Upper Bounds for the Critical Car Densities in Traffic Flow Problems

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概要

• 論文の詳細を見る

• In most models of traffic flow, the car density p is the only free parameter in determining the average car velocity <υ>. The critical car density P_C, which is defined to be the car density separating the jamming phase (with <υ>=0) and the moving phase (with <υ>>0), is an important physical quantity to investigate. By means of simple statistical argument, we show that P_c < 1 for the Biham-Middleton-Levine model of traffic flow in two or higher spatial dimensions. In particular, we show that P_c≤11/ 12 in 2 dimension and P_c≤1-((D-1)/2D)^D in D(D>2) dimensions.

• 社団法人日本物理学会の論文
• 1995-09-15

著者

• Hui P.M.

  Department of Physics, The Chinese University of Hong Kong

• Chau F.h.

  School Of Natural Sciences Institute For Advanced Study

• Chau H.F.

  School of Natural Sciences, Institute for Advanced Study

• Woo Y.F.

  Department of Physics, The Chinese University of Hong Kong

関連論文

• Traffic Flow Problems in One-Dimensional Inhomogeneous Media
• One-Dimensional Traffic Flow Problems:A Microscopic Approach
• Upper Bounds for the Critical Car Densities in Traffic Flow Problems
• Effects of Announcing Global Information in a Two-Route Traffic Flow Model

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