A Variables Repetitive Group Sampling Plan for Minimizing Average Sample Number

평균 샘플 수 최소화를 통한 계량형 반복 샘플링 검사의 설계

  • Park, Heekon (Division of Mechanical and Industrial Engineering, Pohang University of Science and Technology) ;
  • Moon, Young-gun (Division of Mechanical and Industrial Engineering, Pohang University of Science and Technology) ;
  • Jun, Chi-Hyuck (Division of Mechanical and Industrial Engineering, Pohang University of Science and Technology) ;
  • Balamurali, S. (Division of Mechanical and Industrial Engineering, Pohang University of Science and Technology) ;
  • Lee, Jaewook (Division of Mechanical and Industrial Engineering, Pohang University of Science and Technology)
  • 박희곤 (포항공과대학교 기계산업공학부) ;
  • 문영건 (포항공과대학교 기계산업공학부) ;
  • 전치혁 (포항공과대학교 기계산업공학부) ;
  • ;
  • 이재욱 (포항공과대학교 기계산업공학부)
  • Published : 2004.09.30

Abstract

This paper proposes the variables repetitive group sampling plan where the quality characteristic following normal distribution has upper or lower specification limit. The problem is formulated as a non-linear programming problem where the objective function to minimize is the average sample number and the constraints are related to lot acceptance probabilities at acceptable quality level (AQL) and limiting quality level (LQL) under the operating characteristic curve. Sampling plan tables are constructed for the selection of parameters indexed by AQL and LQL in the cases of known standard deviation and unknown standard deviation. It is shown that the proposed sampling plan significantly reduces the average sample number as compared with the single or the double sampling plan.

Keywords

References

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