Process capability indices have been proposed in the manufacturing industry to provide numerical measures on process reproduction capability, which are effective tools for quality assurance and guidance for process improvement. In process capability analysis, the usual practice for testing...

The process capability index C<Subscript>pk</Subscript> has been widely used in the manufacturing industry to provide numerical measures on process performance. Since C<Subscript>pk</Subscript> is a yield-based index which is independent of the target T, it fails to account for process centering with symmetric tolerances, and presents an...</subscript></subscript>

General forms for the eigenvalues and eigenvectors of certain patterned correlation matrices are obtained. The pattern considered is one in which the correlation matrix consists of submatrices containing powers of a single correlation coefficient p. The results are discussed in the context of a...

By approaching capability from the point of view of process loss similar to Cpm , Johnson (1992) provided the expected relative loss Le to consider the proximity of the target value. Putting the loss in relative terms, a user needs only to specify the target and the distance from the target at...

The process capability index Cpk has been widely used in manufacturing industry to provide numerical measures of process potential and performance. As noted by many quality control researchers and practitioners, Cpk is yield-based and is independent of the target T. This fails to account for...

Johnson (1992) developed the process loss index Le, which is defined as the ratio of the expected quadratic loss to the square of half specification width. Tsui (1997) expressed the index LeasLe=Lpe+Lot, which provides an uncontaminated separation between information concerning the potential...

Process capability indices have been widely used in the manufacturing industry providing numerical measures on process performance. The index Cp provides measures on process precision (or product consistency). The index Cpm, sometimes called the Taguchi index, meditates on process centring...