I had a couple machines where I used OpenVZ and recently, on newer versions of Debian (Jessie), I've been using LXC.
I need a way of giving one container priority on host I/O resources, I could do this on OpenVZ and I find that I can do this with LXD only (which from what I know, only works on Ubuntu) with:
lxc config set my-container limits.disk.priority 10
But as Debian doesn't have LXD, is there a way I can prioritize I/O using LXC in Debian Jessie?