품질경영학회지 (Journal of Korean Society for Quality Management)

  • 제44권4호
  • /
  • Pages.751-770
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  • 2016
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  • 1229-1889(pISSN)
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  • 2287-9005(eISSN)
한국품질경영학회 (Korean Society for Quality Management)
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성능변수와 대용변수를 이용한 3단계 $\bar{X}$ 관리도의 경제적 설계

Economic Design of Three-Stage $\bar{X}$ Control Chart Based on both Performance and Surrogate Variables

  • 곽신석 (대전광역시 기획조정실) ;
  • 이주호 (충남대학교 정보통계학과)
  • Kwak, Shin-Seok (Policy Planning Division, Daejeon City Hall) ;
  • Lee, Jooho (Department of Information & Statistics, Chungnam National University)
  • 투고 : 2016.07.29
  • 심사 : 2016.10.04
  • 발행 : 2016.12.31
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초록

Purpose: Two-stage ${\bar{X}}$ chart is a useful tool for process control when a surrogate variable may be used together with a performance variable. This paper extends the two-stage ${\bar{X}}$ chart to a three stage version by decomposing the first stage into the preliminary stage and the main stage. Methods: The expected cost function is derived using Markov-chain approach. The optimal designs are found for numerical examples using a genetic algorithm combined with a pattern search algorithm and compared to those of the two-stage ${\bar{X}}$ chart. Sensitivity analysis is performed to see the parameter effects. Results: The proposed design outperforms the optimal design of the two-stage ${\bar{X}}$ chart in terms of the expected cost per unit time unless the correlation between the performance and surrogate variables is modest and the shift in process mean is smallish. Conclusion: Three-stage ${\bar{X}}$ chart may be a useful alternative to the two-stage ${\bar{X}}$ chart especially when the correlation between the performance and surrogate variables is relatively high and the shift in process mean is on the small side.

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과제정보

연구 과제 주관 기관 : 충남대학교

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