A SIMPLIFIED THEORY OF KINEMATIC WAVES IN HIGHWAY TRAFFIC, PART I: GENERAL THEORY

@inproceedings{Newell1993AST,
  title={A SIMPLIFIED THEORY OF KINEMATIC WAVES IN HIGHWAY TRAFFIC, PART I: GENERAL THEORY},
  author={G. F. Newell},
  year={1993}
}
In the theory of "kinematic waves," as described originally by Lighthill and Whitham in 1955, the evaluation of the shock path is typically rather tedious. Instead of using this theory to evaluate flows or densities, one can use it to evaluate the cumulative flow A(x, t) past any point x by time t. It is shown here how a formal solution for A(x, t) can be evaluated directly from boundary or initial conditions without evaluation at intermediate times and positions. If there are shocks, however… CONTINUE READING

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