For myself I know if I decide to eliminate something from my diet completely I begin to crave it all the time. But if I just try to cut back I do much better.
I am the same way. And I find that if I don't satisify that craving, I will eat everything in the cupboard trying to. If I crave ice cream, it is just as well for me to go out and buy a dixie cup - otherwise, I will eat crackers, cheese, bread, or anything else that I can find, all of which make it worse.
Isn't it funny how we never crave brocolli?? ;)