Lab - Revision history

Bu58: The formula to calculate the number of labs is correct.

2026-03-01T11:29:06Z

The formula to calculate the number of labs is correct.

← Older revision		Revision as of 11:29, 1 March 2026
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	If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:		If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:
	* <math>N = \~~left~~[ \left( 1 + \frac{B ~~\left~~[ r ~~\right~~]}{100} \right) \times \left(1 + \frac{M ~~\left~~[ r ~~\right~~]}{100} \right) \times BLS ~~\times \frac{1}{T[r] \times PPS} \right]^{-1~~}</math>		* <math>N = \frac{PPS * T[r]}{\left(1 + \frac{B[r]}{100}\right)\times\left(1 + \frac{M[r]}{100}\right)\times BLS}</math>

	== History ==		== History ==

Alfonse: /* Production requirements */ Removed biolabs from the calculation in order to not have to add an equal consumption rate decrease.

2025-07-07T18:49:20Z

Production requirements: Removed biolabs from the calculation in order to not have to add an equal consumption rate decrease.

← Older revision		Revision as of 18:49, 7 July 2025
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	*'''''B[r]''''' is the speed bonus from the [[Lab research speed (research)]], in percent		*'''''B[r]''''' is the speed bonus from the [[Lab research speed (research)]], in percent
	*'''''M[r]''''' is the sum of all [[module]] speed effects ([[speed module]]s - positive; [[productivity module]]s - negative), in percent		*'''''M[r]''''' is the sum of all [[module]] speed effects ([[speed module]]s - positive; [[productivity module]]s - negative), in percent
	*'''''BLS''''' is the base lab speed, which is adjusted by the [[quality]]{{SA}} of the lab ~~and/or using a [[biolab]]{{SA}}~~		*'''''BLS''''' is the base lab speed, which is adjusted by the [[quality]]{{SA}} of the lab
	*'''''ACT''''' is "adjusted cycle time"		*'''''ACT''''' is "adjusted cycle time"
	*'''''T[r]''''' is the research cycle time as displayed in the research screen		*'''''T[r]''''' is the research cycle time as displayed in the research screen
	*'''''PPS''''' is "packs per second"		*'''''PPS''''' is "packs per second"
	*'''''N''''' is the number of labs available.		*'''''N''''' is the number of labs available.

			Note: while the [[biolab]]{{SA}} has twice the speed of a regular lab, it also consumes packs half as fast. As such, the consumption rate of a biolab is the same as the consumption rate of an equal quality regular lab.

	Thus, with 10 base quality standard labs, researching Nuclear Power (30 second cycle time) with Lab Research Speed 4 (140% bonus) and no module effects, the calculation is:		Thus, with 10 base quality standard labs, researching Nuclear Power (30 second cycle time) with Lab Research Speed 4 (140% bonus) and no module effects, the calculation is:

Bilka: /* Equation simplification */ typo

2025-05-27T15:56:27Z

Equation simplification: typo

← Older revision		Revision as of 15:56, 27 May 2025
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	If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:		If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:
	* <math>N = \left( \left( 1 + \frac{B \left[ r \right]}{100} \right) \times \left(1 + \frac{M \left[ r \right]}{100} \right) \times BLS \times \frac{1}{T[r] \times PPS} \right)^{-1}</math>		* <math>N = \left[ \left( 1 + \frac{B \left[ r \right]}{100} \right) \times \left(1 + \frac{M \left[ r \right]}{100} \right) \times BLS \times \frac{1}{T[r] \times PPS} \right]^{-1}</math>

	== History ==		== History ==

Alfonse: /* Production requirements */ Adjustments for quality and biolabs.

2025-03-07T16:37:42Z

Production requirements: Adjustments for quality and biolabs.

