The message you are seeing has to do with sending updates to the peer.
If they aren't getting ACK'd fast enough we start to queue. Once the
queue fills we fill up and can eventually exceed that sending BGP
queue.
If you have access to the far side, check TCP, input queues,
interfaces, ect. This is
Trying to work through an issue with an upstream where we're seeing
intermittent BGP session flapping. Once or twice a day we're seeing our BGP
session with that provider drop, then flap for anywhere between 5 minutes
and the better part of an hour. During the flapping if we enable debugging
on