不可