I think that you need an actual goal to be effective. If it's keeping yourself amused, a sorting algorithm is hardly necessary. If it's keeping abreast of cutting-edge research in a few specific fields, it's going to be very different than trying to learn the basics in a large number of diverse fields. It also depends heavily on if you're working with a set amount of stuff to read or a set timeframe to read it in (I'm guessing the former). This is an interesting hypothetical problem, but it's hard to specify a real solution without some idea of what type of efficiency you are trying to maximize.

That said, I heartily recommend bookmarking all of the websites you frequent and then putting all those bookmarks into a folder on your toolbar in Firefox; you can then simply right-click "open all in tabs" and have one window window with everything you want to read, and you can easily close anything without new or interesting content.