• 품질경영학회지
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• 제31권2호
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• pp.117-130
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• 2003

This paper investigates the economic design of synthetic control charts. The synthetic control chart has been proven to be statistically superior to the $\bar{X}$-control chart, but its economic characteristics have not been known. We develop an economic model of the synthetic control chart, based on Duncan's model. The synthetic chart has one more decision variable, the lower control limit for the conforming run length. In addition to this, the significance level and the power of the synthetic chart are more complicated than those of the $\bar{X}$-chart. These features make the optimization problem more difficult. We propose an optimization algorithm by adapting the congruent gradient algorithm. We compare the optimal cost of the synthetic chart with that of (equation omitted)-control chart, under the same input parameter set of Duncan’s. For all cases investigated, the synthetic chart shows superior to the $\bar{X}$-chart. The synthetic control chart is easy to implement, and it has better characteristics than the $\bar{X}$-chart in economical sense as well as in statistical sense, so it will be a good alternative to the traditional control charts.

• 품질경영학회지
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• 제33권1호
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• pp.1-10
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• 2005

This paper develops a new VSI $\={X}-CRL$ synthetic control chart that considers convenience of use in the field, and perception of change of process applying VSI techniques to synthetic control chart, simultaneously. We found the optimal sampling interval and various control limit factor of the suggested chart using markov chain. Comparison and analysis is carried out between synthetic VSI $\={X}-CRL$ chart and other chart in the statistical aspect; $\={X}$ control chart, VSI $\={X}$ chart, another synthetic chart. In case that the process follows normal distribution, the proposed VSI $\={X}-CRL$ synthetic control chart in detecting process mean shift showed the best performance in aspect of statistical performance, regardless of control limit L of CRL/S control chart.

• Industrial Engineering and Management Systems
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• 제4권2호
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• pp.158-164
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• 2005

Kusukawa and Ohta presented the $CS_{CQ-r}$ chart to monitor the process defect $rate{\lambda}$ in high-yield processes that is derived from the count of defects. The $CS_{CQ-r}$ chart is more sensitive to $monitor{\lambda}$ than the CQ (Cumulative Quantity) chart proposed by Chan et al.. As a more superior chart in high-yield processes, we propose a Synthetic chart that is the integration of the CQ_-r chart and the $CS_{CQ-r}$chart. The quality characteristic of both charts is the number of units y required to observe r $({\geq}2)$ defects. It is assumed that this quantity is an Erlang random variable from the property that the quality characteristic of the CQ chart follows the exponential distribution. In use of the proposed Synthetic chart, the process is initially judged as either in-control or out-of-control by using the $CS_{CQ-r}$chart. If the process was not judged as in-control by the $CS_{CQ-r}$chart, the process is successively judged by using the $CQ_{-r}$chart to confirm the judgment of the $CS_{CQ-r}$chart. Through comparisons of ARL (Average Run Length), the proposed Synthetic chart is more superior to monitor the process defect rate in high-yield processes to the stand-alone $CS_{CQ-r}$ chart.

• 한국경영과학회지
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• 제30권4호
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• pp.1-14
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• 2005

We propose a VSSI-CRL(Variable Sampling Size and Samplina Interval-Conforming Run length) synthetic control chart in order to improve the statistical characteristics of both the VSSI chart and the CRL synthetic chart. The VSSI-CRL chart utilizes VSSI sampling scheme, but it produces a signal only when the CRI is less than a given limit. An algorithm for calculating the ARL(Average Run length) and ATS(Average Time to Signal) of the VSSI-CRL chart is developed by employing Markov chain method. We present some lemmas for describing the statistical characteristics of the VSSI-CRL chart under in-control state. A procedure for designing the VSSI-CRL chart is proposed based on the lemmas. Extensive comparative studios show that the VSSI-CRL chart is superior to the CRL synthetic chart or the VSSI chart in general, and is comparable to the EWMA chart in ATS performance.

• Industrial Engineering and Management Systems
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• 제7권2호
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• pp.101-112
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• 2008

As charts to monitor the process fraction defectives, P, in the high-yield processes, Mishima et al. (2002) discussed a synthetic chart, the Synthetic CS chart, which integrates the CS (Confirmation Sample)$_{CCC(\text{Cumulative Count of Conforming})-r}$ chart and the CCC-r chart. The Synthetic CS chart is designed to monitor quality characteristics in real-time. Recently, Kotani et al. (2005) presented the EWMA (Exponentially Weighted Moving-Average)$_{CCC-r}$ chart, which considers combining the quality characteristics monitored in the past with one monitored in real-time. In this paper, we present an alternative chart that is more superior to the $EWMA_{CCC-r}$ chart. It is an integration of the $EWMA_{CCC-r}$ chart and the CCC-r chart. In using the proposed chart, the quality characteristic is initially judged as either the in-control state or the out-of-control state, using the lower and upper control limits of the $EWMA_{CCC-r}$ chart. If the process is not judged as the in-control state by the $EWMA_{CCC-r}$ chart, the process is successively judged, using the $EWMA_{CCC-r}$ chart. We compare the ANOS (Average Number of Observations to Signal) of the proposed chart with those of the $EWMA_{CCC-r}$ chart and the Synthetic CS chart. From the numerical experiments, with the small size of inspection items, the proposed chart is the most sensitive to detect especially the small shifts in P among other charts.

