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A Study of The reference value of the CUSUM control chart that can detect small average changes in the process

  • Journal of The Korea Society of Computer and Information
  • Abbr : JKSCI
  • 2020, 25(12), pp.73-82
  • DOI : 10.9708/jksci.2020.25.12.073
  • Publisher : The Korean Society Of Computer And Information
  • Research Area : Engineering > Computer Science
  • Received : November 19, 2020
  • Accepted : November 27, 2020
  • Published : December 31, 2020

Chun, Sang Pyo 1

1남서울대학교

Accredited

ABSTRACT

Most process date such as semiconductor and petrochemical processes, autocorrelation often exists between observed data, but when the existing SPC(Statistical process control) is applied to these processes, it is not possible to effectively detect the average change of the process. In this paper, when the average change of a certain size occurs in the process data following a specific time series model, the average of the residuals changes according to the passage of time, and the change pattern of the average is introduced around the ARMA(1,1) process. Based on this result, the reference value required in the design process of the CUSUM (Cumulative sum) control chart is appropriately considered by considering the type of the time series model of the process data of the CUSUM control chart that can detect small mean changes in the process and the width of the process mean change of interest. It was confirmed through simulation that it should be selected and used.

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