Go back to Carlos Daganzo's Publications PageThis paper presents a remarkably simple physical principle that can be used to solve the kinematic wave problem for freeways with special lanes and priority vehicles. The principle is shown to yield the flows for all possible "Riemann problems", so that its application in a simulation is equivalent to the Godunov "classic" finite difference approximation method.
The principle is appealing because its physical basis, unlike purely mathematical formulae, suggests a natural way in which boundary conditions for practical problems should be treated. This should prove rather useful for solving general problems; e.g. involving multicommodity networks.
As a first step in this direction, the paper shows how to
treat the beginning and end of a segment with special lanes, and
an inhomogeneous highway as well. An example that illustrates
these concepts and the accuracy of the procedure is also
presented.
Go back to Carlos Daganzo's Publications Page