• Title/Summary/Keyword: 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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    • v.5 no.1
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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.

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 (각 반응의 목표 영역 존재시의 다반응 최적화: 상대변화 제곱합의 최소화에 의한 방법)

  • 홍승만;임성수;이민우
    • Journal of Applied Reliability
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    • v.1 no.2
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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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Multiresponse Optimization: A Literature Review and Research Opportunities (다중반응표면최적화 : 현황 및 향후 연구방향)

  • Jeong, In-Jun
    • Journal of Korean Society for Quality Management
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    • v.39 no.3
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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.

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

  • Jeong, In-Jun;Kim, Gwang-Jae
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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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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Multiresponse Optimization in Response Surface Analysis : A Method by Minimization of Weighted Sum of Estimates of Expected Squared Relative Errors (반응표면분석에서의 다반응 최적화 : 기대 상대오차제곱 추정치 가중합의 최소화에 의한 방법)

  • Rheem, Sung-Sue;Lee, Woo-Sun
    • Journal of Korean Society for Quality Management
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    • v.33 no.1
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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.

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

  • Kim, Kwang-Jae;Byun, Jai-Hyun;Jeong, In-Jun
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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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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Multiresponse Optimization Using a Response Surface Approach to Taguchi′s Parameter Design (다구찌의 파라미터 설계에 대한 반응표면 접근방법을 이용한 다반응 최적화)

  • 이우선;이종협;임성수
    • Journal of Korean Society for Quality Management
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    • v.27 no.1
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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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A Weighted Mean Squared Error Approach Based on the Tchebycheff Metric in Multiresponse Optimization (Tchebycheff Metric 기반 가중평균제곱오차 최소화법을 활용한 다중반응표면 최적화)

  • Jeong, In-Jun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.1
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    • pp.97-105
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    • 2015
  • Multiresponse optimization (MRO) seeks to find the setting of input variables, which optimizes the multiple responses simultaneously. The approach of weighted mean squared error (WMSE) minimization for MRO imposes a different weight on the squared bias and variance, which are the two components of the mean squared error (MSE). To date, a weighted sum-based method has been proposed for WMSE minimization. On the other hand, this method has a limitation in that it cannot find the most preferred solution located in a nonconvex region in objective function space. This paper proposes a Tchebycheff metric-based method to overcome the limitations of the weighted sum-based method.

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

  • 장대흥
    • The Korean Journal of Applied Statistics
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    • v.11 no.2
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    • pp.451-459
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    • 1998
  • The analysis of data from a multiresponse experiment requires careful consideration of the multivariate nature of the data. In a multiresponse sitation, the optimization problem is more complex than in the single response case. The biplot is a graphical tool which make the analyst to understand the correlation of the response variables, the relation of the response variables arid the explanatory variables and the relative importance of the explanatory variables. In case of good fitting of the first order model, we can draw the biplot with the first order experimental design. Otherwise, we can make the biplot with the second order experimental design by adding other experimental points.

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