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Learning curves. The learning curve Graphic illustration of the productivity change as a function of repetition (or time). It is relatively stable in.

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Presentation on theme: "Learning curves. The learning curve Graphic illustration of the productivity change as a function of repetition (or time). It is relatively stable in."— Presentation transcript:

1 Learning curves

2 The learning curve Graphic illustration of the productivity change as a function of repetition (or time). It is relatively stable in time, thus we can use it to predictions. Theodore Paul Wright (1936)

3 Learning curve with no change in the task

4 On a log-log graph

5 Idő Learning curve with innovations

6 Based on empirical findings Decrease (%) in time needed is constant for every duplication of the number of repetitions. It is typicaly between 10-20%.

7 Example Learning percentage: 80% First performance time: 10 hrs How much time it needs to finish the 2nd, 4th, 8th and 16th repetition? – 2nd: 10*0,8 = 8 – 4th: 8*0,8 = 6,4 – 8th: 6,4*0,8 = 5,12 – 16th: 5,12*0,8 = 4,1

8 General formula 1) For the n th unit: T n = T 1 * n b b = learning percentage) / ln2 For the 3rd and 4th unit: T 3 = 10*3 (ln0.8/ln2) = 7,02 T 4 = 10*4 (ln0.8/ln2) = 6,40 2) From table: T n = T 1 * coefficient

9

10 Example 2 We want to produce 20 units. Learning percentage is 80. T1 = 400 hrs. a)How much is the production time for the 20th unit? b)What will be the cumulative production time? What is the average production time? T 20 = 400*20 (ln0.8/ln2) = 152.48  T 20 = 400*10.485 = 4194 4194/20 = 209.7

11 Mass production and learning curves

12 Evaluating employees


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