Hello everyone! I has that same issue with my Home Hub 3000. The first time a technician came and found the 'issue'. It was caused by my *wired* Xbox One.
In my case, the logs of the HH was really helpful as it showed a strange behaviour on one of the ethernet port. Exactly those lines :
"A device has been disconnected from an Ethernet port (3)"
Follow 3 seconds after with : "An Ethernet port is now connected (3/100/FULL)".
The log level of those linea are 'INF' and it occurs just beforr the reboot.
Recently, I connected my Sony smart TV to the HH... It last 2 days before the issue resurfaced.
So the 'fix' is to disconnect those wired devices. Hope it works for you!
this modem cost around 300$. And you can't connect tv and xbox to it? Serioulsy. Bell changed my modem and I have ALL the ports connected to a tv, a bluray player, another router, etc. everything is fine.