• 대한산업공학회지
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• 제29권4호
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• pp.334-344
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• 2003

A mixture experiment is a special type of response surface experiment in which factors are the ingredients or components of a mixture, and the response is a function of the proportions of each ingredient. Evolutionary operation is useful to improve on-line full-scale manufacturing process by systematically changing the levels of the process variables without jeopardizing the product. This paper presents an evolutionary operation procedure with mixture variables for large-scale mixture production process which can be beneficial to practitioners who should improve on-line mixture quality while maintaining the production amount of the mixture product.

• Journal of the Korean Data and Information Science Society
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• 제18권3호
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• pp.745-755
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• 2007

The concept of slope rotatability introduced by Hader and Park(1978) is available when we are interested in the difference of the responses. Since there can be constraints on the factor levels in mixture experiments, there arises a need for adaptation of the concept of slope rotatability and the measure to assess it. In this article, measures of slope rotatability in mixture experiments are proposed to quantify the amount of slope rotatability for a given design. Measures for a restricted region design as well as for an unrestricted region design are presented. Then, the designs having different optimalities are compared with respect to these measures by some examples.

• 한국방사성폐기물학회:학술대회논문집
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• 한국방사성폐기물학회 2004년도 Proceedings of the 4th Korea-China Joint Workshop on Nuclear Waste Management
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• pp.28-41
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• 2004

The study is aimed to assess the usefulness of the mixture design for spent resin immobilization in cement. Although a considerable amount of research has been carried out to determine the limits for the composition of an acceptable resin-cement mixture, no efficient experimental strategy exists that explores the full properties of waste form against composition relationship. In order to gain an overall view, this report introduces the method of mixture design and mixture analysis, and describes the design of experiment of the 5-component mixture with the constraint conditions. The mathematic models of 28-day compressive strength varying with the ingredients are fitted, and the main effect and interaction effect of two ingredients are identified quantitatively along with the graphical interpretation using the response trace plot and contour plots.

• 공업화학
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• 제32권5호
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• pp.574-580
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• 2021

최고 품질의 클렌징 제품 개발을 위해서 계면활성제 혼합물 조성의 최적화를 시도하였다. 사전실험을 통해 세정력, 기포형성력, 오염률에서 각각 우수한 특성을 나타내는 계면활성제 3종 sodium cocoyl alaninate (SCoA), cocamidopropyl betaine (CPB), decyl glucoside (DG)을 선정하였다. 계면활성제 혼합물의 심플렉스 중심 설계 배열에 따른 실험을 수행하고, 실험에서 얻어진 데이터를 가지고 회귀분석을 실시하였다. 통계적으로 유의미한 반응 표면 모델식을 구하고, 세 개의 반응변수의 동시 최적화 과정을 통해 계면활성제 혼합물의 최적 조성은 SCoA (0.22), CPB (0.78), DG (0.00)으로 구해졌다.

• 산업기술연구
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• 제22권A호
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• pp.83-87
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• 2002

Many industrial products such as paints, ink and adhesives are composed of the ingredients of a mixture. In mixture experiments, the characteristics of quality(response) depends only on the proportions of the ingredients and does not depend on the total amount of the mixture. This article discusses the constrained mixture experimental design, the data analysis, and the optimum formulation of ingredients based on the two quality characteristics - taste and flavor. It IS shown that efficient designs can be constructed from D-optimal criterion. Special cubic models were selected as the final mixture response surfaces for both reponses. The desirability function was used for the optimization of the two responses.

• 품질경영학회지
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• 제50권1호
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• pp.169-181
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• 2022

Purpose: This paper addresses a case study of developing a flame retardant wood-plastic composites (WPC) by adding tannic acid to the existing synthetic wood. The optimal mixing ratios of six components are explored to minimize the burning time using two mixture designs. Methods: In the preliminary experiment, six components are considered to find important components and their ranges. Seven D-optimal mixture design points are generated. Two points are removed for the balance of plastic components to be maintained, and the remaining five points are augmented with two basic compositions. Four components are selected to be considered in the main experiment. In the main experiment, pellets are extruded at the eight mixture design points. In-house testing of burning time is executed three times. Specimens made of pellets from two promising flame retardant compositions are sent to the accredited laboratories and tested. Results: The test results are as follows: 1) The best composition (Wood flour, Tannic acid, PE, Lubricant) = (25, 41, 10, 2) (wt%) shows the burning time of 1 second, which is 9-fold improvement compared to the the burning time of 9 seconds from the existing composition (58, 0, 10, 2) (wt%). 2) The second best composition (41, 25, 10, 2) (wt%) results in the burning time of 2 seconds. This composition is inferior to the best composition in terms of the flame retardancy, but more economical since it needs less tannic acid which is 100-fold expensive than the wood flour. Conclusion: Flame retardant compositions are found by adding tannic acid to the existing WPC employing optimal mixture designs. This case study will be helpful to practitioners who try to develop new products with additional physical properties with as small number of experimental trials as possible. Future research direction includes exploring conditions which satisfy both performance level and cost limitation simultaneously.

