In one design, a method to change a network-assigning mechanism and to use a distributed UE-selecting mechanism with the minimum possible information transferred from the network to the UE is proposed. In particular, it provides mechanism to define a lower bound and an upper bound for the extended wait time. For instance, the method comprises transmitting a RRC connection request message to a network, wherein an establishment cause of the RRC connection request message is set to be delay tolerant or low priority; receiving information associated with a first wait time included in an RRC connection reject/release message from the network; and performing a radio access to the network with a delay which is determined based on a lower bound of the first wait time and a upper bound of the first wait time.