I am assuming that you are asking how I got the conclusion of big ship vs small ship ratio affected by ship construction tech.
Yep.
Basically, each 1 kton you add to a ship, adds 10% of your base construction rate to the build rate of the ship.
If by "adds 10% of your
base construction rate", you mean the rate without shipbuilding tech researched, I believe that this is not the case. My recollection is that the Build Rate Multiple (RHS version
) multiplies the
current shipbuilding rate, and I don't see anything in Steve's post to contradict this.
So the size of your ship that can be finished in reasonable time decreases and therefore you can build bigger ships.
Small ships are even slightly less efficient. (small ships have higher ratio of armour, crew and fuel tank to engines and systems compared to big ships)
To put it in concrete terms, let's say it takes 1 year to build a particular 5kton design. For a 15kton design (that costs exactly 3x), it should take 1.5 years (3x the cost, but the rate is twice as fast since I just happened to pick numbers that give a total factor of 2).
You then research enough shipbuilding tech so that the original design only takes 8 months to build. The 15kton design should take 1 year to build, i.e. 1.5 times 8 months. If you're saying something different from this then we'll have to go back to the original thread and see.
John
PS - BTW, I'm pretty sure there's a subtlety in the formula Steve posted. My recollection of the original thread is that he put in protection against getting a speed-up by building tiny ships in a high-capacity SY. In other words, the 5kton design at the original build rate would still take a year to build even if you built it in a SY with capacity of 15kton. So the formula he gave is probably the best case build rate. You should use ship size rather than capacity in the formula to get actual build rate.