• 제목/요약/키워드: Fractional factorial designs

검색결과 43건 처리시간 0.045초

Optimization of Medium Composition for Growth of Leuconostoc mesenteroides

  • 김현;엄현주;서동미;한남수
    • 한국생물공학회:학술대회논문집
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    • 한국생물공학회 2003년도 생물공학의 동향(XII)
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    • pp.153-156
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    • 2003
  • The MRS medium is widely used as an optimized medium for the growth of Lactobacillus spp. and also used for the growth of Leuconostoc spp. Leuconostoc mesenteroides shows quite different physicochemical properties compared to Lactobacilli spp. and it is one of the major strain of kimchi fermenting microorganisms with its usefulness in our traditional foods and availability in biotechnology in the future, specifically tailor-made medium is necessary for the growth of Leuconostoc mesenteroides. Sequential experimental designs (Plackett-Burman, fractional factorial, steepest ascent, central composite design and response surface methodology) were introduced to optimize and improve the Leuconostoc medium. Fifteen medium ingredients were investigated and fructose, sodium acetate and ammonium citrate were determined to give a critical and positive effect for cell-growth. The yield of biomass using the optimal medium was improved more than that of the MRS medium and the result of fed-batch culture showed the capability of the improvement in cell mass similar to the E.coli system.

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Evaluation of Surrogate Models for Shape Optimization of Compressor Blades

  • 압두스 사마드;김광용
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2006년 제4회 한국유체공학학술대회 논문집
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    • pp.367-370
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    • 2006
  • Performances of multiple surrogate models are evaluated in a turbomachinery blade shape optimization. The basic models, i.e., Response Surface Approximation, Kriging and Radial Basis Neural Network models as well as weighted average models are tested for shape optimization. Global data based errors for each surrogates are used to calculate the weights. These weights are multiplied with the respective surrogates to get the final weighted average models. The design points are selected using three level fractional factorial D-optimal designs. The present approach can help address the multi-objective design on a rational basis with quantifiable cost-benefit analysis.

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다수의 공정변수가 있는 경우의 진화적 조업법 (Evolutionary Operation with Many Process Variables)

  • 변재현;이창권
    • 한국품질경영학회:학술대회논문집
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    • 한국품질경영학회 2004년도 품질경영모델을 통한 가치 창출
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    • pp.513-516
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    • 2004
  • Evolutionary operation is useful to improve on-line full-scale manufacturing processes by systematically changing the levels of the process variables while meeting production schedule. Evolutionary operation was developed using two or three process variables for process operators who are not good at statistics. Recently, when a product is developed, it is very important for the engineers to make the production line stable as soon as possible. And there are many causes which have influences to the product performance. This paper presents an evolutionary operation procedure with many process variables using saturated two level fractional factorial designs including Plackett-Burman design.

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강도 3의 직교대열을 평가하기 위한 측도 (Measures for Evaluating the Orthogonal Array of Strength 3)

  • 장대흥
    • 응용통계연구
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    • 제18권3호
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    • pp.617-625
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    • 2005
  • 우리는 직교배열로서 직교계획, 즉 강도(strength)가 2인 직교배열을 주로 이용한다. 그러나, 강도 3인 직교배열은 주효과들과 2인자교호작용이 포함되는 가법모형 하에서 전체최적화(universal optimality)하다는 것이 밝혀져 있다. 그러므로 임의의 배열이 강도 3인 직교배열인가를 평가하는 측도가 필요하다. 이를 확장하면 임의의 배열이 강도 t($\ge$ 2)인 직교배열인가를 평가하는 측도를 제안할 수 있다.

반응표면방법론에서의 강건한 실험계획 (A Robust Design of Response Surface Methods)

  • 임용빈;오만숙
    • 응용통계연구
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    • 제15권2호
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    • pp.395-403
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    • 2002
  • 반응표면방법론에서의 세번째 단계에서는 일차모형이 가정되고, 반응표면의 곡선효과는 중앙점과 2수준 부분실시법에서의 실험을 통해서 검토된다. 참모형이 2차 모형인 경우를 가정하자. 최적실험계획을 선택하기 위해서 Box와 Draper(1959)는 관심영역에서 예측치 y(x)의 평균제곱오차를 적분한 값인 가중평균제곱오차(AMSE)를 최소화 시키는 최적실험계획 기준을 제안하였다. AMSE는 예측치의 가중분산과 가중제곱편의 량의 합으로 분할될 수 있다. AMSE는 실험계획 적률과 참모형의 회귀계수들의 값에 종속되어서 가중평균제곱오차를 최 소화하는 실험 계획을 찾기는 불가능하다. 실용적인 대안으로 Box와 Draper(1959)는 가중제곱편의 량을 최소화하는 실험계획을 제안했고, 이 실험계획의 상자점들이 중앙점을 향해서 축소됨을 보였다. 이 논문에서는 표준화된 회귀계수들의 값에 대해서 실험계획의 최소효율을 최대화하는 강건한 실험계획을 제안한다.

