Okay so when I said first started playing this game, the performance was great, the battery was never touched practically, and it never crashed so I was puzzled why there were people complaining that this game crashed a lot on them. At least until I hit 100 dwellers in my vault that is. When I hit the 100 dweller Mark, I noticed that the game was very laggy on responses, my battery draining faster, my phone heating up, and random crashes. This behavior increases as I add more dwellers. I'm using an iPhone 6 Plus with no other apps open now, and it still has performance issues. Now we know why there is a 200 dweller on this game.
Hoping for the next update to enhance performance.