- Location
- Wall Gazing
Well, there you go, then. Finishing Reykjavik a turn sooner means we have +8 more Capital Goods in the reserve than we otherwise would. That's not nothing, on top of other considerations.
There is a reason why I think both strategies have valid points. As Lightwispers mentioned there is the chance of getting Bergen 4 in Q4, and an increased chance in Bergen 5 sooner. Let me run some numbers of my own real quick:
Reykjavik 883/1100 Progress
The two dice strategy presupposes rolling 2 dice this turn then 1 die a turn after until completion. The three dice strategy presupposes rolling 3 dice this turn then 1 die a turn after until completion.
For 2 dice
2 dice: 17% Q3
For the 2 dice option to succeed we'd need a minimum roll of 144 (1100 - 883 - 15 - 29 * 2 = 144). That means on average, if we failed, we rolled a 72 (144/2) with 2 dice or a total progress of 130. Therefore on average our progress if we failed would be 883 + 130 = 1013/1100: 1 die 58% chance.
Combined with the chance of failure on the roll in Q3 that means we'd have a .83 * .58 = 48% chance of completing it in Q4 with this strategy.
Similar logic for Q1 2064: 1100 - 1013 - 15 - 29 = 43. Which means on average we roll a 21 in Q4 for a progress of 50. Therefore we are at 1063/1100. Which has a 100% chance of succeeding with 1 die. And therefore a .83 * .42 * 1 = 35% chance of occuring
Therefore the chance breakdown of when Reykjavik finishes for the 2 dice strategy is 17% Q3, 48% Q4, and 35% Q1 2064
For 3 dice
-3 dice: 76% Q3
For the 3 dice option to succeed we'd need a minimum roll of 115 (1100 - 883 - 15 - 29 * 3 = 115). That means on average, if we failed, we rolled a 57 with 3 dice or a total progress of 144. Therefore on average our progress, if we failed, would be 883 + 144 = 1027/1100: 1 die 72% chance.
Combined with the chance failure on the roll in Q3 that means we'd have a .24 * .72 = 17% chance of completing it in Q4 with this strategy.
Similar logic for Q1 2064: 1100 - 1027 - 15 - 29 = 29. Which means on average we roll a 14 in Q4 for a progress of 1070/1100. Which has a 100% chance of succeeding with 1 die. And therefore a .24 * .28 * 1 = 7% chance of occurring.
Therefore the chance breakdown of when Reykjavik finishes for the 3 dice strategy is 76% Q3, 17% Q4, 7% Q1 2064
This however doesn't factor in Bergen.
Applying the same logic discussed above to Bergen 4 with the caveat that it will either roll 1 die this turn and then the maximum number of dice until completion. If a die is needed for Reyjavik Bergen will roll 3 dice, if not it will roll 4.
Bergen 4: 235/640
For the 2 dice on Reykjavik strategy:
Bergen gets an average progress of 79 and therefore now has 314/640 Progress going into Q4.
If Reykjavik completed (17% chance) Bergen rolls 4 dice for 55% chance
In this case Bergen 4 needs a roll of 640 - 314 - 15 - 29 * 4 = 195, therefore the average failure roll is 97 for an average progress of 213. Therefore 527/640 Progress in Q1 2064 and a 100% chance of completing with 4 dice
If Reykjavik did not complete (83% chance) Bergen rolls 3 dice for 8% chance
In this case Bergen 4 needs a roll of 640 - 314 - 15 - 29 * 3 = 224, therefore the average failure roll is 112 for an average progress of 199. Therefore 523/640 Progress in Q1 2064 and a 100% chance of completing with 3 or 4 dice
Therefore we have a .17 * .55 + .83 * .08 = 16% chance of completing Bergen 4 in Q4 and a .17 * .45 * 1 + .83 * .92 * 1 = 84% chance of completing Bergen in Q1 2064
For the 3 dice on Reykjavik strategy:
Begen doesn't get any progress in Q3 and starts with 235/640 in Q4.
If Reykjavik completed (76% chance) Bergen rolls 4 dice for 11% chance
In this case Bergen 4 needs a roll of 640 - 235 - 15 - 29 * 4 = 274, therefore the average failure roll is 137 for an average progress of 253. Therefore 488/640 in Q4 and a 100% chance of completing with 4 dice.
If Reykjavik did not complete (24% chance) Bergen rolls 3 dice fo 0% chance and an average progress of 237. Therefore 472/640 Progress in Q4.
If Reykjavik completed in Q4 Bergen 4 has a 100% chance of completion with 4 dice in Q1
If Reykjavik did not complete in Q4 Bergen 4 has a 96% chance of completion in Q1 with 3 dice and a 100% chance of completion in Q2
Therefore we have an .76 * .11 + .24 * 0 = 8% chance of completing Bergen 4 in Q4, a .76 * .89 * 1 + .24 * 1 * .96 = 91% chance of completing Bergen 4 in Q1 2064 and a .24 *1 * .04 = 1% chance of completing Bergen 4 in Q2 2064.
