I had to separate a pig. It was a really hard decision.
Like the stories above, I had four female pigs, huge cage, everyone was eating and drinking from multiple locations. They lived this way for about 9-10 months, without incident. One day I found tufts of hair all over the cage. Long story short, one of my quietest, I-like-to-be-in-opposite-end-of-all-my-cagemates, had just flat out had enough of the younger pig that tries to be boss. The other two pigs accept the pigs dominance, no problem.
So I pulled the pig that actually did the biting. She is in her own 2x3, about 2 feet from the larger cage. Then I thought, "What now?". But after about a week, I noticed a huge change in both cages. All the pigs seem more relaxed, and the one alone doesn't sit in a corner all the time. She zooms, sniffs our hands instead of running, I no longer have to serve her food in her "tent". I've had her since she was a baby, and it seems like a complete personality change - she's happier, friendlier, out in open more.
I have not given up hope on my Lone Pig though. After a lot of observation and pondering, I am convinced she just really did not like the one pig that constantly has to show dominance. Since the other 2 accept it, I left the herd of 3 alone. But recently I just adopted a pig, and she is in quarantine/pregnancy watch. I think there is possibility there to find a friend for my Lone Pig.