Are Productivity Modules useful in Pumpjacks?

Question

In Factorio, when I surround a Pumpjack with Speed Module Beacons, should I insert Productivity Modules or Speed Modules into the Pumpjacks in order to get the most Crude Oil per second?

Tyler Shellberg · Accepted Answer

Productivity modules and beacons at first is best if you can produce sufficient oil with the pumpjacks you have. (If you can't meet demand, may want production modules + speed beacons) The amount of production it has before reaching its lowest point is limited - so you want productivity to make the most of it before it is gone.

However, once it reaches its lowest production (20% production of initial yield, or 2 oil per second, whichever is higher), you want to switch to all speed to maximize output. The oil is unlimited at this point, so productivity has no benefit over speed which will get you greater output.

EvgEnZh · Answer

Technically, due to how module effects stack, if you use 11 or 12 beacons per pumpjack, it would actually be slightly faster to add a single Prod3 than to fill all slots with Speed3.
However, that is assuming no "Mining productivity" research was done. With just 2 levels of it, even at 12 beacons using all speed is faster than adding any productivity. And you probably researched that much if you use 11+ beacons.
The formula for "crafts per second" is B*(1+0.1*R+0.1*P)*(1-0.15*P+0.5*S), where B is the base speed without bonuses, P is Prod3 count, S is Speed3 count, and R is Mining prod research level for miners and pumpjacks and zero for normal crafting. The first part is total productivity bonus, and the second is total speed bonus.

Are Productivity Modules useful in Pumpjacks?

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