Capability Indices Dedicated to the Two Quality Characteristics Case

Abstract The aim of this paper is to define two new capability indices BCP and BCPK dedicated to two quality characteristics, assuming a bivariate normal distribution and a rectangular tolerance region. These new capability indices are based on the computation of the theoretical proportion of non-conforming products over convex polygons. This computation is achieved by a new method of integration based on Green’s formula. The efficiency of the proposed capability indices is demonstrated by comparing our approach with others proposed previously, on simulated and real world industrial examples.

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