• 제목/요약/키워드: Multiresponse Optimization

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Multiresponse Surfaces Optimization Based on Evidential Reasoning Theory

  • He, Zhen;Zhang, Yuxuan
    • International Journal of Quality Innovation
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    • 제5권1호
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    • pp.43-51
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    • 2004
  • During process design or process optimization, it is quite common for experimenters to find optimum operating conditions for several responses simultaneously. The traditional multiresponse surfaces optimization methods do not consider the uncertain relationship among these responses sufficiently. For this reason, the authors propose an optimization method based on evidential reasoning theory by Dempster and Shafer. By maximizing the basic probability assignment function, which indicates the degree of belief that certain operating condition is the solution of this multiresponse surfaces optimization problem, the desirable operating condition can be found.

각 반응의 목표 영역 존재시의 다반응 최적화: 상대변화 제곱합의 최소화에 의한 방법 (Multiresponse Optimization in the Presence of the Goal Regions for the Respective Responses: A Method by Minimization of the Sum of Squares of Relative Changes)

  • 홍승만;임성수;이민우
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제1권2호
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    • pp.165-173
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    • 2001
  • The desirability function approach by Derringer and Suich (1980) and the generalized distance approach by Khuri and Conlon (1981) are two major approaches to multiresponse optimization for improvement of quality of a product or process. So far, the desirability function method has been the only tool for multiresponse optimization in the situations where there are the goal regions for the respective responses. For such situations, we propose a multiresponse optimization method based on the generalized distance approach.

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다중반응표면최적화 : 현황 및 향후 연구방향 (Multiresponse Optimization: A Literature Review and Research Opportunities)

  • 정인준
    • 품질경영학회지
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    • 제39권3호
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    • pp.377-390
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    • 2011
  • A common problem encountered in product or process design is the selection of optimal parameter levels which involves simultaneous consideration of multiple response variables. This is called a multiresponse problem. A multiresponse problem is solved through three major stages: data collection, model building, and optimization. Up to date, various methods have been proposed for the optimization, including the desirability function approach and loss function approach. In this paper, the existing studies in multiresponse optimization are reviewed and a future research direction is then proposed.

다중반응표면최적화: 현황평가 및 추후 연구방향 (Multiresponse Optimization: A Literature Review and Research Opportunities)

  • 정인준;김광재
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회/대한산업공학회 2005년도 춘계공동학술대회 발표논문
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    • pp.730-739
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    • 2005
  • A common problem encountered in product or process design is the selection of optimal parameter levels which involve simultaneous consideration of multiresponse variables. A multiresponse problem is solved through three major stages: data collection, model building, and optimization. To date, various methods have been proposed for the optimization stage, including the desirability function approach and loss function approach. In this paper, we first propose a framework classifying the existing studies and then propose some promising directions for future research.

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반응표면분석에서의 다반응 최적화 : 기대 상대오차제곱 추정치 가중합의 최소화에 의한 방법 (Multiresponse Optimization in Response Surface Analysis : A Method by Minimization of Weighted Sum of Estimates of Expected Squared Relative Errors)

  • 임성수;이우선
    • 품질경영학회지
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    • 제33권1호
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    • pp.73-82
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    • 2005
  • This article proposes a practical approach, which is based on the concept of the expected squared relative error, that can consider both the prediction quality and the practitioner's subjectivity in simultaneously optimizing multiple responses. Through a case study, multiresponse optimization using the expected squared relative error approach is illustrated, and the SAS program to implement the proposed method is provided.

다중반응표면 최적화 분야의 최근 연구 동향 (Recent Advances in Multiresponse Systems)

  • 김광재;변재현;정인준
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2006년도 추계학술대회
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    • pp.377-380
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    • 2006
  • A common problem encountered in product or process design is the selection of optimal parameter levels which involve simultaneous consideration of multiresponse variables. To date, various methods have been proposed for multiresponse optimization. In this paper, we briefly review the existing methods and then discuss some recent advances in this field.

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다구찌의 파라미터 설계에 대한 반응표면 접근방법을 이용한 다반응 최적화 (Multiresponse Optimization Using a Response Surface Approach to Taguchi′s Parameter Design)

  • 이우선;이종협;임성수
    • 품질경영학회지
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    • 제27권1호
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    • pp.165-194
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    • 1999
  • Taguchi's parameter design seeks proper choice of levels of controllable factors (Parameters in Taguchi's terminology) that makes the qualify characteristic of a product optimal while making its variability small. This aim can be achieved by response surface techniques that allow flexibility in modeling and analysis. In this article, a collection of response surface modeling and analysis techniques is proposed to deal with the multiresponse optimization problem in experimentation with Taguchi's signal and noise factors.

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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.

다중반응치 자료에 대한 순차적 BIPLOT활용에 대한 연구 (A Study of Applications of Sequential Biplots in Multiresponse Data)

  • 장대흥
    • 응용통계연구
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    • 제11권2호
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    • pp.451-459
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    • 1998
  • 반응표면분석에서 다반응값의 최적화 문제는 단반응값 최적화문제보다 복잡하다. 이런 다반응값 문제에서 반응변수들이나 설명변수 상호간의 관계나 중요성 등을 평가하는 것은 중요하다. 이러한 평가를 위하여 biplot를 이용할 수 있는데, 1차 회귀모형이 적합치 않은 경 우, 2차 회귀모형을 위한 순차적 실험계획을 이용하여 2차 회귀 모형에 대응되는 biplot를 그려 선형 및 비선형효과를 알 수 없게 된다.

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