What you describe (act, schedule, delegate, delete) looks like 'ranking' to me. Under 'classification' I'd understand a seperation without ranking entities. And that at least falls under the request of OP (whether it satisfies it or not).
What I don't understand about your comment is the similarity to your scheme that just has the 'cost' dimention addionally. The 'cost' doesn't make the entities any more 'rankable' though. So why wouldn't I apply your critic to your own proposed system?
This comment is not in bad faith. I'm just a little confused about your point. If you have some sort of experience or qualification in this field, I'd be happy to be corrected.