BT HomeHub2 Randomly Dropping Devices

Question

So, we've been using BT broadband for a good few years now, and an interesting problem keeps cropping up. Occasionally the router will refuse to allow a particular device to connect to it via wireless for a period of time (somewhere between a few minutes and a few hours). After this time, the router continues to work as though nothing at all had happened, with nothing out of the ordinary appearing in the event log, and the other devices don't show any connection problems whilst this is happening. Using the automatic setup CD just makes things worse, since when it fails to connect to the router we specify, it instead connects to the nearest BTOpenZone hotspot, then claims to be working when it is still impossible to connect to our own router.
The router still shows up in the wireless network list, and attempting to connect to it doesn't return any error messages, the process just halts after about a minute of "waiting for the wireless network". The first time we had this problem, we rang up the BT helpline who gave us some slightly nonsensical answer about the HomeHub only being able to accept connections from a maximum of three devices at any one time, so rather than asking them again to get exactly the same fairly useless answer, I'm putting the question here. Why does the HomeHub2 randomly drop people from the network, and how do we stop it?

Answer 1

Well, I assumed that the disk would just attempt to connect me to the wireless and nothing more, and when you're trying to fix a problem that nobody else believes exists, you'll try pretty much anything.
The issue, though, is not with connecting from the hub to the internet. The hub never has any major problems with that (other than occasionally deciding that 40% packet loss is the way to go). The issue is that it will drop one of our computers from its network at random, but do nothing to any of the others, and then refuse to allow that one computer to reconnect to it.