As a NYer, just wondering where you heard this? If true, my opinion of Bloomberg just went up even more.
I have no idea if the article is cherry-picking unrepresentative positive examples, though. To determine if it's solving or just shifting the problem, it'd be interesting if there were any statistics on what % of people NYC bought one-way tickets for were homeless again N months or years afterwards, vs. in a more stable situation. Admittedly it's probably quite difficult to collect reliable data on that.
[citation needed]
And stop ducking the question, genius. Are you really trying to tell us that the solution to your homelessness problem is to bus people who you magically somehow don't think are from your area clear across the country to a place they almost certainly aren't from?