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Traffic dynamics (traveling wave)

  1. Nov 30, 2010 #1
    The problem:
    You are given the problem of analyzing the dynamics of a line of cars moving on a one-lane highway. One approach to this problem is to assume that the line of cars behaves like a group of coupled oscillators. How would you set this problem up in a tractable way? Make lots of assumptions.

    Can anyone help me get started on this? I'm having trouble even setting up the differential equation.
  2. jcsd
  3. Dec 1, 2010 #2
    There is a write-up on traffic flow using first order PDEs in "Basic Partial Differential Equations" by Bleecker and Csordas. Try and find it in the library. This is the equation that is derived:


    Although maybe you're looking for just an ODE model.
    Last edited: Dec 1, 2010
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