대용변수를 이용한 가변형 부분군 크기 X 관리도의 경제적 설계
Economic Design of Variable Sample Size X Control Chart Using a Surrogate Variable
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Purpose: This paper proposes a VSS(Variable Sample Size) X control chart using surrogate variable and shows its effectiveness compared with FSS(Fixed Sample Size) X control chart using either performance variable or surrogate variable. Methods: The expected cost function of VSS X control chart is derived. The optimal designs are then found for numerical examples using a GA(genetic algorithm) and compared to those of the FSS X control charts. Results: Computational results show that VSS X control chart using surrogate variables is superior to FSS X control chart using either performance variable or surrogate variable from the economic view points. Conclusion: The proposed VSS X control chart will be useful in industry fields where a performance variable is not avaliable or too costly.
Abstract
Purpose: This paper proposes a VSS(Variable Sample Size) X control chart using surrogate variable and shows its effectiveness compared with FSS(Fixed Sample Size) X control chart using either performance variable or surrogate variable. Methods: The expected cost function of VSS X control chart is derived. The optimal designs are then found for numerical examples using a GA(genetic algorithm) and compared to those of the FSS X control charts. Results: Computational results show that VSS X control chart using surrogate variables is superior to FSS X control chart using either performance variable or surrogate variable from the economic view points. Conclusion: The proposed VSS X control chart will be useful in industry fields where a performance variable is not avaliable or too costly.
참고문헌 (16)
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