If Google are being clever about it (and you'd assume they are) then they would have tied ticket search into your Google Plus account, so multiple browser sessions would be of little help, private or not.
I would think you would need multiple Google+ accounts. Their language on the site says that connecting multiple times from the same account will reset your position in the queue.
yeah, that would have been the plan. But anyone has a ticket so far? Maybe their backend totally broke down.
From what I understand with talking to a few folks, they're released in batches of 100 or so every few minutes. So, in theory, it's possible to "run out of tickets" only to have another batch of them be released in the system a few minutes later.
I'm sitting in the queue and just got kicked back after 6 minutes and started the process again.
"Please don't open multiple tabs or use multiple browsers. Each time you open a new connection, your ticket search will restart."
I fear that would only add to the queue and make it worse.