  We study tunneling processes of Bose-Einstein condensate (BEC) on the real
time stochastic approach and reveal some properties of their tunneling time. An
important result is that the tunneling time decreases as the repulsive
interatomic interaction becomes stronger. Furthermore, the tunneling time in a
strong interaction region is not much affected by the potential height and is
represented by an almost constant function. We also obtain the other related
times such as the hesitating and interaction ones and investigate their
dependence on the interaction strength. Finally, we calculate the mean arrival
time of BEC wave packet and show the large displacement of its peak position.
