Okay this is VERY vague, so let's specify better please
Your computer is wirelessly? Wired? To the Router?
You tried this same test WIRED to the router (Wireless on your laptop/desktop disabled) and still the same issue?
You tried the same test Wired to the Modem and still the same issue?
If so then it is your ISP and you need to contact them, maybe you have the cheapest internet and need to spend more money if your going to live stream videos OUTbound.
If your connections are good Wired, and only when your wireless on the router, then how many other users are on this router? Is this router properly secure your neighbor isn't hogging it all and causing it to 'reset'?
Then you move onto QoS (Quality of Service) enabling on all the devices connecting to the router AND inside the router itself. You would then have to setup that your Live Streaming is Prirority one, while everyone else is priority two. CAREFUL THIS PISSES PEOPLE OFF WHEN THEY CAN"T SURF BECAUSE YOUR HOGGING THE BANDWIDTH.
And there is more but you get the picture on doing more 'analysis' of the issue.