Is that a 12000 series?
If I'm understanding this 'router' thing correctly, its like a faucet connected to the series of tubes?
If not, exactly what role does this router thing play in tube interaction?
Your understanding is rather accurate but what your missing is the manifolds. You see, all the tubes connect to big manifolds with valves to control what gets sent where. At each manifold room there is some poor admin who is in charge of opening and closing valves in order to make sure that the right AOL gets sent down the right tube. In order to keep track of what tube to send your AOL down, the admin keeps a list of all the other manifold rooms and how to get to them. Some of the manifold room operators didn't have a wide enough notebook to write down the new directions so they just closed all of their valves and went home.
Perhaps they were just trying to load balance a 56k modem and a 10gb connection.
It wasn't just AS47868, it was kicked off by AS47868 sending real long routes like you can get to a by going through b, c, d, e, f