How to prevent thread starvation

I am writing a zero-latency cloud gaming server. It's a software pipeline. In the first stage we capture the screen and in the second stage we encode it to the video.

However after some amount of time the second stage freezes. I tried many platform-indepandent approach, but in vein, either of them will freeze eventually. The answer of How to prevent threads from starvation in C++11 stated that we should use mutex. I tried it. And it can last longer but it still freeze sometimes(rarely). I think mutex is not a explicit hint to prevent thread starvation too. (maybe I am doing wrong?)

Now I use mutex and disable Windows priority boost feature at the same time, but I don't like this solution at all. could anyone provide an example of starvation-free producer and consumer(better in C++11)?