# Process capability indices and X ¯ $$\overline{X}$$ , R control chart limit adjustments by taking into account measurement system errors

Process capability indices and X ¯ $$\overline{X}$$ , R control chart limit adjustments... This paper investigates the effects of measurement system variability arising from evaluations of process capabilities. In this work, relationships between true process capability indices, C p,True and C pm,True, and their corresponding observed indices, C p,Obs and C pm,Obs, are developed depending on the levels of type I and II errors. Moreover, the method for adjusting control chart limits used to monitor the process is proposed based on measurement system variability. An industrial case study is used to highlight the findings of this investigation and to discuss the adjustment levels that should be conducted depending on the values of type I and type II errors. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The International Journal of Advanced Manufacturing Technology Springer Journals

# Process capability indices and X ¯ $$\overline{X}$$ , R control chart limit adjustments by taking into account measurement system errors

, Volume 95 (8) – Nov 16, 2017
12 pages

/lp/springer_journal/process-capability-indices-and-x-overline-x-r-control-chart-limit-84UD3onwlD
Publisher
Springer Journals
Subject
Engineering; Industrial and Production Engineering; Media Management; Mechanical Engineering; Computer-Aided Engineering (CAD, CAE) and Design
ISSN
0268-3768
eISSN
1433-3015
D.O.I.
10.1007/s00170-017-1324-8
Publisher site
See Article on Publisher Site

### Abstract

This paper investigates the effects of measurement system variability arising from evaluations of process capabilities. In this work, relationships between true process capability indices, C p,True and C pm,True, and their corresponding observed indices, C p,Obs and C pm,Obs, are developed depending on the levels of type I and II errors. Moreover, the method for adjusting control chart limits used to monitor the process is proposed based on measurement system variability. An industrial case study is used to highlight the findings of this investigation and to discuss the adjustment levels that should be conducted depending on the values of type I and type II errors.

### Journal

The International Journal of Advanced Manufacturing TechnologySpringer Journals

Published: Nov 16, 2017

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