So I've been doing a lot of number crunching on economic data of worker death/delay pre-saturation and wanted to answer a few questions. Here are a few about Orbital Commands:
How do 14OC and 15OC compare?
14OC delays all your future workers up to full saturation (30) by 8 seconds, but gives you 8 seconds extra of MULE power.
1) Grants you marginal mineral advantage early after completion (~10) which slowly depreciates into a 45 mineral disadvantage once fully saturated.
2) Your first marine can spawn SEVEN SECONDS EARLIER. That's a big deal when we're talking 2:53 vs. 3:00 game time (with consideration to cheese of course).
3) Rush timings of the fastest possible 10 marines from 15OC (constant worker) and 14OC (8sec delayed) are 4:42 and 4:44. (credit CarbonTwelve's SC2BuildOrder)
11 Rax (Delay 12th Worker ~8 seconds)
14 Marine (Optional, Finishes at 2:53)
12 Rax (Constant Worker Production)
15 Marine (Optional, Finishes at 3:00)
@1:33 Identical until Delaying Worker 12 for 14OC
@2:59 14OC Finishes (778 Income per Minute vs. 630 Income per Minute..... for 9 seconds)
@3:08 15OC Finishes (778 Income per Minute vs. 778 Income Per Minute.... for 8 seconds)
-At this point, every 8/9 seconds there is an income increase in 14OC vs. 15OC.
@3:16 14OC completes 15th worker with a 10 mineral advantage.
@7:23 15OC completes 30th worker (full saturation).
@7:31 14OC completes 30th worker with a 45 mineral disadvantage. This difference becomes static.
What's the fastest possible OC? How much does it cost?
7 SCV (at cost)
7 OC (Finishes at 2:30)
7 Marine (Optional, Finishes at 2:23, 2 @2:58)
The fastest possible OC is completed at 2:30, and ends up costing you 1453 minerals until Saturation. You could never use this advantageously in any situation I can think of.
How much does it cost to delay OC instead of getting it at the standard 15 supply?
It's a good question. If you double rax refinery, you won't get your OC until about 17 supply (16 workers).
Between the delays in worker production and MULE power, It ends up costing you ~83 Minerals per 17 seconds (1 SCV Build Time), and the rate of loss depreciates slowly to full saturation. (Assuming you build it at 30.)
What are all the OC Timings you tested and their comparisons with 15OC?
7OC - ~1453 Minerals Lost (17.2% of economy) by Saturation Time, Marine Possible @2:23
10 OC - ~622 Minerals Lost (8.3%) by Saturation Time, Marine Possible @2:29, 2 @2:54
13 OC - ~170 Minerals Lost (2.3%*) by Saturation Time, Marine Possible @2:45
14 OC - ~45 Minerals Lost (0.6% of economy) by Saturation Time, Marine Possible @2:53
All 15 OC builds reach full saturation at 7:23
16 OC - ~83 Minerals Lost (1.3%) by Saturation
17 OC - ~166 Minerals Lost (2.5%*)
18 OC - ~238 Minerals Lost (3.6%)
(Depreciation Increases ~logarithmically here until 30 OC)
30 OC - ~400 Minerals Lost (6.3%)
* The economic loss vs minerals lost is slightly different due to differing saturation times.
"This is good information, but I question its validity. Show me all the gory details."
OCR.xls on google docs