2 papers
patt-sol1998
The exact solutions of differential equation with delay
K. Hasebe, A. Nakayama, Y. Sugiyama
The exact solutions of the first order differential equation with delay are derived. The equation has been introduced as a model of traffic flow. The solution describes the traveli…
patt-sol1996
The Exactly Solvable Simplest Model for Queue Dynamics
Y. Sugiyama, H. Yamada
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…