responsive to expiration of one of the plurality of keepalive timers, sending a keepalive packet to the client data processing system over a particular connection within the plurality of connections to the client data processing system, wherein the keepalive packet pertains to keeping alive the particular connection within the plurality of connections; and

responsive to receiving a selected response to the keepalive packet from the client data processing system, resetting the plurality of keepalive timers within the server data processing system, with each one of the plurality of keepalive timers being associated with a respective given one of the plurality of connections, wherein transmissions of keepalive packets are reduced to both the keepalive packet and the selected response, wherein the selected response keeps alive each of the plurality of connections to the client data processing system by the resetting of the plurality of keepalive timers, and wherein the plurality of keepalive timers that are reset responsive to the receiving of the selected response are identified by the server data processing system based upon an internet protocol (IP) address used during initial establishment of the particular connection between the server data processing system and the client data processing system.