1) OK, I concede this one, certainly we can use profiling to get an idea of what a given function's performance curve looks like. We just need some notion of how to vary the size of the inputs in a controlled way when profiling, and then we need to look at the curve and decide what kind of curve we're seeing, and
then we need to actually run the statistical software to calculate the precise terms of the curve.
To my knowledge, the middle step is actually the hardest. I'm no statistician, but do we have math/software that can look at a curve and distinguish a logarithmic function with little error in the data from a linear function with lots of error in the data?
>2) Not really. You've used current thinking to define your business model. Think disruptive instead. And worst case you'd end up spending Ycombinator money and end up with a better CV.
The man-years here are the dominant cost. A SSC falls outside the start-up business model of releasing a "Minimum Viable Product" and all that jazz. You can't build a minimum SSC without building most of the whole thing.
That doesn't mean I wouldn't take someone's money to do it, but I'd be asking for a research-project budget, not an equity investment that has to be "ramen profitable".
Besides, I prefer home-made vegetable curry to ramen any day ;-).