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Operations Management: Processes and Supply Chains, 12th Edition by Larry P. Ritzman, Manoj K. Malhotra, Lee J. Krajewski

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Developing Learning Curves

In the following discussion and applications, we focus on direct labor hours per unit, although we could as easily have used costs. When we develop a learning curve, we make the following assumptions:

  • The direct labor required to produce the n+1 unit will always be less than the direct labor required for the nth unit.

  • Direct labor requirements will decrease at a declining rate as cumulative production increases.

  • The reduction in time will follow an exponential curve.

In other words, the production time per unit is reduced by a fixed percentage each time production is doubled. We can use a logarithmic model to draw a learning curve. The direct labor required for the nth unit, k n , is

k n = k 1 n b

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