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대용변수를 이용한 가변형 부분군 채취 간격 X 관리도의 경제적 설계
이태훈(Tae-Hoon Lee),이주호(Jooho Lee),이민구(Minkoo Lee) 대한산업공학회 2013 대한산업공학회지 Vol.39 No.5
In many cases, an X control chart which is based on the performance variable is used in industrial fields. However, if the performance variable is too costly or impossible to measure and a less expensive surrogate variable is available, the process may be more efficiently controlled using surrogate variables. In this paper, we propose a model for the economic design of a VSI (Variable Sampling Interval) X control chart using a surrogate variable that is linearly correlated with the performance variable. The total average profit model is constructed, which involves the profit per cycle time, the cost of sampling and testing, the cost of detecting and eliminating an assignable cause, and the cost associated with production during out-of-control state. The VSI X control charts using surrogate variables are expected to be superior to the Shewhart FSI (Fixed Sampling Interval) X control charts using surrogate variables with respect to the expected profit per unit cycle time from economic viewpoint.
조은경(Eun-Kyung Jo),이민구(Minkoo Lee) 대한산업공학회 2015 대한산업공학회지 Vol.41 No.6
Statistical process control techniques have been greatly implemented in industries for improving product quality and saving production costs. As a primary tool among these techniques, control charts are widely used to detect the occurrence of assignable causes. In most works on the control charts it considered the problem of monitoring the mean and variance, and the quality characteristic of interest is normally distributed. In some situations monitoring of the minimum and maximum values is more important and the quality characteristic of interest is the Weibull distribution rather than a normal distribution. In this paper, we consider the statistical design of minimum and maximum control charts when the distribution of the quality characteristic of interest is Weibull. The proposed minimum and maximum control charts are applied to the wind data. The results of the application show that the proposed method is more effective than traditional methods.