Most of the previous dynamic traffic assignment models are Limited to
single destination networks. The reason is that link exit functions of
multiple destination flows are not formulated correctly. Since link e
xit functions of multiple destination flows have been formulated by Li
u and Kawakami (1993), the previous dynamic traffic assignment models
can be improved from many aspects by the aid of the link exit function
. In this paper, the constraint set of the dynamic traffic assignment
problem is qualified first. The qualified constraint set can be applie
d to any dynamic traffic assignment problem. Then a continuous dynamic
system optimum model and a discrete dynamic system optimum model are
presented. The model can be applied to dynamic traffic assignment for
multiple destination networks. Furthermore, an algorithm is developed
to solve the discrete model. Test examples show that the algorithm can
solve the discrete model efficiently.