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https://steamcommunity.com/sharedfiles/filedetails/?id=2859261320
Yes there is, end game with white cubes. The pilers allow some access to this before that point... And you can use pilers to stack up production items on there way to the next process.
I find going from a mark 3 belt, piler, mark 2 belt, piler, mark 1 belt works well. Especially if you can get enough products onto the Mk3 belt to cause a slight backlog. I normally do that pre a spray coater, just to get the most from my accelerants! 1 spray used on 8 items at the same time!
It's better to keep mk3 from piler #1 to piler #2, and just use mk2 belts to force the stacking to 4 high after the second piler. No need to combine belts in between, the piler #2 will accept the gaps on the mk3 belts at full speed and still stack to 4 high. That keeps your individual belt throughput at 30/s, and then you can combine four of those setups onto a mk3 belt if you actually need 120/s on a single belt.
Though it just seems overkill before you even have white science going. The only time I use the piler is for fractionation. Before white science I set the input up like this:
https://steamcommunity.com/sharedfiles/filedetails/?id=2859318329
The total loop pictured has twenty fractionators on it with a piler between each and a feed belt input after each piler to fill any gaps. This maintains 120/s through all twenty fractionators so they each output on average 1.2/s, so a total of 24/s return which means a 24/s input. Less than a full belt, no need to go crazy mixing multiple belts together. The two initial pilers only ever place 4 stacks onto the feed belt which is all you need. It takes a few minutes to saturate the process loop and the feed belt with only 30/s input, but it does the trick and maintains it perfectly.
As far as the spray coating goes, I jumped into sandbox to check out if you really could get savings because I was curious. Built a setup with both arrangements and the proliferator usage measured by a traffic monitors showed no difference. Unfortunately you use the same amount stacked or unstacked. The usage is based purely on the item throughput.
The way to set it up on a single belt is like this:
MK3 belt > piler > MK2 belt > piler > MK1 belt
that should give you 1440 items per minute on the MK1 belt
The reason this works even with the gaps is that the mk2 belt backs up the piler. The piler cannot output 30/s double stack onto the 12/s mk2 belt because that would only be 24/s so it is delayed and allows the next double stack to enter which it stacks up to 4 and away you go.
30/s stacked 4 high is 7.5 stacks per second, on a belt moving 12/s is why the gaps look irregular or stuttering on the mk2 belt at full speed.
It also works in my setup on a single belt if they needed less throughput. My point is there cannot be gaps in the belt in order to trigger stacking.
Seriously, don't use them.