A study of cumulative sum (x̄, s) control charts

Yasuhiko Takemoto, Kyouko Watakabe, Ikuo Arizono

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The cumulative sum (CUSUM) control chart is known to be sensitive to a slight change of the process quality characteristics. The design of this control chart is based on a series of cumulative sums of the statistic derived from the data. For normally distributed characteristics, it is necessary to monitor both changes of the mean and variance simultaneously. However, it is difficult to design a joint CUSUM x̄ - R or x̄ - s control chart using the statistics x̄ and s or R jointly. Kanagawa et al. proposed a (x̄, s) control chart which enables the user to monitor both changes of the mean and variance simultaneously based on one statistic for normally distributed characteristics. When the CUSUM control chart is considered based on the (x̄, s) control chart, it is possible to design and use the CUSUM control chart more easily than the joint CUSUM x̄ and either the R or s control charts. We consider a CUSUM (x̄, s) control chart in order to improve the performance for a slight change of the process quality characteristics. The economical operation of the CUSUM (x̄, s) control chart is also considered.

Original languageEnglish
Pages (from-to)1873-1886
Number of pages14
JournalInternational Journal of Production Research
Volume41
Issue number9
DOIs
Publication statusPublished - Jun 15 2003
Externally publishedYes

Fingerprint

Statistics
Control charts
Cumulative sum
Quality characteristics
Process quality

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Management Science and Operations Research

Cite this

A study of cumulative sum (x̄, s) control charts. / Takemoto, Yasuhiko; Watakabe, Kyouko; Arizono, Ikuo.

In: International Journal of Production Research, Vol. 41, No. 9, 15.06.2003, p. 1873-1886.

Research output: Contribution to journalArticle

Takemoto, Yasuhiko ; Watakabe, Kyouko ; Arizono, Ikuo. / A study of cumulative sum (x̄, s) control charts. In: International Journal of Production Research. 2003 ; Vol. 41, No. 9. pp. 1873-1886.
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