← Older revision		Revision as of 16:37, 7 March 2025
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	==Production requirements==		==Production requirements==
	Calculating the number of science packs needed per second is straightforward:		Calculating the number of science packs needed per second is straightforward:
	* <math>ERS = \left( 1 + \frac{B \left[ r \right] }{100} \right) \times \left( 1 + \frac{M \left[ r \right] }{100} \right) </math>		* <math>ERS = \left( 1 + \frac{B \left[ r \right] }{100} \right) \times \left( 1 + \frac{M \left[ r \right] }{100} \right) \times BLS </math>
	* <math>ACT = \frac{T \left[ r \right] }{ERS}</math>		* <math>ACT = \frac{T \left[ r \right] }{ERS}</math>
	* <math>PPS = \frac{N}{ACT}</math>		* <math>PPS = \frac{N}{ACT}</math>
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	Where:		Where:
	*'''''ERS''''' is "effective lab research speed"		*'''''ERS''''' is "effective lab research speed"
	*'''''B[r]''''' is the ~~Lab Research Speed~~ bonus ~~as reported by~~ the ~~game~~, in percent		*'''''B[r]''''' is the speed bonus from the [[Lab research speed (research)]], in percent
	*'''''M[r]''''' is the sum of all module speed effects (~~Speed modules~~ - positive; ~~Productivity modules~~ - negative), in percent		*'''''M[r]''''' is the sum of all [[module]] speed effects ([[speed module]]s - positive; [[productivity module]]s - negative), in percent
			*'''''BLS''''' is the base lab speed, which is adjusted by the [[quality]]{{SA}} of the lab and/or using a [[biolab]]{{SA}}
	*'''''ACT''''' is "adjusted cycle time"		*'''''ACT''''' is "adjusted cycle time"
	*'''''T[r]''''' is the research cycle time as displayed in the research screen		*'''''T[r]''''' is the research cycle time as displayed in the research screen
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	*'''''N''''' is the number of labs available.		*'''''N''''' is the number of labs available.

	Thus, ~~for a~~ 10~~-lab setup~~, researching Nuclear Power (30 second cycle time) with Lab Research Speed 4 (140% bonus) and no module effects, the calculation is:		Thus, with 10 base quality standard labs, researching Nuclear Power (30 second cycle time) with Lab Research Speed 4 (140% bonus) and no module effects, the calculation is:
	*<math>ERS = 1 + \frac{140}{100} = 2.4</math>		*<math>ERS = 1 + \frac{140}{100} = 2.4</math>
	*<math>ACT = \frac{30}{2.4} = 12.5 s</math>		*<math>ACT = \frac{30}{2.4} = 12.5 s</math>
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	=== Equation simplification ===		=== Equation simplification ===
	Assuming all labs have the same ''B[r]'' ~~(which they always will unless they are affected by different module configurations~~), the above calculations can be combined into one equation:		Assuming all labs have the same ''B[r]'' and ''BLS''), the above calculations can be combined into one equation:

	* <math>PPS = \frac{N}{T \left[ r \right] } \times \left( 1 + \frac{B \left[ r \right] }{100} \right) \times \left( 1 + \frac{M \left[ r \right] }{100} \right)</math>		* <math>PPS = \frac{N}{T \left[ r \right] } \times \left( 1 + \frac{B \left[ r \right] }{100} \right) \times \left( 1 + \frac{M \left[ r \right] }{100} \right) \times BLS</math>

	Thus for the numerical example:		Thus for the numerical example:
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	If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:		If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:
	* <math>N = \left( \left( 1 + \frac{B \left[ r \right]}{100} \right) \times \left(1 + \frac{M \left[ r \right]}{100} \right) \times \frac{1}{T[r] \times PPS} \right)^{-1}</math>		* <math>N = \left( \left( 1 + \frac{B \left[ r \right]}{100} \right) \times \left(1 + \frac{M \left[ r \right]}{100} \right) \times BLS \times \frac{1}{T[r] \times PPS} \right)^{-1}</math>

	== History ==		== History ==

Guy-732: transformed formulas using LaTeX

2024-11-07T12:14:30Z

transformed formulas using LaTeX

← Older revision		Revision as of 12:14, 7 November 2024
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	==Production requirements==		==Production requirements==
	Calculating the number of science packs needed per second is straightforward:		Calculating the number of science packs needed per second is straightforward:
	* <~~code~~>ERS = (1 + B[r] ÷ 100) × (1 + M[r] ÷ 100)</~~code~~>		* <math>ERS = \left( 1 + \frac{B \left[ r \right] }{100} \right) \times \left( 1 + \frac{M \left[ r \right] }{100} \right) </math>
	* <~~code~~>ACT = T[r] ÷ ERS</~~code~~>		* <math>ACT = \frac{T \left[ r \right] }{ERS}</math>
	* <~~code~~>PPS = N ÷ ACT</~~code~~>		* <math>PPS = \frac{N}{ACT}</math>

