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Set up a single line, and space out splitters to branch resources into your machines. Use mergers the opposite way, with a single belt merging in resources from all your machines. It's an easy setup and will serve you well.
Reverse that with mergers. 3 lines of 40 coming into one Merger, then the out going line you would want at least Mark 2 belt to carry the 120 items per minute it will have merged.
Hope that helped.
:)
Then skip to mk3 belts and be happy.
But the theory is the same. What ever the speed is of the line that goes in the splitter; divide it by how many lines you have coming out, that gives you the new speed you have of parts per minute of each line.
Unfortunately that means merging all my pools of a resource into one to more easily split it isn't a possibility, but I can at least merge them into a few larger pools and I will just have to pay careful attention to the rates of everything in one pool/line in order to try to maximize efficiency.
Considering that, if I have a merged belt of 60 iron ingots go into three constructors with a splitter, one consuming 30, and two 15, would it automatically distribute that properly (aka 30 iron down the 30 line, 15 each down the two 15 lines), or would it overflow the two 15 lines before putting the rest down the 30 line? The game does seem to optimize some things automatically, like how excess power production will be reduced down to the amount needed to save on fuel, but I don't know if it applies there.
For example: you are using 5 smelters and 10 constructors further away. It might be better to have them all merge into 1 belt before dividing it up into the 10 constructors to save space from having to make 5 belts from smelters.
Efficiency will rise as you progress through the tech tree. Mk 3. is the easiest since you will mass produce steel. You will likely rebuild your base once when you enter the steel production and again when you enter aluminum sheet.
So use two splitters. First one splits 60 input into two 30 outputs, do not use the 3rd output. Second splitter takes the other 30 output and turns it into two 15 outputs. Then you have your ideal 30/15/15 split that keeps everything running at 100% efficiency.
I recommend against this. A "balancer" type system requires a lot more space, more math, and more time to build. It's also much more difficult to upgrade and repurpose later.
As long as a manifold is being fed the correct amount for its needs, and has adequate belt speeds throughout it (e.g., down the main "trunk"), it will eventually balance itself. Any downstream machine-starving is temporary.
Highly recommend checking out their manifold page.