Measurement Error Effects on the Performance of Process Capability Indices

Abstract

Consider a production process which generates consecutively units of product represented by a sequence of independent N (μ, σ 2 )-distributed quality characteristics. Let X denote the relevant quality characteristic. A product unit is conforming if LSL ≤ X ≤ USL , where LSL and USL are the lower and upper tolerance limits. 1 The target value for the process mean μ = E ( X ) is supposed to be the midpoint M = ( USL + LSL )/2 of the tolerance interval [ LSL; USL ]. Let d = ( USL − LSL )/2 denote the distance between the target value and the tolerance interval limits. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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