This is actually pretty common these days and it works pretty well. Concrete is a shitty top surface, but an amazing pavement base because it will not move.

The problem deals with poor expansion joints in the concrete. Concrete PCCP is built in 12 x 15 sections, and between each are footlong* 1.5" thick rebar stuck into the joints like stitches. This allows for greater stability while the concrete expands over time, which it always will do.

So these expansion joints are where your bu-bumps happen, and it sucks. I'm from Kentucky, I know exactly what you mean. Fuck Gene Snyder lol. Paving over concrete with asphalt is fine, but if you have any really bad expansion joints, they need to be completely removed in a fairly large section so that they can be patched with minimal noticeable smoothness effects.