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Comparison of Rigorous Design Procedure with Approximate Design Procedure for Variable Sampling Plans Indexed by Quality Loss -
분야 공학 > 산업공학
저자 Yoma Ishii Ikuo Arizono Ryosuke Tomohiro Yasuhiko Takemoto
발행기관 대한산업공학회
간행물정보 Industrial Engineering & Management Systems 2016년, Industrial Engineering & Management Systems Vol.15 No.3, 231page~238page(총8page)
파일형식 3085721 [다운로드 무료 PDF 뷰어]
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목차
부제 :
ABSTRACT
1. INTRODUCTION
2. BRIEF OF DESIGN PROBLEM OF VS-OC PLAN INDEXED BY QUALITY LOSS
3. PROPOSAL OF CALCULATION ALGORITHM FOR PERCENTILE OF NON-CENTRAL CHI-SQUARE DISTRIBUTION BASED ON CONFLUENT HYPERGEOMETRIC FUNCTION
4. APPROXIMATE DESIGN PROCEDURE CONSTRUCTED BY ARIZONO ET AL.
5. NUMERICAL EXAMPLES
6. CONCLUSION
REFERENCES
 
 
영문초록
Traditional acceptance sampling plans have focused on the proportion of nonconforming items as an attribute criterion for quality. In today’s modern quality management under high quality production environments, the reduction of the deviation from a target value in a quality characteristic has become the most important purpose. In consequence, various inspection plans for the purpose of reducing the deviation from the target value in the quality characteristic have been investigated. In this case, a concept of the quality loss evaluated by the deviation from the target value has been accepted as the variable evaluation criterion of quality. Further, some quality measures based on the quality loss have been devised; e.g. the process loss and the process capability index. Then, as one of inspection plans based on the quality loss, the rigorous design procedure for the variable sampling plan having desired operating characteristics (VS-OC plan) indexed by the quality loss has been proposed by Yen and Chang in 2009. By the way, since the estimator of the quality loss obeys the non-central chi-square distribution, the rigorous design procedure for the VS-OC plan indexed by the quality loss is complicated. In particular, the rigorous design procedure for the VS-OC plan requires a large number of the repetitive and complicated numerical calculation about the non-central chi-square distribution. On the other hand, an approximate design procedure for the VS-OC plan has been proposed before the proposal of the above rigorous design procedure. The approximate design procedure for the VS-OC plan has been constructed by combining Patnaik approximation relating the non-central chi-square distribution to the central chi-square distribution and Wilson-Hilferty approximation relating the central chi-square distribution to the standard normal distribution. Then, the approximate design procedure has been devised as a convenient procedure without complicated and repetitive numerical calculations. In this study, through some comparisons between the rigorous and approximate design procedures, the applicability of the approximate design procedure has been confirmed.
 
 
Operating Characteristics, Patnaik Approximation, Wilson-Hilferty Approximation, Non-Central Chi-Square Distribution
 
 
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