In this paper, static user equilibrium assignment is calculated by Frank-Wolfe algorithm and dynamic user optimal assignment through traffic simulation. Both the assignment are performed on a small-scale network which contains a congested link umder the condition that inflow capacity into the link is subject to the relative offset. From the relationship between the offset and total travel time obtained through the traffic assignment based on the various offset conditions, it was found that the relative offset affect total travel time on the whole network and that optimal offset from a viewpoint of whole network exists.