Evaluation of process capability in non-linear profiles using Hausdorff distance

There are practical situations in which the quality of a process or a product can be better characterized by a functional relationship between a response variable and one or more explanatory variables, called a profile. Frequently, such profiles can adequately be represented using linear or non-line...

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Bibliographic Details
Published in:Quality technology & quantitative management 2016-01, Vol.13 (1), p.1-15
Main Authors: Guevara, Rubén D., Vargas, José A., Castagliola, Philippe
Format: Article
Language:English
Subjects:
Functional box plot
Hausdorff distance
non-linear profiles
process capability indices
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Summary:There are practical situations in which the quality of a process or a product can be better characterized by a functional relationship between a response variable and one or more explanatory variables, called a profile. Frequently, such profiles can adequately be represented using linear or non-linear models. There are few studies that evaluate the capability of a process characterized by non-linear profiles. In this paper, we propose a method to measure the capability of such processes based on the Hausdorff distance. The performance of the proposed method is evaluated through simulation studies. An example illustrates this method.
ISSN:1684-3703
1684-3703
1811-4857
DOI:10.1080/16843703.2016.1139841