Randomly disconnecting from xbox live

Alright guys, I have a pretty strange problem happening to my xbox 360, and I have no idea on how to fix it so i'm hoping that you guys know how to fix it. For some reason, my xbox has been randomly disconnecting, but for some strange reason it disconnects
on the 1st minute of every hour, like 1:01, 2:01, 3:01, 4:01, ect. I have no idea on why it does that, but for some reason, after unplugging the router and waiting 1 minute and plugging it back in so many times, it still disconnects randomly. Do you guys
know any way on how to fix it?

:)

 

Random account sign outs

Thanks, that seems to have also helped my second problem of randomly disconnecting from Xbox live.

 

Randomly getting disconnected from Xbox Live.

Today my xbox just started to randomly disconnecting from Live and I dont know why any help?

 

do you other devices disconnect too?

are you using wlan?

it may be some kind of energysaving mode on the router or so, wouldnt have a different idea