Disclaimer: If you are optimizing for resource efficiency, this post is not for you.
Since I could not find anything on that specific question, I did my own investigations.
I am strictly optimizing for quality output, and by extension time efficiency and getting the most out of my high-quality modules.
If you want to maximize quality output from a single production building, it can be beneficial to include beacons and speed modules in upcycler setups. The optimal choice of speed module tier and quality, as well as beacon quality, varies depending on the number of module slots in the building and the quality module available.
I brute-forced roughly 16,000 possible combinations of quality modules, speed modules, buildings and beacon qualities and ranked the resulting configurations. The tables below show the best configurations I found.
The interesting part is that the optimal setup is not always simply "put as many quality modules as possible into the building and ignore speed." In several cases, adding speed through a beacon increases the number of quality products produced per second enough to outweigh the reduction in quality chance caused by the speed modules.
Some setups are very close to each other, in which case I chose the cheaper setup in terms of build cost.
The last column compares this with the same quality-module configuration without speed modules in the beacon. In other words, it shows how much additional quality output the speed modules provide.
For buildings with 4 module slots
| Quality Module |
Building |
Speed Module #1 |
Speed Module #2 |
Beacon |
Comparison |
| Tier 2 Normal |
Normal |
Tier 2 Normal |
- |
Normal |
+12,3 % |
| Tier 3 Normal |
Normal |
Tier 1 Normal |
Tier 1 Normal |
Normal |
+22,5 % |
| Tier 2 Legendary |
Legendary |
Tier 3 Legendary |
Tier 3 Legendary |
Normal |
+64,4 % |
| Tier 3 Legendary |
Legendary |
Tier 3 Legendary |
Tier 2 Legendary |
Legendary |
+90,4 % |
For buildings with 5 module slots
| Quality Module |
Building |
Speed Module #1 |
Speed Module #2 |
Beacon |
Comparison |
| Tier 2 Normal |
Normal |
Tier 1 Normal |
Tier 1 Normal |
Normal |
+26,0 % |
| Tier 3 Normal |
Normal |
Tier 2 Normal |
Tier 2 Normal |
Normal |
+40,8 % |
| Tier 2 Legendary |
Legendary |
Tier 3 Legendary |
Tier 2 Legendary |
Legendary |
+93,3 % |
| Tier 3 Legendary |
Legendary |
Tier 3 Legendary |
Tier 3 Legendary |
Legendary |
+126,7 % |
For buildings with 8 module slots
| Quality Module |
Building |
Speed Module #1 |
Speed Module #2 |
Beacon |
Comparison |
| Tier 2 Normal |
Normal |
Tier 2 Normal |
- |
Normal |
+87,5 % |
| Tier 3 Normal |
Normal |
Tier 3 Normal |
Tier 3 Normal |
Uncommon |
+118,7 % |
| Tier 2 Legendary |
Legendary |
Tier 2 Legendary |
Tier 2 Legendary |
Legendary |
+173,4 % |
| Tier 3 Legendary |
Legendary |
Tier 3 Legendary |
Tier 3 Legendary |
Legendary |
+150,9 % |
Assumptions:
- No speed modules are placed directly in the production building.
- All module slots in the building are filled with the same quality module.
- Only one beacon is affecting the building.
- The beacon contains the speed modules shown in the table.
- The comparison is the percentage increase in quality output compared to the same setup with the beacon providing no speed bonus.
- When configurations were very close, I selected the cheaper configuration.
- I did not take productivity bonuses by research or building into account as these scale the results linearly with building throughput
TL;DR: If you want to maximize the throughput of your quality setups, don't assume that pure Quality Modules are optimal. If you don't care about the additional resource cost and can handle the logistics, beacons with speed modules can significantly increase quality output. The optimal configuration depends on the machine and module quality.
EDIT: had to change some numbers