A packet-signaling relay device selectively relays incoming signal packets, and includes a random number generation unit which generates a random number, a delete threshold generation unit which generates a delete threshold based on an objective delete probability, a comparison unit which compares the random number and the delete threshold to generate a comparison result, and a delete determination unit which generates a delete/storage determination result based on the comparison result. The packet-signaling relay device further includes a packet receiving-and-storing unit which is responsive to the comparison result to selectively delete or store incoming signal packets, and a sending unit for sending the signal packets stored in the packet receiving-and-storing unit.