Main aspect of the question: It\'s about iOS. Can I somehow dispatch code blocks in a way, that they will all (a) run in background and (b) on the same thread?
You can either use NSOperationQueue with a MaxConcurrentOperationCount of 1 or go the manual way down the road by using NSThread model (rather than Grand Central Dispatch).
Using the latter I would recommend you to implement a worker-method which runs in a thread and pulls work-packages (or commands) from a queue or a pool that is being feed from outside of the thread. Just make sure you use Locks / Mutex / Synchronisation.