혼합물실험계획법을 이용한 2차전지의 최적설계 (An Optimum Design of Secondary Battery Using Design of Experiments with Mixture)

  • 김성준;박종인
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회/대한산업공학회 2005년도 춘계공동학술대회 발표논문
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    • pp.983-989
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    • 2005
  • Secondary batteries with high performance are essential in widespread use of modern portable devices such as cellular phones and laptop computers. High energy density, long cycle life, and safety are some of important requirements for secondary battery. To achieve such characteristics, a mixing proportion of electrolyte solution ingredients in the battery should be carefully chosen. In this paper, using statistical design of mixture experiments (DOME), we attempt to find an optimum condition of designing the secondary battery. DOME has a distinct feature in that the experimental region is represented by simplex, rather than hypercube, because the sum of blend proportions should be unity. Several designs based upon this point have been proposed for mixture experiments. Among them, an extreme vertices design is employed in this paper because there are a couple of blend constraints to be considered. In order to investigate how the mixing proportion interacts with other manufacturing factors, a fractional factorial design is also included across the extreme vertices design. As a result, we find that the blend proportion of solution ingredients has a significant effect on battery performances. By simultaneously optimizing two battery capacities, this paper proposes an optimum blend proportion according to process factor settings.

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혼합물 실험계획법을 이용한 이차전지의 최적설계 (An Optimum Design of Secondary Battery using Design of Experiments with Mixture)

  • 김성준;박종인
    • 산업공학
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    • 제18권4호
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    • pp.402-411
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    • 2005
  • Secondary batteries with high performance are essential in widespread use of modern portable devices such as cellular phones and laptop computers. High energy density, long cycle life, and safety are some of important requirements for secondary battery. To achieve such characteristics, a mixing proportion of electrolyte solution ingredients in the battery should be carefully chosen. In this paper, using statistical design of mixture experiments (DOME), we attempt to find an optimum condition of designing the secondary battery. DOME has a distinct feature in that the experimental region is represented by simplex, rather than hypercube, because the sum of blend proportions should be unity. Several designs based upon this point have been proposed for mixture experiments. Among them, an extreme vertices design is employed in this paper because there are a couple of blend constraints to be considered. In order to investigate how the mixing proportion interacts with other manufacturing factors, a fractional factorial design is also included across the extreme vertices design. As a result, we find that the blend proportion of solution ingredients has a significant effect on battery performances. By simultaneously optimizing two battery capacities, this paper proposes an optimum blend proportion according to process factor settings.

중심합성계획법에 의한 남부 조생벼 재배요인의 최적조건 구명 (Optimization of Cultivational Conditions of Rice(Oryza sativa L.) by a Central Composite Design Applied to an Early Cultivar in Southern Region)

  • 손길만;김정교;최진용;이유식;박중양
    • 한국작물학회지
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    • 제34권1호
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    • pp.60-73
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    • 1989
  • 수도재배에 있어서 수량은 여러 가지 요인이 복합적으로 작용하여 나타난 반응의 산물이다. 수도의 적정재배조건을 구명하기 위하여 지금까지는 제한된 요인 및 수준에서 시험연구가 수행되어 왔는데, 처리요인수 및 각 요인당 처리수준이 증가될 경우 전체 처리수의 급증으로 시험수행이 어렵게 된다. 본 연구는 이를 극복하고자 조생량 벼 품종 '운봉벼'의 재식주수, 주당본수, 질소시비량, 이앙일, 육묘일수 등 5가지 계량적 재배요인의 최적조건을 구명하기 위한 시험을 수행하고 수량을 Box와 Wilson의 중심합성계획법에 따라 분석하였으며(시험 1), 같은 품종을 공시하여 실험 1과 같은 요인을 Finney의 부분실시법(FFD)과 비교함으로써(시험 2) CCD의 농사시험연구에의 활용가능성을 제시하고자 하였다. 1. 재배조건에 따른 수량반응 수량은 5요인중 4요인의 수준을 중심수준에서 통제하였을 때 각 요인별 최대수량은 중심수준(재식주수, 90수/3.3$m^2$ ; 주당본수, 5본 ; N시비량, 11kg/10a ; 이앙일, 6월 25일 ; 육묘일수, 35일) 부근이었고 각 요인이 양극단수준으로 갈수록 감수하였으며 5요인중 3요인을 중심수준에서 통제하고 난 뒤에 2요인들 간의 상호작용에 의한 수량은 가 수준의 중심부에서 최고치를 보였다. 전체 5개 요인의 상호작용에 의해 나타난 수량의 정상점은 안부점이었다. 2. 두 계획법의 비교 가. CCD에서 수량에 대한 각각의 정상점에서의 재배조건은, 재식주수 107주/3.3$m^2$, 주당본수 4본, 질소시비량 10kg/10a, 이앙일 6월 26일, 육묘일수 33일이었고, 정상점에서의 수량은 439kg/10a으로서 FFD에서의 그것들과 비슷하였다. 나. CCD에 의하면 요인수와 수준수가 많아도 처리조합수를 획기적으로 줄일 수 있었고, 실험재료의 절적, 작업시간의 단축 및 작업의 간편화를 가져왔다. 다. CCD(각 요인별 5수준)는 FFD(각 3수준)에 비하여 수준수가 많았지만 결과를 도해화하기에 편리하였다. 라. 양 계획법에 있어서 수량의 정상점이 안부점인 것으로 보아 요인의 설정시 각 요인 상호간의 이질성을 고려해야 하며, 처리요인의 지나친 증가도 억제되어야 할 것이다. 마. CCD는 극한수준($\pm$2, $\pm$2, $\pm$2, $\pm$2, $\pm$2)의 처리가 없기 때문에 각 요인의 극한수준의 실험영역에 대해서는 적은 정보를 얻었으나. FFD보다는 많은 유익한 정보를 획득할 수 있었다. 따라서, CCD는 획기적으로 처리수를 줄였어도 유익한 정보를 제공하는 것으로 보아, 농사시험연구에 효율적으로 활용할 수 있는 계획적으로 확인되었다.적으로 확인되었다.

