Possible Network Issues

Separate from the issue I mentioned earlier today; we are experiencing some odd errors where one or more players may be mysteriously disconnected from the Minecraft server. Other players may remain connected to the server, but the players who were disconnected cannot reconnect for up to a minute. During this time, their internet connection appears to work just fine otherwise; just the server is unavailable. Its an interesting issue, and I just now managed to get a packet-capture of the network stream as the issue occurs. I am in the process of breaking down the packets to figure out where the issue is.