Greyhound therapy
n. Providing a homeless person or mentally-ill patient with a one-way bus ticket to another city.
Weston was committed to a Montana mental hospital later that year but was released with a prescription and a bus ticket to his native Illinois. "Greyhound therapy," as they say.
—Tom Teepen, “Public policies enable unfit to play with guns,” The Atlanta Journal and Constitution, August 02, 1998
Wedekind denies his hospital would have left Lyon at a bus station without appropriate plans for continued treatment. "It would be really unusual for us to do that kind of discharge planning," he said. "It certainly wasn't Greyhound therapy with our discharge plan."
—Carol Marbin Miller, “'I feel so angry at the system',” St. Petersburg Times (Florida), October 22, 1996
1984 (earliest)
Los Angeles, like Washington, receives many of the victims of what mental health workers call "Greyhound Therapy," Farr said.

"Across the country community governments will give mental patients or convicts a one-way bus ticket anywhere they want on the day of their release," he said
—Alma Guillermoprieto, “Streets Called 'Asylums Of the '80s' at Conference on Homeless,” The Washington Post, April 26, 1984