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Published byRose Barker Modified over 9 years ago
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Learning curves
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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)
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Learning curve with no change in the task
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On a log-log graph
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Idő Learning curve with innovations
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Based on empirical findings Decrease (%) in time needed is constant for every duplication of the number of repetitions. It is typicaly between 10-20%.
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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
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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
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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
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Mass production and learning curves
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Evaluating employees
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