Journal of Quality Engineering and Management

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

Document Type : Original Article

Authors

Aylin Pakzad
Fahimeh Tanhaie

Assistant Professor, Department of Industrial Engineering, Kosar University of Bojnord, Bojnord, Iran.

https://doi.org/10.48313/jqem.2022.170490
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.
 

Keywords

Simple linear profile
Process incapability indices
Asymmetric tolerances
Functional approach
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Journal of Quality Engineering and Management
Volume 12, Issue 3
Autumn 2022
Pages 357-384

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