### Speed modules are sometimes more efficient than Efficiencies

Posted:

**Mon Apr 30, 2018 8:27 pm**For instance, if you have an Assembler 3 and you want to have 3 "Productivity Module 3"s in it, adding an "Efficiency 3" module to the 4th slot makes the machine less efficient than adding a "Speed 3" module instead! This is rather counter-intuitive.

Or, if you have a single Assembler 3 filled with Prod3s, and then you're surrounding it by Beacons, it's always more efficient to put Speed3s in the Beacons. It's actually more efficient to remove Beacons than to put Efficiency 3 modules in them. This perhaps makes more sense because of large power usage of the Beacons.

Here's the math:

For the single Assembler 3 with no Beacons. With 3x Productivity3s and 1x Efficiency3, the crafting speed is 0.6875, productivity is +30%, and power consumption is 0.609 MW. So (assuming a recipe takes 1s to complete) you're getting 0.6875 * 130% / 0.609 = 1.47 items per second per megawatt. With 3x Productivity3s and 1x Speed3, the crafting speed is 1.3125, productivity is +30% and power consumption is 0.860 MW, so you're getting 1.3125 * 130% / 0.860 = 1.98 items per second per megawatt. That's 35% more efficient!

For the case of a single Assembler 3 filled with Prod3s and unlimited beacons around it, it's a little more complicated. You end up with the efficiency function of 1.75 * (0.5 * s + 0.4) / (0.48 * (s + e) + 0.21 * max(0.2, 0.7 * s - 0.5 * e + 4.2) ), where "s" is the number of beacons you decided to fill with 2x speed3 modules, and "e" is the number of beacons you filled with efficiency3 modules. I can't be bothered to do proper analysis on this, but it turns out that generally it's best not to add any efficiency modules ever (in this scenario of course).

Or, if you have a single Assembler 3 filled with Prod3s, and then you're surrounding it by Beacons, it's always more efficient to put Speed3s in the Beacons. It's actually more efficient to remove Beacons than to put Efficiency 3 modules in them. This perhaps makes more sense because of large power usage of the Beacons.

Here's the math:

For the single Assembler 3 with no Beacons. With 3x Productivity3s and 1x Efficiency3, the crafting speed is 0.6875, productivity is +30%, and power consumption is 0.609 MW. So (assuming a recipe takes 1s to complete) you're getting 0.6875 * 130% / 0.609 = 1.47 items per second per megawatt. With 3x Productivity3s and 1x Speed3, the crafting speed is 1.3125, productivity is +30% and power consumption is 0.860 MW, so you're getting 1.3125 * 130% / 0.860 = 1.98 items per second per megawatt. That's 35% more efficient!

For the case of a single Assembler 3 filled with Prod3s and unlimited beacons around it, it's a little more complicated. You end up with the efficiency function of 1.75 * (0.5 * s + 0.4) / (0.48 * (s + e) + 0.21 * max(0.2, 0.7 * s - 0.5 * e + 4.2) ), where "s" is the number of beacons you decided to fill with 2x speed3 modules, and "e" is the number of beacons you filled with efficiency3 modules. I can't be bothered to do proper analysis on this, but it turns out that generally it's best not to add any efficiency modules ever (in this scenario of course).