A simplified theory of kinematic waves in highway traffic, part III: Multi-destination flows

Suppose that one specifies the times at which vehicles enter each freeway junction and where (but not when) they will exit. The problem is to determine the cumulative flows past various points of the freeway, trip times, etc. To solve this problem, one must combine the equations of traffic dynamics for the total flow (for all origins and destinations) as described in Part II, with equations specifying that the trip time of a vehicle between two successive junctions is independent of its origin or destination. One must evaluate not only the total flow past each point but the component flows past each point for each destination. A solution of this problem based on the theory in Part II is fairly straightforward.