• Composites Research
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• 제34권5호
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• pp.330-336
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• 2021

알루미나 파우더는 산업용으로 널리 사용되는 소재 중 하나이지만 파우더 패킹 상태에 따라 제품의 강도가 변하는 문제점이 있다. 위 문제해결을 위하여 입자 패킹효율을 높이려는 많은 선행연구들이 수행되었지만, 기존 연구는 밀리미터 스케일의 입자의 충진 특성을 분석한 것이 대부분이므로 마이크로미터 스케일과 물리적 특성이 달라, 그 선행연구 결과를 토대로 마이크로미터 스케일에 적용하기 어렵다. 따라서 본 논문에서는 마이크로미터 스케일의 알루미나 파우더를 이용하여 충진률을 높이기 위하여 통계적방법을 이용하여 3단계 실험을 수행하였다. 먼저, 혼합물시험계획법을 이용하여 충진율이 높은 크기 조합 및 혼합 비율을 선정하였으며, 진동 실험장치에서 가진 주파수 변경에 따른 충진 높이 변화를 분석하여 적정 가진 주파수를 선정하였다. 마지막으로 앞서 언급한 실험 결과값을 토대로 알루미나 파우더 충진율 시험을 수행하였다. 그 결과, 최대 높이 변화량은 충진 크기조합 선정을 위해 수행한 최초의 실험 결과 최댓값보다 42% 향상된 것을 확인하였다.

• Korean Chemical Engineering Research
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• 제51권6호
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• pp.677-684
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• 2013

혼합냉매를 사용하여 천연가스를 액화하는 혼합냉매공정(Mixed refrigerant cycle, MRC)은 공정이 간단하고 장치비가 적게 들며 운전 또한 용이하여 널리 채택되고 있는 공정이다. MRC에서 중요한 기술 중 하나는 혼합냉매를 선택하고 최적의 혼합비를 결정하는 것이다. 본 연구에서는 일반적인 MRC에서 혼합냉매와 혼합냉매의 혼합비가 공정의 성능에 미치는 효과를 살펴보았다. 이를 위해 통계적 기법 중 실험계획법의 하나인 혼합물 설계와 반응 표면법을 이용하여 전체 공정의 에너지 소비가 최소가 되게 하는 최적의 냉매를 선택하고 그 혼합비를 결정하였다. 여러 냉매와 혼합비에 따른 MRC 공정의 모사는 Aspen HYSYS를 사용하였으며 혼합물설계와 반응 표면법은 Minitab을 사용하였다. 연구결과 냉매로는 methane ($C_1$), ethane ($C_2$), propane ($C_3$)과 nitrogen ($N_2$)가 선택되었으며 에너지 소비를 최소화하는 혼합비(몰 비) 또한 구할 수 있었다.

• 한국산학기술학회논문지
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• 제13권3호
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• pp.1002-1007
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• 2012

Pillar의 제조 방법은 진공유리 및 반도체 디스플레이 분야에서 사용되는 핵심공정 중 하나이다. Pillar는 스크린 인쇄 방식을 통하여 배치할 수 있으나 시료의 성분에 따라 메탈마스크의 패턴을 전부 통과하지 못하거나 점도에 따라 통과된 혼합물이 본래의 형상을 유지 못하는 경우가 발생한다. 본 연구에서는 알루미나와 실리카 기반의 무기화합물을 이용하여 스크린 인쇄를 통해 pillar를 배치하였다. 실험계획법의 하나인 혼합물 설계를 이용함으로써 실험횟수를 줄이고 진공유리 pillar의 조성을 설계할 수 있는 방법을 제시하고자 한다.

• 한국환경과학회지
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• 제29권8호
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• pp.793-800
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• 2020

The conventional development of multi-component electrodes is based on the researcher's experience and is based on trial and error. Therefore, there is a need for a scientific method to reduce the time and economic losses thereof and systematize the mixing of electrode components. In this study, we use design of mixture experiments (DOME)- in particular a simplex lattice design with Design Expert^Ⓡ program- to attempt to find an optimum mixing ratio for a three-component electrode for the high RNO degradation; RNO is an indictor of OH radical formation. The experiment included 12 experimental points with 2 center replicates for 3 different independent variables (with the molar ratio of Ru, Ti, Ir). As the Prob > F value of the 'Quadratic' model is 0.0026, the secondary model was found to be suitable. Applying the molar ratio of the electrode components to the corrected response model results is an RNO removal efficiency (%) = 59.89 × [Ru] + 9.78 × [Ti] + 67.03 × [Ir] + 66.38 × [Ru] × [Ir] + 132.86 × [Ti] × [Ir]. The R² value of the equation is 0.9374 after the error term is excluded. The optimized formulation of the ternary electrode for an high RNO degradation was acquired when the molar ratio of Ru 0.100, Ti 0.200, Ir 0.700 (desirability d value, 1).