Incremental Unit-time Learning Model | Learning Curve Analysis

The incremental unit-time learning model assumes that the incremental time of making a unit decreases by a set percentage each time the cumulative quantity of units produced doubles. Thus, if a learning curve of 80% is assumed, then the incremental time of making a unit would decrease by 20% (100% - 80%) each time the company doubles production (e.g., going from one unit to two units produced).
In the example presented in the video, the incremental time to produce the last single unit is calculated using the following equation:
y = (a) * (X^b)
where
y = incremental time to produce the last single unit
X = cumulative number of units produced
a = time required to produce the first unit
b = [ ln (learning curve % in decimal form) ] / ln 2
For an 80% learning curve, "b" is calculated as follows:
b = ln 0.8/ ln 2 = -0.2231 / 0.6931 = -0.3219-
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[@ajpoole1015]

OK, but you dont explain how you got the intermediaries. Like 1 to 2, then 2 to 4, but how did you get 70.21/83.40 on row 3?

[@juliasharkey5480]

Exactly! I have spent countless hours trying to figure that out. Even asked my high school child who is great in math and she didn't know..

[@johansantoso310]

(100+80+70,21)/3

[@elizabethburnett4770]

You would do [Cumulative Average Time of First Unit(Number of Units)^(Ln. Learning Curve %)/(Ln 2)]. So for the problem he went over in this video, using number of units = 3 as an example, it would be [100(3)^(Ln. .80/Ln 2)]=70.21. Then for the cumulative average time per units (which equals 83.40) he did 250.21/3=83.40 :)

[@sydbarnes9006]

You could not keep getting better and better. Eventually you would arrive at a stage where you have reached max. efficiency.

[@eigenvalue9358]

Wright's law