I think a lot of factors could be ironed out by a solid mathematical grasp of the problem, instead of letting customers become guinea pigs or running simulation

I think a lot of factors could be ironed out by a solid mathematical grasp of the problem, instead of letting customers become guinea pigs or running simulations and then deduce a blanket solution that looks okay in those average cases, a room with a bunch of mathematicians will surely state the problem, limits and solution in a infinitely:) more solid way. I have seen this happening with software countless times, spend the money on a math ph.d and save endless testing time with half guessed solutions where limit cases are ignored...etc.