The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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An Integrated Process Control Scheme Based on the Future Loss

미래손실에 기초한 통합공정관리계획

  • 박창순 (중앙대학교 수학통계학부) ;
  • 이재헌 (중앙대학교 수학통계학부)
  • Published : 2008.04.30
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Abstract

This paper considers the integrated process control procedure for detecting special causes in an ARIMA(0,1,1) process that is being adjusted automatically after each observation using a minimum mean squared error adjustment policy. It is assumed that a special cause can change the process mean and the process variance. We derive expressions for the process deviation from target for a variety of different process parameter changes, and introduce a control chart, based on the generalized likelihood ratio, for detecting special causes. We also propose the integrated process control scheme bases on the future loss. The future loss denotes the cost that will be incurred in a process remaining interval from a true out-of-control signal.

통합공정관리의 기본절차는 잡음이 내재하는 공정에 대하여 수정조치를 취하고, 수정활동 중 공정에 이상원인이 발생하면 관리도를 통하여 발생을 탐지하고 교정활동을 통하여 이를 제거하게 된다. 그러나 공정의 교정활동은 많은 시간과 비용을 수반하는 비생산적 요인을 유발할 수 있기 때문에 무조건적 교정활동은 생산성을 저하시키는 반대 급부도 동시에 내포하고 있다. 이 논문에서는 공정모형으로 ARIMA(0,1,1) 모형을 가정하고 공정 평균과 분산에 이상원인이 발생하는 경우 이를 탐지하는 절차를 소개하고, 이상신호의 시점에서 공정 잔여시간 동안 발생할 수 있는 미래손실에 기초하여 교정 활동의 여부를 판단하는 통합공정관리 절차를 제안한다.

Keywords

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