I'd caveat the above numbers acknowledging that I'm playing fast and loose with probabilities and the 'average failed progress' is likely not accurate, but given I didn't want to run the full numbers and this still took me a hot minute to do it, they should be close enough.
The two dice strategy presupposes rolling 2 dice this turn then 1 die a turn after until completion. The three dice strategy presupposes rolling 3 dice this turn then 1 die a turn after until completion.
For 2 dice
2 dice: 17% Q3
For the 2 dice option to succeed we'd need a minimum roll of 144 (1100 - 883 - 15 - 29 * 2 = 144). That means on average, if we failed, we rolled a 72 (144/2) with 2 dice or a total progress of 130. Therefore on average our progress if we failed would be 883 + 130 = 1013/1100: 1 die 58% chance.
Combined with the chance of failure on the roll in Q3 that means we'd have a .83 * .58 = 48% chance of completing it in Q4 with this strategy.
Similar logic for Q1 2064: 1100 - 1013 - 15 - 29 = 43. Which means on average we roll a 21 in Q4 for a progress of 50. Therefore we are at 1063/1100. Which has a 100% chance of succeeding with 1 die. And therefore a .83 * .42 * 1 = 35% chance of occuring
Therefore the chance breakdown of when Reykjavik finishes for the 2 dice strategy is 17% Q3, 48% Q4, and 35% Q1 2064
For 3 dice
-3 dice: 76% Q3
For the 3 dice option to succeed we'd need a minimum roll of 115 (1100 - 883 - 15 - 29 * 3 = 115). That means on average, if we failed, we rolled a 57 with 3 dice or a total progress of 144. Therefore on average our progress, if we failed, would be 883 + 144 = 1027/1100: 1 die 72% chance.
Combined with the chance failure on the roll in Q3 that means we'd have a .24 * .72 = 17% chance of completing it in Q4 with this strategy.
Similar logic for Q1 2064: 1100 - 1027 - 15 - 29 = 29. Which means on average we roll a 14 in Q4 for a progress of 1070/1100. Which has a 100% chance of succeeding with 1 die. And therefore a .24 * .28 * 1 = 7% chance of occurring.
Therefore the chance breakdown of when Reykjavik finishes for the 3 dice strategy is 76% Q3, 17% Q4, 7% Q1 2064
This however doesn't factor in Bergen.
Applying the same logic discussed above to Bergen 4 with the caveat that it will either roll 1 die this turn and then the maximum number of dice until completion. If a die is needed for Reyjavik Bergen will roll 3 dice, if not it will roll 4.
Bergen 4: 235/640
For the 2 dice on Reykjavik strategy:
Bergen gets an average progress of 79 and therefore now has 314/640 Progress going into Q4.
If Reykjavik completed (17% chance) Bergen rolls 4 dice for 55% chance
In this case Bergen 4 needs a roll of 640 - 314 - 15 - 29 * 4 = 195, therefore the average failure roll is 97 for an average progress of 213. Therefore 527/640 Progress in Q1 2064 and a 100% chance of completing with 4 dice
If Reykjavik did not complete (83% chance) Bergen rolls 3 dice for 8% chance
In this case Bergen 4 needs a roll of 640 - 314 - 15 - 29 * 3 = 224, therefore the average failure roll is 112 for an average progress of 199. Therefore 523/640 Progress in Q1 2064 and a 100% chance of completing with 3 or 4 dice
Therefore we have a .17 * .55 + .83 * .08 = 16% chance of completing Bergen 4 in Q4 and a .17 * .45 * 1 + .83 * .92 * 1 = 84% chance of completing Bergen in Q1 2064
For the 3 dice on Reykjavik strategy:
Begen doesn't get any progress in Q3 and starts with 235/640 in Q4.
If Reykjavik completed (76% chance) Bergen rolls 4 dice for 11% chance
In this case Bergen 4 needs a roll of 640 - 235 - 15 - 29 * 4 = 274, therefore the average failure roll is 137 for an average progress of 253. Therefore 488/640 in Q4 and a 100% chance of completing with 4 dice.
If Reykjavik did not complete (24% chance) Bergen rolls 3 dice fo 0% chance and an average progress of 237. Therefore 472/640 Progress in Q4.
If Reykjavik completed in Q4 Bergen 4 has a 100% chance of completion with 4 dice in Q1
If Reykjavik did not complete in Q4 Bergen 4 has a 96% chance of completion in Q1 with 3 dice and a 100% chance of completion in Q2
Therefore we have an .76 * .11 + .24 * 0 = 8% chance of completing Bergen 4 in Q4, a .76 * .89 * 1 + .24 * 1 * .96 = 91% chance of completing Bergen 4 in Q1 2064 and a .24 *1 * .04 = 1% chance of completing Bergen 4 in Q2 2064.
