와이블 고장모형 하에서의 이중샘플링 T2 관리도의경제적-통계적 설계 (이중샘플링 T2 관리도의 경제적-통계적 설계)

• Published in: 품질경영학회지 Vol. 43; no. 4; pp. 471 - 487
• Main Authors: 서양모, Yang Mo Seo, 홍성옥, Seong Ok Hong, 이민구, Min Koo Lee
• Format: Journal Article
• Language: Korean
• Published: 한국품질경영학회 31.12.2015
• Subjects: Double Sampling; Economic-Statistical Design; T2 Control Chart; Weibull Failure Model
• ISSN: 1229-1889

Purpose: Double sampling T2 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 T2 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 T2 chart. Sensitivity analysis is performed to see the parameter effects.Results: The proposed design outperforms the optimal design of the single sampling T2 chart in terms of the expected cost per unit time and Type-I error rate for all the numerical examples considered.Conclusion: Double sampling T2 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.