The ideal for vines like posion ivy is a mix. Round-up will knock it back, but often not kill it permanently. triclopyr is the key for this. You can use a straight triclopyr or if you only have confront or something, use that.
Mix the two in the tank and you will have excellent control (assuming you have no turf to worry about).
Mix the two in the tank and you will have excellent control (assuming you have no turf to worry about).