RMPE...tough position for asphalt only, unless you are in a cold climate. The condition you describe is a bearing capacity failure of the asphalt, contributed by a condition of the asphalt known as "tenderness". You can play with the mix design (lower the asphalt content, increase the aggregate size), but you'll compromise the laydown capability and increase the permeability of the asphalt.
I would recommend an aging period for the asphalt; however, it usually takes a complete season cycle for this to work (placed in hot weather, goes through winter, back to hot)....most projects/clients don't have this kind of time to wait. That's why the usual (and probably the best) solution is to use a concrete "dolly strip".