A New Approach to Kinematic Waves in Traffic Flow

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概要

• 論文の詳細を見る

• Based on the equation of continuity, a cumulative number function of cars, φ, which is analogous to a stream function in fluid mechanics, is defined as follows; q and k stand for the flow and the car density, respectively. Various functional assumptions between q and k, yield various fundamental equations for φ. The analytical solutions subject to the initial or the boundary condition are given for the following cass: (i) q=4k(1-k) with k=_kH(x_0-x) at t=0, (ii) q=4k(1-k) with k=ε(1+cosαx) at t=0, (iii) q=4k(1-x) with q=a+bt at x=0, (iv) q=4k(1-k)(1-βx) with k=k_0 at t=0. It is shown that both expansion and compression shocks are possible and a few general relations for shock waves are obtained. Finally, extension to an axisymmetrical case is briefly discussed with a simple example ot a constant density at the initial moment.

• 社団法人日本物理学会の論文
• 1972-09-05

著者

• Hida Kinzo

  Institute Of Transportation And Traffic Engineering University Of California At Berkeley:university Of Osaka Prefecture:department Of Mathematical Sciences College Of Engineering

関連論文

• A New Approach to Kinematic Waves in Traffic Flow

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