A wireless apparatus for use in a communication controlling system, the communication controlling system comprising the wireless apparatus and a base station, the wireless apparatus being arranged to transmit a connection request to the base station and receive a temporary connection reject signal from the base station, the temporary connection reject signal carrying a first waiting duration, the wireless apparatus being characterized by comprising: a transceiver, wherein the wireless apparatus is arranged to enter a connection setup communication procedure after the transceiver transmits the connection request; and a processor electrically connected to the transceiver, being arranged to initiate a connection response window duration after the connection request is transmitted by the transceiver, wherein the temporary connection reject signal is received by the transceiver within the connection response window duration, the temporary connection reject signal is used to indicate that one of the base station and an evolved packet core network is in an overload status currently and is unable to accept the connection request of the wireless apparatus temporarily, the wireless apparatus is arranged to enter the first waiting duration after the temporary connection reject signal is received by the transceiver, the wireless apparatus is arranged to enter a temporary waiting status during the first waiting duration, and the wireless apparatus is arranged to stay in the connection setup communication procedure in the temporary waiting status; wherein the temporary waiting status is a status in which the wireless apparatus is waiting to set up a connection with the base station, the temporary waiting status of the wireless apparatus in the first waiting duration is a power-saving status; wherein the wireless apparatus is arranged to recover from the power-saving status when the first waiting duration expires, the transceiver is arranged to wait for a connection setup signal from the base station after the first waiting duration has expired but before the connection response window duration expires. a transceiver, wherein the wireless apparatus is arranged to enter a connection setup communication procedure after the transceiver transmits the connection request; and a processor electrically connected to the transceiver, being arranged to initiate a connection response window duration after the connection request is transmitted by the transceiver, wherein the temporary connection reject signal is received by the transceiver within the connection response window duration, the temporary connection reject signal is used to indicate that one of the base station and an evolved packet core network is in an overload status currently and is unable to accept the connection request of the wireless apparatus temporarily, the wireless apparatus is arranged to enter the first waiting duration after the temporary connection reject signal is received by the transceiver, the wireless apparatus is arranged to enter a temporary waiting status during the first waiting duration, and the wireless apparatus is arranged to stay in the connection setup communication procedure in the temporary waiting status; wherein the temporary waiting status is a status in which the wireless apparatus is waiting to set up a connection with the base station, the temporary waiting status of the wireless apparatus in the first waiting duration is a power-saving status; wherein the wireless apparatus is arranged to recover from the power-saving status when the first waiting duration expires, the transceiver is arranged to wait for a connection setup signal from the base station after the first waiting duration has expired but before the connection response window duration expires.