I found myself traveling from India, to China, to USA in a matter of a week. I ended up Terribly Jetlagged. So I created Jetlag.
Jetlag maps your sleep with Apple's Sleep API (Yet to be released) and creates notifications on when to take a nap based on sleep habits and artificial intelligence. This reduces fatigue and enables a smoother recovery.
Jetlag uses predictive learning to map one's circadian rhythm, enabling "Predictive Naps". Predictive naps are presented to the user as a push notification, "Take Nap" or "Dismiss". Tapping "Take Nap" creates a pre-set timer to resync one's body to their natural cycle.
This will also require Apple to open up their faces API