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Study the Different Feedback Methods in Manufacturing Setup Errors for Constant and Random Variables

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Document pages: 8 pages

Abstract: The performance criteria is the quadratic off-target cost incurred over a small number of parts produced. Analytical formula are presented and numerically illustrated. Two cases are considered, the first one where the setup error is constant but unknown offset and the second one where the setup error is a random variable with unknown first two moments. It is shown how Grubbs’ harmonic rule and a simple integral provide a robust adjustment strategy in a variety of circumstances. As a by-product, the formula presented in this paper allow to compute the expected off-target quadratic cost when a sudden shift occurs during production (not necessarily at setup) and the adjustment scheme compensates immediately after its occurrence.

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