Economical operation of the Cpm control chart for monitoring process capability index

Maiko Morita, Ikuo Arizono, Ippei Nakase, Yasuhiko Takemoto

Research output: Contribution to journalArticlepeer-review


Process capability indices are widely used to provide evaluation measures of process potential and performance. Especially, the process capability index Cpm, which is defined by the tolerance and deviation from the target, is called the Taguchi index. Boyles investigated the statistical characteristics of the Cpm esti-mator, and also proposed a methodology for the Cpm control chart. Needless to say, since the process capability index Cpm is based on the concept of the quality loss introduced by Taguchi, it basically relates to the concept of cost performance. In this article, we consider the economical operation of the C pm control chart in conformity with the expected total operation cost function based on the sampling cost, the sample cost and the surplus loss by means of ignoring the out-of-control state. Then, the economical operation of the Cpm control chart minimizing the total operation cost is investigated.

Original languageEnglish
Pages (from-to)128-136
Number of pages9
JournalJournal of Japan Industrial Management Association
Issue number2
Publication statusPublished - Dec 1 2008
Externally publishedYes


  • C control chart
  • Process capability index C
  • Taguchi's loss function

ASJC Scopus subject areas

  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics


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