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Journal of Korean Society for Quality Management 1994;22(2): 41-. |
캔 공정의 최적공정평균을 결정하는데 있어서 측정오차의 영향 |
홍성훈1, 이민구2 |
1전북대학교 산업공학과 2아주대학교 산업공학과 |
Effect of Measurement Error on the Determination of the Optimal Process Mean for a Canning Process |
Sung-Hoon Hong1, Min-Koo Lee2 |
1Dept. of Industrial Engineering, Chonbuk National University 2Dept. of Industrial Engineering, Ajou University |
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ABSTRACT |
Consider a canning process where cans are filled with an expensive ingredient. Cans weighting above the specified limit are sold in a regular market for a fixed price, and underfilled cans are emptied and refilled at the expense of a reprocessing cost. In this paper, the effect of measurement error on the determination of the optimal process mean for a canning process is examined. It is assumed that the quantity X of ingredient in a can is normally distributed with unknown mean and known variance, and the observed value Y of X is also normally distributed with known mean and variance. A profit model is constructed which involves selling price. cost of ingredients, reprocessing cost. and cost from an accepted nonconforming can, and methods of finding the optimal process mean and the cutoff value on Y are presented. It is shown that the optimal process mean increases. and the expected profit decreases when the measurement error is relatively large in comparison to the process variance. |
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