Process capability indices C p and C pk under AR (2) process

Mahesh M. Deshpande and Vikas B. Ghute

International Journal of Industrial and Systems Engineering, 2025, vol. 49, issue 2, 158-173

Abstract: Process capability indices are widely used by quality practitioners to quantify the capability of given manufacturing processes. The process capability indices C_p and C_pk are based on the assumptions of independence and normality of the process characteristic. Many authors have reported that ignoring the autocorrelation present in the process characteristics leads to wrong decisions. In this paper, the effect of the autocorrelation on the capability indices C_p and C_pk is discussed. The second order autoregressive process AR (2) is considered to model the data from an autocorrelated process. To reduce the effect of autocorrelation on the indices and the skip and mixed sampling techniques are implemented to form rational subgroups in the design of these indices. Results based on simulation study confirm that both the techniques improve estimates of capability indices C_p and C_pk significantly.

Keywords: process capability index; subgroup; autoregressive process; s-skip and mixed sampling. (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=144405 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijisen:v:49:y:2025:i:2:p:158-173

Access Statistics for this article

More articles in International Journal of Industrial and Systems Engineering from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().