On a particular outing, I give up on a ball pretty quick. With todays modern equipment, it becomes apparent in a hurry because, if a ball iis the right one at the time, you will strike and hit the pocket very frequently. If it looks decent, but doesn't strike, there is a reason. If you fight it and try to continue to figure it out, you will waste frames trying to get something from nothing.
As for when I decide to actually do away with a ball? If, after several attempts on different lanes, on different nights, the ball just never seems to match up with anything, I'll retire it and move on. I like to try out different equipment. Most will eventually work somewhere, but there are some that never do. Those that don't work become evident pretty quickly.