Process Selection for Linear Profiles with One‐sided Specifications Based on the Ratio Test Statistic

Abstract

The quality of a process is characterized by a functional relationship between the response variable and one or more explanatory variables called a linear profile. In this study, the process selection problem that deals with comparing two linear profiles with one‐sided specifications and selecting the one that has a significantly higher capability value is presented. An exact approach based on the ratio test statistic to tackle the supplier selection problem is proposed. Testing hypotheses with two cases for comparing two processes is considered. Critical values of the tests are calculated to determine the selection decisions. The number of profiles required for a designated selection power and confidence level is also provided. The results provide useful information to practitioners. One real example is used to illustrate the application of our proposed approach. Copyright © 2014 John Wiley & Sons, Ltd.

Supplier Selection for Multiple Linear Profiles with One-Sided Specifications

“…The two‐process selection problem for multiple linear profiles with one‐sided specifications was investigated based on the process‐yield index C puA or C plA . The ratio test statistic proposed by Wang et al . can be used for two‐process selection.…”

“…Wang et al . proposed a method based on the ratio test statistic R that is the quotient of two independent, normally distributed random variables and is related to the Cauchy distribution.…”

Evaluation of Two Process Yields in Acceptance Sampling Plans

“…A ratio test statistic was used to select a supplier in Ref. [6]. This article assesses the yield indices of two processes with one-sided specification limits for linear profiles by using the ratio statistic in acceptance sampling plans.…”

Multiple Comparisons with the Best for Process Selection for Linear Profiles with One-sided Specifications

“…Wang proposed two new indices C puA and C plA to measure the process yield for simple linear profiles with one‐sided specifications. Regarding two‐process selection problem for linear profiles with one‐sided specifications can be found in the literature . However, the process selection problem for linear profiles may include more than two suppliers.…”

“…Regarding two-process selection problem for linear profiles with one-sided specifications can be found in the literature. 15,16 However, the process selection problem for linear profiles may include more than two suppliers. Thus, a new method is needed to solve this issue.…”