I tried most of the tricks explained in the OSXdaily page, excepts setting up a new location, as I found that just too weird... nothing really worked:
- resetting the SMC
- clearing the PRAM
- playing with the bluetooth (which was a pain as I have my mouse & trackpad relying on it...)
- removing all USB3.0 peripherals
As I was about to try the new location setup, I decided to download the Combo 10.10.3 update directly on the apple support website... that did the trick!
To be honest it's not 100% perfect. at startup my mac mini 2014 hooks on the Wifi & Internet very fast (I'd say normally fast). It's just that when the Mac is going out of sleep mode, it takes 10 to 30 second for it to hook onto the internet. That's therefore not perfect (thought I can't say if it comes from the mac or from my router) but that's definitely much better than before!!
I haven't tried to test if the internet connection was stable for a long time so far, but so far it looks like it is...