• 한국식품조리과학회지
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• 제23권1호통권97호
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• pp.1-8
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• 2007

Extraction conditions were optimized using response surface methodology for preparing high-quality, hot water extracts from cultivated Chrysanthemum indicum L. petals. A fractional factorial design was applied to investigate the effects of added sample ratio ($X_1$), extraction temperature ($X_2$) and extraction time ($X_3$) variables on extract properties, such as, soluble solid contents ($Y_1$), sugar content ($Y_2$), ?E ($Y_3$), turbidity ($Y_4$), total phenol ($Y_5$) and DPPH ($Y_6$). Second-order models were employed to generate a 3-dimensional response surface for dependent variables and their coefficients of determination ($R^2$) ranged from 0.8408${\sim}$0.9914. The range of optimum conditions at $80^{\circ}C$ extraction for maximize characteristics of hot water extracts was 2.3${\sim}$2.7 g and 9.2${\sim}$11.2 hr.

• Integrative Medicine Research
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• 제6권4호
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• pp.388-394
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• 2017

Background: The present study optimized ultrasound-assisted extraction conditions to maximize extraction yields of glycyrrhizic acid from licorice. Methods: The optimal extraction temperature ($X_1$), extraction time ($X_2$), and methanol concentration ($X_3$) were identified using response surface methodology (RSM). A central composite design (CCD) was used for experimental design and analysis of the results to obtain the optimal processing parameters. Results: Statistical analyses revealed that three variables and the quadratic of $X_1$, $X_2$, and $X_3$ had significant effects on the yields and were followed by significant interaction effects between the variables of $X_2$ and $X_3$ (p<0.01). A 3D response surface plot and contour plots derived from the mathematical models were applied to determine the optimal conditions. The optimum ultrasound-assisted extraction conditions were as follows: extraction temperature, $69^{\circ}C$; extraction time, 34?min; and methanol concentration, 57%. Under these conditions, the experimental yield of glycyrrhizic acid was 3.414%, which agreed closely with the predicted value (3.406%). Conclusion: The experimental values agreed with those predicted by RSM models, thus indicating the suitability of the model employed and the success of RSM in optimizing the extraction conditions.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2006년도 정기 학술대회 논문집
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• pp.275-282
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• 2006

System algorithms estimated by deterministic input may occur the error between predicted and actual output. Especially, actual system can't predict the exact outputs due to uncertainty and tolernce of input parameters. A single output to a set of inputs has a limited value without the variation. Hence, we should consider various scatters caused by the load assessment, material characteristics, stress analysis and manufacturing methods in order to perform the robust design or etimate the reliability of structure. The system design with uncertainty should perform the probabilistic structural optimization with the statistical response and the reliability. This method calculated the probability distributions of the characteristics such as stress by combining stress analysis, response surface methodology and Monte Carlo simulation and got the probabilistic sensitivity. The sensitivity of structural response with respect to in constant design variables was estimated by fracture probability. Therefore, this paper proposed the probabilistic reliability design method for fracture of uncorved freight end beam and the design criteria by fracture probability.

• Journal of the Korean Wood Science and Technology
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• 제39권1호
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• pp.75-85
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• 2011

이 연구에서는 백합나무($Liriodendron$ $tulipifera$)를 옥살산으로 전처리한 시료로부터 에탄올 생산 가능성을 조사하고, response surface methodology (RSM)를 도입하여 전처리 조건을 분석하고자 한다. 산농도, 전처리 시간, 반응 온도를 조절하여 $2^3$ factorial central composite experimental design을 바탕으로 각기 다른 15가지의 전처리 조건에서 시험하였다(central point에서 2반복). 전처리 후 고체 시료는 발효 균주인 $Pichia$ $stipitis$를 사용하여 동시당화발효로 에탄올 생산에 이용되었으며, 각각의 시료에서의 72시간에서의 에탄올 생산량(y,g/${\ell}$)이 최대값으로, 종속변수로써 RSM에 적용되었다. $180^{\circ}C$에서 40분간 0.013 g/g의 옥살산으로 처리한 시료가 가장 많은 양의 에탄올(9.7 g/${\ell}$)을 생산하였으며, response surface methodology 분석에 따르면, 전처리 조건에서 온도 인자가 ethanol에 가장 큰 영향을 미치는 것으로 제시되었으며, 결과는 수식화되어 나타내었다.

