This has worked for a while now and it makes queuing for LFR way less irritating since you don't have to stare at the screen for 30+ minutes as a dps waiting on it to pop. The way that queues work now are that you can have multiple things queued at once (BG, Dungeon, etc.). The queues will pause when you are taking part in another queue related activity. This means that you will technically still be in queue. What this means is that there are several ways to manipulate your queue.
The Most Efficient:If you are a warlock and have the green fire quest you have the option to go into the black temple scenario. Join your LFR queue and enter the scenario. You can now go afk without any worry (well besides the system kicking you for being inactive too long but this can be fixed by an anti-afk program or similar thing). When you are back at your computer or believe that you have been in queue for long enough, simply exit the scenario. It may take a second to register that you have been in the queue for that amount of time, but once it does you will be at the top of the list for the queue.
The Non-Warlock Method:I'm sure that there are many other ways but one that I have found are pet battles. You do everything the same as above except with pet battles. One issue that I have found however is that you might get kicked from a pet battle after a certain amount of time for being inactive. To get around this just end the battle and start a new one every now and then. This method is still helpful if you are just alt-tabbing during queues.
This method is more obvious. What you can do to avoid just sitting in your capital city during LFR queues is simply queue up for something else that is quicker. These include arenas, bgs, and scenarios. This will give you the option of doing something else instead of gouging your eyes out watching the group slowly fill up.
The Non-AFK Method:
Thanks for reading my post. If you have any questions or input on the different methods be sure to leave a comment. Thanks