Economic Design of $\bar{X}$ Control Chart Using a Surrogate Variable

대용변수를 이용한 $\bar{X}$ 관리도의 경제적 설계

  • Lee, Tae-Hoon (Nuclear Hydrogen Reactor Technology Development Division, Korea Atomic Energy Research Institute) ;
  • Lee, Jae-Hoon (Department of Information & Statistics, Chungnam National University) ;
  • Lee, Min-Koo (Department of Information & Statistics, Chungnam National University) ;
  • Lee, Joo-Ho (Department of Information & Statistics, Chungnam National University)
  • 이태훈 (한국원자력연구원 수소생산원자로기술개발부) ;
  • 이재훈 (충남대학교 정보통계학과) ;
  • 이민구 (충남대학교 정보통계학과) ;
  • 이주호 (충남대학교 정보통계학과)
  • Published : 2009.06.30

Abstract

The traditional approach to economic design of control charts is based on the assumption that a process is monitored using a performance variable. However, various types of automatic test equipments recently introduced as a part of factory automation usually measure surrogate variables instead of performance variables that are costly to measure. In this article we propose a model for economic design of a control chart which uses a surrogate variable that is highly correlated with the performance variable. The optimum values of the design parameters are determined by maximizing the total average income per cycle time. Numerical studies are performed to compare the proposed $\bar{X}$ control charts with the traditional model using the examples in Panagos et al. (1985).

Keywords

References

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