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Department of Mathematics and Applied Mathematics

Cumulative sum quality control charts design and applications

Abstract

dc:description.abstract

Classical Statistical Process Control Charts are essential in Statistical Control exercises and thus constantly obtained attention for quality improvements. However, the establishment of control charts requires large-sample data (say, no less than I 000 data points). On the other hand, we notice that the small-sample based Grey System Theory Approach is well-established and applied in many areas: social, economic, industrial, military and scientific research fields. In this research, the short time trend curve in terms of GM( I, I) model will be merged into Shewhart and CU SUM two-sided version control charts and establish Grey Predictive Shewhart Control chart and Grey Predictive CUSUM control chart. On the other hand the GM(2, I) model is briefly checked its of how accurate it could be as compared to GM( I, 1) model in control charts. Industrial process data collected from TBF Packaging Machine Company in Taiwan was analyzed in terms of these new developments as an illustrative example for grey quality control charts.

Degree

thesis:*
Grantor dc:publisher.institution
Department of Mathematics and Applied Mathematics
Year dc:date.issued
2006

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Kesupile, Galeboe
Advisor dc:contributor.advisor
  • Guo, Renkuan

Rights

Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/11427/17212
OAI identifier oai:identifier
oai:open.uct.ac.za:11427/17212

Chain of custody

source
Harvested from
University of Cape Town
Base URL
open.uct.ac.za/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Kesupile, Galeboe. Cumulative sum quality control charts design and applications. Department of Mathematics and Applied Mathematics, 2006. http://hdl.handle.net/11427/17212