By introducing a bead-group energy of adsorption with the grafting surface, we simulate the grafted polymer layer including chain exchange with the bulk solution using the bond-fluctuation model. The kinetics of adsorption is relatively rapid n short times and becomes much slower in later time as the layer is formed. rhe self-adjusted surface coverage is measured for different values of chain lengths and head-group energies. We also found that the polymer chains in a grafted layer are replaced by introducing shorter chains of identical head groups, which is also observed in recent experiments.