| 개선된 3 중 2 주 및 보조 런 규칙을 가진 X관리도의 통계적 설계 |
| 박진영1, 서순근2 |
1(주)삼덕스타필드
2동아대학교 산업경영공학과 |
| Statistical Design of X Control Chart with Improved 2-of-3 Main and Supplementary Runs Rules |
| Jin-Young Park1, Sun-Keun Seo2 |
1Samduk Stafild Co.
2Dept. of Industrial & Management Systems Engineering, Dong-A University |
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| ABSTRACT |
Purpose:
This paper introduces new 2-of-3 main and supplementary runs rules to increase the performance of the classical $ar{X}$ control chart for detecting small process shifts.
Methods:
The proposed runs rules are compared with other competitive runs rules by numerical experiments. Nonlinear optimization problem to minimize the out-of-control ARL at a specified shift of process mean for determining action and warning limits at a time is formulated and a procedure to find two limits is illustrated with a numerical example.
Results:
The proposed 2-of-3 main and supplementary runs rules demonstrate an improved performance over other runs rules in detecting a sudden shift of process mean by simultaneous changes of mean and standard deviation.
Conclusion:
To increase the performance in the detection of small to moderate shifts, the proposed runs rules will be used with $ar{X}$ control charts. |
| Key Words:
Action limit;Average Run Length;Runs Rule;Warning limit;$ar{X}$ Control Chart; |
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