	Where:		Where:
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	Thus, for a 10-lab setup, researching Nuclear Power (30 second cycle time) with Lab Research Speed 4 (140% bonus) and no module effects, the calculation is:		Thus, for a 10-lab setup, researching Nuclear Power (30 second cycle time) with Lab Research Speed 4 (140% bonus) and no module effects, the calculation is:
	*<~~code~~>ERS = 1 + (140 ÷ 100) = 2.4</~~code~~>		*<math>ERS = 1 + \frac{140}{100} = 2.4</math>
	*<~~code~~>ACT = 30 ÷ 2.4 = 12.5 s</~~code~~>		*<math>ACT = \frac{30}{2.4} = 12.5 s</math>
	*<~~code~~>PPS = 10 ÷ 12.5 = 0.8</~~code~~>		*<math>PPS = \frac{10}{12.5} = 0.8</math>

	This means 0.8 science packs per second, of each type, would need to be produced to continuously supply the labs.		This means 0.8 science packs per second, of each type, would need to be produced to continuously supply the labs.
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	Assuming all labs have the same ''B[r]'' (which they always will unless they are affected by different module configurations), the above calculations can be combined into one equation:		Assuming all labs have the same ''B[r]'' (which they always will unless they are affected by different module configurations), the above calculations can be combined into one equation:

	* <~~code~~>PPS = N × (1 + B[r] ÷ 100) × (1 + M[r] ÷ 100) ~~÷ T[r]~~</~~code~~>		* <math>PPS = \frac{N}{T \left[ r \right] } \times \left( 1 + \frac{B \left[ r \right] }{100} \right) \times \left( 1 + \frac{M \left[ r \right] }{100} \right)</math>

	Thus for the numerical example:		Thus for the numerical example:
	* <~~code~~>PPS = 10 × (1 + 140 ÷ 100) × 1 ÷ 30~~</code>~~ = ~~<code>(~~10 ÷ 30~~) ×~~ (1 + 1.4)~~</code>~~ = ~~<code> (~~1 ÷ 3~~) ×~~ 2.4~~</code>~~ = ~~<code>~~ 2.4 ÷ 3~~</code>~~ = ~~<code>~~0.8</~~code~~> packs per second		* <math>PPS = 10 \times \left( 1 + \frac{140}{100} \right) \times \frac{1}{30} = \frac{10}{30} \times \left( 1 + 1.4 \right) = \frac{1}{3} \times 2.4 = \frac{2.4}{3} = 0.8</math> packs per second

	If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:		If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:
	* <~~code~~>N = ((1 + B[r] ÷ 100) × (1 + M[r] ÷ 100) ÷ T[r] ÷ PPS) ^ −1</~~code~~>		* <math>N = \left( \left( 1 + \frac{B \left[ r \right]}{100} \right) \times \left(1 + \frac{M \left[ r \right]}{100} \right) \times \frac{1}{T[r] \times PPS} \right)^{-1}</math>

	== History ==		== History ==

AceMcCloud at 15:25, 20 June 2023

2023-06-20T15:25:47Z

← Older revision		Revision as of 15:25, 20 June 2023
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	The player can only research one technology at a time, but can use multiple labs for faster results. The speed bonus of labs when [[lab research speed (research)\|lab research speed]] is researched and modules are present can be calculated using this formula: <code>research_bonus × module_bonus = speed_bonus</code>; the percentage bonuses have to be converted to decimals (e.g. +140% = 2.4) before the formula is used.		The player can only research one technology at a time, but can use multiple labs for faster results. The speed bonus of labs when [[lab research speed (research)\|lab research speed]] is researched and modules are present can be calculated using this formula: <code>research_bonus × module_bonus = speed_bonus</code>; the percentage bonuses have to be converted to decimals (e.g. +140% = 2.4) before the formula is used.

			[[Inserters]] can insert and remove science packs from labs. This allows chaining multiple labs together with inserters, each inserter taking science packs, as needed, from one lab and placing it into the next.