• 품질경영학회지
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• 제32권4호
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• pp.169-183
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• 2004

The synthetic control chart (SCC) proposed by Wu and Spedding (2000) is to detect shifts in the process mean. The performance was re-evaluated by Davis and Woodall (2002), and the steady-state average run length (ARL) performance was shown to be inferior to cumulative sum (CUSUM) or exponentially weighted moving average (EWMA) chart This paper proposes a simple adaptive scheme to improve the performance of the synthetic control chart. That is, once a non-conforming (NC) sample occurs, we investigate the next L-consecutive samples with larger sample sizes and shorter sampling intervals. We employ a Markov chain model to derive the ARL and the average time to s19na1 (ATS). We also propose a statistical design procedure for determining decision variables. Comprehensive comparative study shows that the proposed control chart is uniformly superior to the original SCC or double sampling (DS) Χ chart and comparable to the EWMA chart in ATS performance.

• 한국산업정보학회논문지
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• 제7권4호
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• pp.53-58
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• 2002

이 논문에서 개별 관측치를 이용한 Shewhart 관리도와 CRL 관리도로 이루어지는 수정된 합성 관리도를 구성한다. Shewhart X 관리도를 적용하여 관리한계선을 벗어나지 않으면 CRL 관리도를 적용하여 한 번 더 공정의 이상유무를 판단하는 2중 감지 공정관리기법을 고려한다. 합성 관리도에서 공정변화를 지적하는 감지력으로 평균 런의 길이()를 이용한다. 논문에서 제안된 수정된 합성 관리도는 We와 Spedding(2000a)이 제안한 합성 관리도와 Shewhart X 관리도보다 우수하며, EWM 관리도와는 성능면에서 매우 유사하다. 또한 공정변화가 0.75$\sigma$보다 클 때는 수정된 합성 관리도가 우수하다는 것을 확인할수 있다. 제시된 X-CRL 관리도를 평가하기 위해 조건부 확률을 계산하여 기존의 관리도와 비교한다.

• 산업경영시스템학회지
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• 제28권4호
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• pp.85-93
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• 2005

This paper is designed a VSI ${\overline{X}}$-CRL synthetic control chart in aspect of economy. We found the optimal sampling interval and various control limit factors under various cost parameters using cost function, proposed Lorenzen and Vance. Optimal design parameters include the sample size, control limit width, sampling interval, CRL/S chart control limit; L. Comparison and analysis of cost parameters are applied between synthetic VSI ${\overline{X}}$-CRL chart and FSI ${\overline{X}}$-CRL chart. The result of this paper shows that VSI ${\overline{X}}$-CRL chart brings cost-cutting effect of 3.04% control expense less than FSI control chart. It may not be difficult to establish the optimal economic control parameters to apply the practical cost parameters in the field.

• 한국건축시공학회지
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• 제20권3호
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• pp.245-252
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• 2020

합성수지 거푸집은 내부식성이 우수한 경량의 고밀도 폴리에틸렌(HDPE)를 재료로 사용한다. 합성수지 거푸집의 전과정 평가를 위하여 ISO FDIS 13352에서 요구하는 시스템 경계를 만족하도록 공정 흐름도를 고려하였다. 이에 따라 고려된 시스템 경계는 Cradle-to- Product shipmen이다. 고려된 시스템 경계에서 투입 에너지원, 사용재료, 운송수단, 제작공정 등으로부터 산정한 전과정 목록(LCI) 데이터베이스를 분석하였다. 합성수지 거푸집의 LCI 데이터 분석으로 부터 환경부의 환경영향평가지수 방법론에 기반하여 분류화, 정규화, 특성화 및 가중치 과정을 거쳐 환경영향평가를 수행하고, 그 결과는 유로폼의 환경영향 평가값과 비교하였다. 실험결과, 전용횟수를 고려한 CO₂ 배출량은 유로폼 대비 2배 이상의 전용성을 갖는 합성수지 거푸집이 약 32 % 가량 낮았다. 이는 합성수지 거푸집 사용은 유로폼 대비 자재 생산을 1/2로 줄일 수 있으며, CO₂ 배출량 저감으로 이어질 수 있다.

• 보존과학회지
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• 제36권5호
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• pp.351-367
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• 2020

신구법천문도 3점(국립민속박물관 소장 『천문도(병)』, 『신구법천문도 8폭 병풍』, 일본 국회도서관 소장 『황도남북양총성도』)에 대한 채색 안료 분석 및 이를 통한 제작시기를 추정하였다. 『천문도(병)』에서는 조선에서 널리 사용되어오던 석청(남동광), 청화(쪽), 석록(공작석), 하엽(아타카마이트), 주, 석간주(산화철), 연지(코치닐), 등황, 석자황, 연분, 활석 등과 같은 전통적인 유·무기질 안료들이 사용되었다. 『신구법천문도 8폭 병풍』와 『황도남북양총성도』에서는 19세기 중엽 이후 유럽에서 유입된 합성 무기안료인 양록(에메랄드 그린)과 양청(울트라마린 블루)가 사용되었다. 『신구법천문도 8폭 병풍』에서는 녹색과 청색에 합성 무기안료만 사용되었지만, 『황도남북양총성도』에서는 전통적으로 사용되어온 하엽과 청화도 함께 사용되었다. 신구법천문도의 성도와 도설 연구와 연계하여 안료 분석결과로부터 추정한 제작시기는, 조선시대 전통안료만으로 채색된 『천문도(병)』 18세기 중엽 이후로 추정되며, 『황도남북양총성도』와 『신구법천문도 8폭 병풍』은 19세기 중엽 서양의 녹색과 청색 안료가 도입된 후 제작되었다. 그리고 전통안료와 서양의 합성안료가 함께 사용된 『황도남북양총성도』가 『신구법천문도 8폭 병풍』 보다 제작시기가 빠른 것으로 추정된다.