Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
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Economic Analysis for Detection of Out-of-Control of Process Using 2 of 2 Runs Rules

2중 2 런규칙을 사용한 공정이상 감지방법의 경제성 분석

  • Kim, Young Bok (Department of Industrial Engineering, Seoul National University) ;
  • Hong, Jung Sik (Department of Industrial and Information Systems Engineering, Seoul National University of Technology) ;
  • Lie, Chang Hoon (Department of Industrial Engineering, Seoul National University)
  • 김영복 (서울대학교 산업공학과) ;
  • 홍정식 (서울산업대학교 산업정보시스템공학과) ;
  • 이창훈 (서울대학교 산업공학과)
  • Received : 2007.06.14
  • Accepted : 2008.02.28
  • Published : 2008.09.30
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Abstract

This research investigates economic characteristics of 2 of 2 runs rules under the Shewhart $\bar{X}$ control chart scheme. A Markov chain approach is employed in order to calculate the in-control average run length (ARL) and the average length of analysis cycle. States of the process are defined according to the process conditions at sampling time and transition probabilities are derived from the state definitions. A steady state cost function is constructed based on the Lorezen and Vance(1986) model. Numerical examples show that 2 of 2 runs rules are economically superior to the Shewhart $\bar{X}$ chart in many cases.

Keywords

References

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