Process capability indices are widely used in industries and quality assurance system. When designing the parameter on the multiple quality characteristics, there has been a study for optimization of problems, but there has been few former study on the possible conflicting phenomena in considertion of the correlations among the characteristics. To solve the issue on the optimal design for muliple quality characteristics, the study propose the expected loss function with cross-product terms among the characteristics and derived range of the coefficients of terms. Therefore, the analysis have to be required a multivariate statistical technique. This paper introduces to multivariate capability indices and then selects a multivariate process capability index incorporated both the process variation and the process deviation from target among these indices under the multivariate normal distribution. We propose a new multivariate capability index MCpm using quality loss function instead of the process variation and this index is compared with the proposed indices when quality characteristics are independent and dependent of each other,

Process capability indices are widely used in industries and quality assurance system. When designing the parameter on the multiple quality characteristics, there has been a study for optimization of problems, but there has been few former study on the possible conflicting phenomena in considertion of the correlations among the characteristics. To solve the issue on the optimal design for multiple quality characteristics, the study propose the expected loss function with cross-product terms among the characteristics and derived range of the coefficients of terms. Therefore, the analysis have to be required a multivariate statistical technique. This paper introduces to multivariate capability indices and then selects a multivariate process capability index incorporated both the process variation and the process deviation from target among these indices under the multivariate normal distribution. We propose a new multivariate capability index MCpm using quality loss function instead of the process variation and this index is compared with the proposed indices when quality characteristics are independent and dependent of each other.

하천에 오염물질이 순간적으로 유입된 경우에는 연속적인 유입의 경우와 다르게 분산계수의 변화에 따라 오염물질의 거동 특성이 민감하게 변한다. 하천에 순간적으로 유입된 오염물질의 거동특성을 분석하기 위하여 한강하류부에서 수리인자 및 수질인자를 실측하였다. 분산계수 추정에 사용되는 경험식에 실측된 수리인자를 적용하여 갈수시 한강하류부의 분산계수의 규모를 분석하고, 적용 가능성이 큰 경험식을 제시하였다 또한, 실측된 수질인자를 RMA-4 모형의 계산치와 비교하