• 제목/요약/키워드: Multiresponse

검색결과 29건 처리시간 0.022초

Tchebycheff Metric 기반 가중평균제곱오차 최소화법을 활용한 다중반응표면 최적화 (A Weighted Mean Squared Error Approach Based on the Tchebycheff Metric in Multiresponse Optimization)

  • 정인준
    • 한국산학기술학회논문지
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    • 제16권1호
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    • pp.97-105
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    • 2015
  • 다중반응표면 최적화는 다수의 반응변수(품질특성치)를 최적화하는 입력변수의 조건을 찾는 것을 목적으로 한다. 다중반응표면 최적화를 위해 제안된 가중평균제곱오차(Weighted Mean Squared Error, WMSE) 최소화법은 평균제곱오차의 구성요소인 제곱편차와 분산에 서로 다른 가중치를 부여하는 방법이다. 지금까지 WMSE 최소화법과 관련하여, 개별 반응변수의 WMSE를 구성한 후 이들의 가중합을 최소화하는 가중합 기반 WMSE 최소화법이 제안되었다. 그러나 가중합 기반법은 목적함수 공간에서 볼록하지 않은 구간이 있고 이 구간에서 가장 선호되는 해가 존재할 경우 이 해를 찾아내지 못한다는 한계를 지니고 있다. 본 논문에서는 기존의 가중합 기반법의 한계점을 극복하기 위하여 Tchebycheff Metric 기반 WMSE 최소화법을 제안하고자 한다.

공정변수의 변동을 고려한 호감도 함수를 통한 다중반응표면 최적화 (Multiresponse Optimization Through A New Desirability Function Considering Process Parameter Fluctuation)

  • 권준범;이종석;이상호;전치혁;김광재
    • 한국경영과학회지
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    • 제30권1호
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    • pp.95-104
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    • 2005
  • A desirability function approach to a multiresponse problem is proposed considering process parameter fluctuation which may amplify the variance of response. It is called POE (propagation of error), which is defined as the standard deviation of the transmitted variability in the response as a function of process parameters. In order to obtain more robust process parameter setting, a new desirability function is proposed by considering POE as well as distance-to-target of response and response variance. The proposed method is illustrated using a rubber product case in Ribeiro et al. (2000).

새로운 손실함수 적용을 통한 다중 반응표면분석 (A New Loss Function Approach To Multiresponse Optimization)

  • 고영현;나석희;김광재;전치혁
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 2002년도 춘계공동학술대회
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    • pp.755-761
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    • 2002
  • It Is often required to choose the optimum operating conditions for several responses simultaneously. In solving this multiresponse problem, the correlation of several responses, quality of prediction and the robustness of each response variable are must be considered. This paper proposes a new loss function approach that allows to consider these three important aspects. A numerical example illustrates the proposed methodology

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공정변수의 변동을 고려한 만족도 함수를 통한 다중반응표면 최적화 (Multiresponse Optimization Through A New Desirability Function Considering Process Parameter Fluctuation)

  • 권준범;이종석;이상호;전치혁;김광재
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2004년도 추계학술대회 및 정기총회
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    • pp.39-44
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    • 2004
  • A desirability function approach to a multiresponse problem is proposed considering process parameter fluctuation as well as distance-to-target of response and response variance. The variation of process parameters amplifies the variance of responses. It is called POE (propagation of error), which is defined as the standard deviation of the transmitted variability in the response as a function of process parameters. In order to obtain more robust process parameters, this variability should be considered in the optimization problem. The proposed method is illustrated using a rubber product case.

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다중 반응 변수 문제 해결을 위한 손실 함수 방법에서 비용 행렬의 보정에 관한 연구 (The Study of Adjusting the Cost Matrix in Loss Function Approach for Multiresponse Optimization)

  • 이대원;김소희;김광재;이재욱
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2004년도 추계학술대회 및 정기총회
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    • pp.31-34
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    • 2004
  • For solving multiresponse problems, a variety of loss function approaches have been proposed assuming that a cost matrix is known and fixed. However a cost matrix is also an important factor in loss function approaches, because the optimal solution is very sensitive to the cost matrix. In this paper. we propose a novel method for adjusting the cost matrix by considering the predictive ability of the estimated response models. Simulation results for the generated data set show that the proposed method is competitive with previously reported methods.

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공정변수의 변동을 고려한 손실함수를 통한 다중반응표면 최적화 (Multiresponse Optimization through a Loss Function Considering Process Parameter Fluctuation)

  • 권준범;이종석;이상호;전치혁;김광재
    • 대한산업공학회지
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    • 제31권2호
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    • pp.164-172
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    • 2005
  • A loss function approach to a multiresponse problem is considered, when process parameters are regarded as random variables. The variation of each response may be amplified through so called propagation of error (POE), which is defined as the standard deviation of the transmitted variability in the response as a function of process parameters. The forms of POE for each response and for a pair of responses are proposed and they are reflected in our loss function approach to determine the optimal condition. The proposed method is illustrated using a polymer case. The result is compared with the case where parameter fluctuation is not considered.

Multiresponse Optimization and Prediction of Antioxidant Properties of Aqueous Ginger Extract

  • Makanjuola, Solomon Akinremi;Enujiugha, Victor Ndigwe;Omoba, Olufunmilayo Sade
    • Preventive Nutrition and Food Science
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    • 제21권4호
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    • pp.355-360
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    • 2016
  • The influence of extraction temperature, powder concentration, and extraction time on the antioxidant properties of aqueous ginger extract was investigated. The possibility of estimating the antioxidant properties of the extract from its absorbance and colour properties was also investigated. Results indicated that powder concentration was the most significant factor to consider in optimizing antioxidant extraction. However, temperature and time still influenced the 2,2'-azinobis-(3-ethylbenzothiazoline-6-sulfonic acid) (ABTS) radical scavenging activity while extraction temperature influenced the 2,2-diphenyl-1-picrylhydrazyl (DPPH) radical scavenging activity of the extract. Using the total phenol content, total flavonoid content, ABTS radical scavenging activity, and DPPH radical scavenging activity of the extract, the multiresponse optimization condition for extraction of antioxidant based on the experimental range studied is $96^{\circ}C$, 2.10 g/100 mL, and 90 min. The absorbance of the ginger extract at 610 nm could be exploited for rapid estimation of its total flavonoid and polyphenol with a $R^2$ of 0.713 and 0.753, respectively.

A Study on the Multiresponse Robust Design using Loss Function

  • Kwon, Yong-Man;Chang, Duk-Joon
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2005년도 춘계학술대회
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    • pp.1-6
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    • 2005
  • In this paper we propose how to simultaneously optimize multiple responses for robust design when data are collected from a combined array. The proposed method is based on the quadratic loss function. An example is illustrated to show the proposed method.

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탐색적 자료분석시 그래프의 활용에 대한 연구 (A Study for the Application of Graphs in Exploratory Data Analysis)

  • 장대흥
    • 응용통계연구
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    • 제15권2호
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    • pp.433-448
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    • 2002
  • 탐색적 자료분석에서는 자료를 통계적 모형에 바로 적합시키기 보다 자료를 있는 그대로 보려는 데 중점을 두므로 현시성을 강조한다. 따라서, 다양한 그래프가 사용되는데. 본 논문에서는 이러한 그래프들을 이용하여 탐색적 자료분석의 몇 가지 유용한 사례들을 보이고자 한다.