와이블 고장모형 하에서 경고한계를 고려한 X 관리도의 경제적 설계
Economic Design of X-Control Charts with Warning Limits under Weibull Failure Model
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Since Duncan(1956) first proposed an economic design of X-control charts, most of the succeeding works on economic design of control charts assumed the exponential failure model like Duncan. Hu(1984), however,assumed a more versatile Weibull failure model to develop an economic design of X-control charts and Banerjee and Rahim(1988) further improved Hu’s design by changing the assumption of fixed-length sampling intervals to variable-length ones. In this article we follow the approach of Banerjee and Rahim(1988) but include a pair of warning limits inside the control limits in order to search for a failure without stopping the process when the sample mean falls between warning and control limits. The computational results indicate that the proposed model gives a lower cost than Banerjee and Rahim’s model unless the early failure probability of a Weibull distribution is relatively large. The reduction in cost is shown to become larger as the cost of production loss outweighs the cost of searches for a failure.
Abstract
Since Duncan(1956) first proposed an economic design of X-control charts, most of the succeeding works on economic design of control charts assumed the exponential failure model like Duncan. Hu(1984), however,assumed a more versatile Weibull failure model to develop an economic design of X-control charts and Banerjee and Rahim(1988) further improved Hu’s design by changing the assumption of fixed-length sampling intervals to variable-length ones. In this article we follow the approach of Banerjee and Rahim(1988) but include a pair of warning limits inside the control limits in order to search for a failure without stopping the process when the sample mean falls between warning and control limits. The computational results indicate that the proposed model gives a lower cost than Banerjee and Rahim’s model unless the early failure probability of a Weibull distribution is relatively large. The reduction in cost is shown to become larger as the cost of production loss outweighs the cost of searches for a failure.
참고문헌 (15)
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