I'd caveat the above numbers acknowledging that I'm playing fast and loose with probabilities and the 'average failed progress' is likely not accurate, but given I didn't want to run the full numbers and this still took me a hot minute to do it, they should be close enough.
Therefore our table breakdown is:
-Where Average Capital Goods equals the chance of completion that quarter times the amount of Capital Goods produced
-Where Total Average Capital Goods equals the sum of the Average Capital Goods of each quarter times the number of quarters to the end of Q2 2064. For Example: the Total Average for 2 dice Reykjavik is 1.36 * 4 turns + 3.84 * 3 turns + 2.8 * 2 turns = 22.56 Capital Goods
-Where Reykjavik's Capital Goods are 8 and Bergen 4's are 4.
Chance of Completing Q3 | Average Q3 Capital Goods | Chance of Completing Q4 | Average Q4 Capital Goods | Chance of Completing Q1 2064 | Average Q1 2064 Capital Goods | Chance of Completing Q2 | Average Q2 0264 Capital Goods | Total Average Capital goods | |
2 dice (Reykjavik) | 17% | .17 * 8 = 1.36 | 48% | .48 * 8 = 3.84 | 35% | .35 * 8 = 2.8 | Done | - | 22.56 |
2 dice (Bergen 4) | 0 | 0 * 4 = 0 | 16% | .16 * 4 = 0.64 | 84% | .84 * 4 = 3.36 | Done | - | 8.64 |
Total 2 dice Capital Goods | 31.2 | ||||||||
3 dice (Reykjavik) | 76% | .76 * 8 = 6.08 | 17% | .17 * 8 = 1.36 | 7% | .07 * 8 = .56 | Done | - | 29.52 |
3 dice (Bergen 4) | 0 | 0 * 4 = 0 | 8% | .08 * 4 = .32 | 91% | .91 * 4 = 3.64 | 1% | .01 * 4 = .04 | 8.28 |
Total 3 dice Capital Goods | 37.8 |
This implies we should expect ~6.6 additional Capital Goods in the reserve with 3 dice on Reykjavik
This is personally convincing for the 3 dice strategy getting us more Capital Goods sooner on average. I realise my methodology is not something I'd submit for a paper or an assignment, but it is close enough.
Sure. The QM said:
'It is going to be producing mfcs, it is going to be making a difference. The issue is that it is not producing enough to be obviously visible indicator wise, or on immediately visible projects.'
From this we can state that:
-It is producing Micro Fusion Cells and it is going to make a difference. Therefore it is having an effect.
-It is not producing enough to be visible on our economic indicators. The effect is not visible at our current level of economic abstraction
-It is not producing enough to be visible on immediately visible projects. The effect is not visible on the currently available projects. This implies that it would be visible on a project that is not yet present. Such as a platform development project, where the progress cost for the design is still the same, but the cost of production would change.
From Microfusion Cell Laboratories project description:
'there are many jobs where the sheer energy density of an MFC would be useful both to the military and more civil administrations.'
From MF
From Microfusion Cell Development project description:
'advent of ever more power hungry personal systems, ranging from energy weapons, to personal tools for space construction.'
From Microfusion Cell Development project results:
'The first generation microfusion cell is about two meters long, making it only 'micro' in comparison to the full-scale generators. While the fuel and fusion cells are only about fifty centimeters long between them, the vast majority of the unit is the direct energy conversion system, using a series of electrostatic converters. Although the unit is an inconvenient size and shape for many things, it can provide a substantial amount of power pretty much anywhere in the Solar system, in a package significantly smaller than a standard issue fission or large scale fusion reactor.'
We can therefore assume that the Laboratories are creating either 1st Generation Cells (2 meters), or 2nd Generation Cells (estimated 50% reduction in size from 1st Gen by Researcher Kota). The hypothesized second generation design is still a meter long, that is way too big for even space use, as that would be a 1 meter long probably not rail thin fusion generator on your back, we would then need to add radiation protection, both for cosmic activity and for the generator as 'it does tend to spit out high-energy particulates at times' (from Microfusion Cell Development project results), add cooling/radiating systems for the amount of heat that thing is generating, other life support equipment, hook ups for the various tools the astronaut would use. Using the MFC on a spacesuit in its 1st or 2nd Gen iterations would result in less a spacesuit and more a 3-4 meter mecha. And at that point you might as well a vehicle then a spacesuit. The generators as currently described aren't small enough to act as a Fallout microfusion cell. That is where the tech is going to lead I'm sure, but it is not there yet.
Personally, I'd like to wait on Alloys Phase 6 for that. That's the phase where we start turning out alloy blades in large quantities, and the most immediately obvious application for that is "hard-rock tiberium-resistant mining equipment." It may make vein mines specifically easier by giving us a superior alternative to the known Nod-style harvesting claws we were already using.
I've no objections, the timeline will likely work out for that in any event.