Developing a new functional capability index C_p^''' (Profile) for a simple linear profile with asymmetric tolerance

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Pakzad Aylin; Tanhaie Fahimeh

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Journal Paper

Paper Information

Journal: Year:2022 | Volume:12 | Issue:3 Page(s): 357-384

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Information Journal Paper

Title

Developing a new functional capability index C_p^''' (Profile) for a simple linear profile with asymmetric tolerance

Author(s)

Pakzad Aylin | Tanhaie Fahimeh | Issue Writer Certificate

Keywords

Simple linear profileQ4

Process incapability indicesQ4

Asymmetric tolerancesQ4

Functional approachQ4

Abstract

Abstract: In some practical applications, the quality of a product or process is defined by a profile, which is a relationship between a response variable and one or more explanatory variables. Simple linear profiles (SLPs) are one of the various types of profiles in which the product or process quality is related to a simple linear function between a response and an explanatory variable. In this article, a functional capability index for a Simple linear profile with asymmetric tolerance is introduced. The performance of the proposed index and existing ones ( and ) are studied using numerical examples and simulation studies in terms of mean absolute error (MAE), mean square error (MSE) and absolute percentage error (APE) metrics. The results show that the new index performs better than the two existing indices. Furthermore, confidence intervals for the proposed index are constructed using three bootstrap methods, and their performance is evaluated using simulation studies. A real-world case study is presented to demonstrate the application of the proposed index.

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