X̅ Charts with Variable Control and Warning Limits

Mahadik Shashibhushan B. ()
Additional contact information
Mahadik Shashibhushan B.: Department of Statistics, Solapur University, Solapur, India 413255

Stochastics and Quality Control, 2013, vol. 28, issue 2, 117-124

Abstract: Adaptive control charts deliver significantly better performances than that of static control charts. However, the frequent switches between sampling interval lengths and/or between sample sizes can be a complicating factor in the administration of these charts. This factor is totally absent for the adaptive chart proposed in this paper. The proposed chart is an X̅ chart with variable control and warning limits (VCWL). Expressions for the performance measures for this chart are developed. The methods presented are general and can be applied to other Shewhart control charts. The performances of VCWL X̅ charts are compared numerically with that of static X̅ charts. It is observed that the idea of VCWL significantly improves the performances of X̅ charts in detecting small to moderate shifts in the process mean without affecting that in detecting large shifts.

Keywords: Adaptive Control Charts; Average Run Length; Statistical Process Control; Markov Chain; Adaptive Control Charts; Average Run Length; Statistical Process Control; Markov Chain (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/eqc-2013-0019 (text/html)
For access to full text, subscription to the journal or payment for the individual article is required.

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:bpj:ecqcon:v:28:y:2013:i:2:p:8:n:6

Ordering information: This journal article can be ordered from
https://www.degruyter.com/journal/key/eqc/html

DOI: 10.1515/eqc-2013-0019

Access Statistics for this article

Stochastics and Quality Control is currently edited by George P. Yanev

More articles in Stochastics and Quality Control from De Gruyter
Bibliographic data for series maintained by Peter Golla ().