I am in avelas so I am davening from the amud three times a day except Shabbos & holidays. If there are other chiyuvim we split the davening up. If they want to do the whole thing I let them, it not worth the fighting. Although once when a stranger came in right before davening and wanted to replace me, I just spoke to a couple of friends and had a minyan in a side room which was allowed in that shul.
Before this I would daven for the amud, Shachris usually Sunday, Mincha at work at least twice a week. If you wait around until someone volunteers to go up it can take a few minutes, so in order to speed things up we setup a rotation as to who goes up and this way we can get to work on time.