This study tests a static traffic assignment method, a heuristic dynamic model, and an instantaneous dynamic user-optimal (DUO) traffic assignment method. The testing network of Taiwan north region consists of 79 traffic zones, 994 nodes and 2373 links. The major findings of the study are summarized as follows: (1 ) static and dynamic traffic assignment methods produce different traffic flow patterns, (2) dynamic traffic assignment methods can describe timely changes of traffic flow patterns, (3) the computational efforts spent on the DUO dynamic traffic assignment method is very large, and(4) the heuristic dynamic method is capable to produce a reasonable dynamic solution quickly so as to avoid complicated computing for the dynamic traffic assignment method.