• Journal of the Korean Statistical Society
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• 제36권4호
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• pp.557-578
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• 2007

In Response Surface Methodology (RSM), rotatability is a natural and highly desirable property. For second order general correlated regression model, the concept of robust rotatability was introduced by Das (1997). In this paper a new measure of robust rotatability for second order response surface designs with correlated errors is developed and illustrated with an example. A comparison is made between the newly developed measure with the previously suggested measure by Das (1999).

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 1999년도 춘계학술대회논문집
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• pp.143-148
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• 1999

Design optimization is performed to calculated the draw-bead force for satisfying the design re-quirements. For an analysis tool a rigid-plastic finite element method with modified membrane element is adopted. response surface methodology is utilized for constructing the approximation surface for the optimum searching of draw bead force in sheet metal forming process. the algorithm developed is ap-plied to a design of the draw bead forces in a deep drawing process. The results show that the design of process parameters is applicable in complex metal forming analysis. It is also noted that the present algo-rithm enhances the stable optimum solution with small times of optimization iteration.

• 품질경영학회지
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• 제40권1호
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• pp.49-59
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• 2012

In computer simulation models the output from the computer code is often deterministic, i.e., running the code twice with the same values for the input variables would give the same output. It is discussed why the response surface method with polynomial approximation for the true response function is a good approximation to the computer experiments model. A sequential strategy to find the proper reduced quadratic polynomial model is illustrated with a case study in the military war game computer simulation model.

• 품질경영학회지
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• 제7권2호
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• pp.22-28
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• 1979

The problem considered in this paper is to select the vital factor effect to the product quality through the experimental design and analysis of response surface, so as to control the quality improvement of industrial product. In this time, even through the mathematical model is unknown it could be applicable to control the quality of industrial products and to determine optimum operating condition for many technical fields, particulary, for industrial manufacturing process. When a set of data is available from an experimental design, it is often of interest 1:0 fit polynominal repression model in independent variables (eg, time, temperature, pressure, etc) the optimize the response variable (eg. yield, strength etc). This paper proposes a method known to obtain the optimum operating condition, and how to find the condition by using table of orthogonal array experiments, and optimization methodology of statistical model. A criterion can be applied determining to optimum operating conditions in manufacturing industry and improving the fit of response surface which may be used for prediction of responses and quality control of industrial products.

• 품질경영학회지
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• 제38권3호
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• pp.413-424
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• 2010

Mixture experiments involve combining ingredients or components of a mixture and the response is a function of the proportions of ingredients which is independent of the total amount of a mixture. The purpose of the mixture experiments is to find the optimum blending at which responses such as the flavor and acceptability are maximized. We assume the quadratic or special cubic canonical polynomial model over the experimental region for a mixture since the current mixture is assumed to be located in the neighborhood of the optimal mixture. The cost of the mixture is proportional to the cost of the ingredients of the mixture and is the linear function of the proportions of the ingredients. In this paper, we propose mixture response surface methods to develop a mixture such that the cost is down more than ten percent as well as mean responses are as good as those from the current mixture. The proposed methods are illustrated with the well known the flare experimental data described by McLean and Anderson(1966).

• 청정기술
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• 제23권4호
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• pp.413-420
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• 2017

화력발전소에서 발생되는 석탄비산재로부터 합성한 제올라이트 X를 이용한 Cs 흡착의 회분식 실험 및 반응표면분석법(Response Surface Methodology, RSM)을 적용하여 결과를 분석하였다. Cs 흡착 실험에 적용된 회귀 방정식은 반응변수의 함수로 나타낼 수 있었다. 결정계수($r^2$)가 0.9630으로서 이 모델은 높은 상관성을 가졌다. pH > Cs 농도 > 온도와 같은 실험적 요인의 순서로 Cs의 제거효율에 영향을 준다는 것을 통계적인 결과로부터 확인하였다. 흡착속도는 유사 2차 모델에 의해 보다 정확하게 표현되었다. Langmuir 등온선 모델로부터 계산된 최대 흡착용량은 293 K에서 $151.52mg\;g^{-1}$이었다. 또한, Vant Hoff 식에 의해 계산된 열역학 파라미터에 의거하여 흡착반응이 흡열반응이며, 자발적인 과정임을 확인할 수 있었다.