	==Production requirements==		==Production requirements==

Bilka: / -> ÷

2020-11-23T11:26:40Z

/ -> ÷

← Older revision		Revision as of 11:26, 23 November 2020
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	If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:		If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:
	* <code>N = ((1 + B[r] ÷ 100) × (1 + M[r] ÷ 100) ÷ T[r] / PPS) ^ −1</code>		* <code>N = ((1 + B[r] ÷ 100) × (1 + M[r] ÷ 100) ÷ T[r] ÷ PPS) ^ −1</code>

	== History ==		== History ==

Saucy Pigeon: /* Equation simplification */ Added rearrangement for working out N from packs per second.

2020-11-20T04:06:40Z

Equation simplification: Added rearrangement for working out N from packs per second.

← Older revision		Revision as of 04:06, 20 November 2020
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	Thus for the numerical example:		Thus for the numerical example:
	* <code>PPS = 10 × (1 + 140 ÷ 100) × 1 ÷ 30</code> = <code>(10 ÷ 30) × (1 + 1.4)</code> = <code> (1 ÷ 3) × 2.4</code> = <code> 2.4 ÷ 3</code> = <code>0.8</code> packs per second		* <code>PPS = 10 × (1 + 140 ÷ 100) × 1 ÷ 30</code> = <code>(10 ÷ 30) × (1 + 1.4)</code> = <code> (1 ÷ 3) × 2.4</code> = <code> 2.4 ÷ 3</code> = <code>0.8</code> packs per second

			If trying to find the amount of labs needed to consume a given amount of packs per second, use the following rearrangement:
			* <code>N = ((1 + B[r] ÷ 100) × (1 + M[r] ÷ 100) ÷ T[r] / PPS) ^ −1</code>

	== History ==		== History ==

SyntaxTerror: /* Production requirements */ ELRS => ERS as above

2020-07-29T00:49:45Z

Production requirements: ELRS => ERS as above

← Older revision		Revision as of 00:49, 29 July 2020
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	Thus, for a 10-lab setup, researching Nuclear Power (30 second cycle time) with Lab Research Speed 4 (140% bonus) and no module effects, the calculation is:		Thus, for a 10-lab setup, researching Nuclear Power (30 second cycle time) with Lab Research Speed 4 (140% bonus) and no module effects, the calculation is:
	*<code>~~ELRS~~ = 1 + (140 ÷ 100) = 2.4</code>		*<code>ERS = 1 + (140 ÷ 100) = 2.4</code>
	*<code>ACT = 30 ÷ 2.4 = 12.5 s</code>		*<code>ACT = 30 ÷ 2.4 = 12.5 s</code>
	*<code>PPS = 10 ÷ 12.5 = 0.8</code>		*<code>PPS = 10 ÷ 12.5 = 0.8</code>

Justarandomgeek: /* Equation simplification */ unneeded brackets

2020-01-20T20:20:15Z

Equation simplification: unneeded brackets

← Older revision		Revision as of 20:20, 20 January 2020
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	Assuming all labs have the same ''B[r]'' (which they always will unless they are affected by different module configurations), the above calculations can be combined into one equation:		Assuming all labs have the same ''B[r]'' (which they always will unless they are affected by different module configurations), the above calculations can be combined into one equation:

	* <code>PPS = N × (1 + [B[r] ÷ 100]) × (1 + M[r] ÷ 100) ÷ T[r]</code>		* <code>PPS = N × (1 + B[r] ÷ 100) × (1 + M[r] ÷ 100) ÷ T[r]</code>

	Thus for the numerical example:		Thus for the numerical example:
	* <code>PPS = 10 × (1 + [140 ÷ 100]) × 1 ÷ 30</code> = <code>(10 ÷ 30) × (1 + 1.4)</code> = <code> (1 ÷ 3) × 2.4</code> = <code> 2.4 ÷ 3</code> = <code>0.8</code> packs per second		* <code>PPS = 10 × (1 + 140 ÷ 100) × 1 ÷ 30</code> = <code>(10 ÷ 30) × (1 + 1.4)</code> = <code> (1 ÷ 3) × 2.4</code> = <code> 2.4 ÷ 3</code> = <code>0.8</code> packs per second

	== History ==		== History ==