The Exactly Solvable Simplest Model for Queue Dynamics

Details The Exactly Solvable Simplest Model for Queue Dynamics The Exactly Solvable Simplest Model for Queue Dynamics

1996-06-07

arxiv.org/abs/patt-sol/9606001v1

Nonlinear Sciences

Pattern Formation and Solitons

10 pages (LaTeX), 5 figures (eps-files)

Scientific paper

We present an exactly solvable model for queue dynamics. Our model is very
simple but provides the essential property for such dynamics. As an example,
the model has the traveling cluster solution as well as the homogeneous flow
solution. The model is the limiting case of Optimal Velocity (OV) model, which
is proposed for the car following model to induce traffic jam spontaneously.

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