Hi. The trouble you're having is common amongst most players. Some solutions to the problems you describe would be: 1. If you have any wireless devices like a headset, check to see if they interfere with your internet router. 2. If you are on Xbox one. There is a feature which allows you to hard reset your Xbox. This does not remove any progress, it simply refreshes the console. To do so, hold down on the power button on the front of the Xbox until it goes black, wait for 10-30 seconds then press the power button again. 3. If any of these solutions don't work, try contacting bungie for help. Hope this helped.

I have been having similar issues during Iron Banner last week. I assume Bungie is still trying to solve the connection issues players are still experiencing even after their hot fixes weeks prior. It's an ongoing situation that Bungie will always be working on to reduce disconnections.