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Medium Optimization for Pediocin SA131 Production by Pediococcus pentosaceus SA131 against Bovine Mastitis Using Response Surface Methodology

  • Park, Yeo-Lang;Lee, Na-Kyoung;Park, Keun-Kyu;Park, Yong-Ho;Kim, Jong-Man;Nam, Hyang-Mi;Jung, Suk-Chan;Paik, Hyun-Dong
    • 한국축산식품학회지
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    • 제30권1호
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    • pp.66-72
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    • 2010
  • Pediococcus pentosaceus SA131 was isolated from jeotgal, is the bacteriocin producer against bovine mastitis pathogens, Streptococcus uberis E290, Enterococcus gallinarum E362, and Staphylococcus epidermidis ATCC 12228. The medium composition for pediocin SA131 production by P. pentosaceus SA131 was optimized using response surface methodology. Component of medium was studied as carbon source (glucose, fructose, lactose, glycerol, sucrose, maltose, and mannitol), nitrogen source (beef extract, yeast extract, peptone, malt extract, and tryptone), mineral and surfactant ($MgSO_4$, $KH_2PO_4$, $(NH_4)_2SO_4$, $MnSO_4$, NaCl, sodium acetate, and Tween 80). Through one factor-at-a-time experiment, glucose, fructose, yeast extract, malt extract, NaCl, $MgSO_4$, and Tween 80 were determined as the good ingredient. The effects of major factors for pediocin SA131 production were investigated by two-level fractional factorial designs (FFD). By a $2^4$ FFD, fructose, yeast extract, and $MnSO_4$ were found to be the important factors for the bacteriocin production. Subsequently, a $2^3$ central composite design (CCD) was adopted to derive a statistical model for optimizing the composition of the fermentation medium. The estimated optimum composition for the production of pediocin SA131 by P. pentosaceus SA131 was as follows; 0.13% fructose, 1% glucose, 1.8% yeast extract, 2.58% $MnSO_4$, 0.2% NaCl, and 0.2% Tween 80. The pediocin production under optimized medium was increased to 1,000 AU/mL, compared to the 400 AU/mL in MRS medium.

Statistical Qualitative Analysis on Chemical Mechanical Polishing Process and Equipment Characterization

  • Hong, Sang-Jeen;Hwang, Jong-Ha;Seo, Dong-Sun
    • Transactions on Electrical and Electronic Materials
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    • 제12권2호
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    • pp.56-59
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    • 2011
  • The characterization of the chemical mechanical polishing (CMP) process for undensified phophosilicate glass (PSG) film is reported using design of experiments (DOE). DOE has been used by experimenters to understand the relationship between the input variables and responses of interest in a simple and efficient way, and it typically is beneficial for determining the appropriatesize of experiments with multiple process variables and making statistical inferences for the responses of interest. The equipment controllable parameters used to operate the machine consist of the down force of the wafer carrier, pressure on the back side wafer, table and spindle speeds (SS), slurry flow (SF) rate, pad condition, etc. None of these are independent ofeach other and, thus, the interaction between the parameters also needs to be understoodfor improved process characterization in CMP. In this study, we selected the five controllable equipment parameters the most recommendedby process engineers, viz. the down force (DF), back pressure (BP), table speed (TS), SS, and SF, for the characterization of the CMP process with respect to the material removal rate and film uniformity in percentage terms. The polished material is undensified PSG which is widely used for the plananization of multi-layered metal interconnects. By statistical modeling and the analysis of the metrology data acquired from a series of $2^{5-1}$ fractional factorial designs with two center points, we showed that the DF, BP and TS have the greatest effect on both the removal rate and film uniformity, as expected. It is revealed that the film uniformity of the polished PSG film contains two and three-way interactions. Therefore, one can easily infer that process control based on a better understanding of the process is the key to success in current semiconductor manufacturing, in which the size of the wafer is approaching 300 mm and is scheduled to continuously increase up to 450 mm in or slightly after 2012.