Good Bandaid but it'll take the path of least resistance. Some will be persistent and keep moving back. Others will find space in neighboring areas that will not be frequently swept. Maybe put aside a piece of unusable land in which they can move onto and have their own sub-Government...like Bumpy. There is probably some form of it for all we know. Maybe some group controls the corners where beggars plant themselves. A cut of the money they make goes to the house. Offer menial jobs in which they can earn. Of course there are no easy answers, but sweeps will only look good temporarily...or until money runs out.