품질경영학회지 (Journal of Korean Society for Quality Management)

  • 제43권4호
  • /
  • Pages.471-488
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  • 2015
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  • 1229-1889(pISSN)
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  • 2287-9005(eISSN)
한국품질경영학회 (Korean Society for Quality Management)
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와이블 고장모형 하에서의 이중샘플링 T2 관리도의 경제적-통계적 설계 (이중샘플링 T2 관리도의 경제적-통계적 설계)

Economic-Statistical Design of Double Sampling T2 Control Chart under Weibull Failure Model

  • 홍성옥 (통계청 운영지원과) ;
  • 이민구 (충남대학교 정보통계학과) ;
  • 이주호 (충남대학교 정보통계학과)
  • Hong, Seong-Ok (General Services Division, Statistics Korea) ;
  • Lee, Min-Koo (Department of Information & Statistics, Chungnam National University) ;
  • Lee, Jooho (Department of Information & Statistics, Chungnam National University)
  • 투고 : 2015.05.15
  • 심사 : 2015.10.23
  • 발행 : 2015.12.31
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초록

Purpose: Double sampling $T^2$ chart is a useful tool for detecting a relatively small shift in process mean when the process is controlled by multiple variables. This paper finds the optimal design of the double sampling $T^2$ chart in both economical and statistical sense under Weibull failure model. Methods: The expected cost function is mathematically derived using recursive equation approach. The optimal designs are found using a genetic algorithm for numerical examples and compared to those of single sampling $T^2$ chart. Sensitivity analysis is performed to see the parameter effects. Results: The proposed design outperforms the optimal design of the single sampling $T^2$ chart in terms of the expected cost per unit time and Type-I error rate for all the numerical examples considered. Conclusion: Double sampling $T^2$ chart can be designed to satisfy both economic and statistical requirements under Weibull failure model and the resulting design is better than the single sampling counterpart.

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과제정보

연구 과제 주관 기관 : 충남대학교

참고문헌

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피인용 문헌

  1. Economic design of an attribute control chart for monitoring mean life based on multiple deferred state sampling pp.15241904, 2018, https://doi.org/10.1002/asmb.2419