One-Dimensional Traffic Flow Problems:A Microscopic Approach

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概要

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• A microscopic approach to one-dimensional (10) celltrlar automaton traffic flow models ispresented. Starting froun an equation describing the time evolution of the Boolean variable,which describes whether a site is occtrpied by a car or empty, defined on each site and using adecoupling approximation, an equation relating the average speeds v(t f l) and vat) is obtained.This relation can be treated as a dynamical trapping between the average speeds v(t f 1) andv(t). The average speed in the long time limit can be obtained by studying the attractors ofthe naapping and their stabilities. The approach is also applied to models with random delays.Restrlts that are in agreement with simulation data and previously proposed mean field theoriesusing macroscopic considerations are obtained. Our approach thus represents a microscopicmethod of deriving mean field theories with the advantage that controllable approximations canbe introduced step by step.

• 1997-05-15

著者

• Hui P.M.

  Department of Physics, The Chinese University of Hong Kong

• Wang B.h.

  Center Of Theoretical Physics Ccast (world Laboratory) Beijing China:department Of Modern Physics And Center Of Nonlinear Science University Of Science And Technology Of China

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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