• 제목/요약/키워드: Response Surface Designs

검색결과 124건 처리시간 0.024초

반응표면(反應表面) 분석(分析)을 위한 실험계획(實驗計劃)과 그 응용(鷹用) 통계적(統計的) 모형(模型)의 최적화수법론(最適化手法論)을 중심으로 (Application of Analysis of Response Surface and Experimental Designs ; Optimization Methodology of Statistical Model)

  • 이명주
    • 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.

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현재의 공정조건을 향상시키기 위한 혼합물 반응표면 방법론 (Mixture response surface methodology for improving the current operating condition)

  • 임용빈
    • 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).

Slope-Rotatability over All Directions in Third Order Response Surface Models

  • Park, Sung-Hyun;Lee, Min-Soo
    • Journal of the Korean Statistical Society
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    • 제24권2호
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    • pp.519-536
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    • 1995
  • In the design of experiments for response surface analysis, sometimes it is of interest to estimate the difference of responses at two points. If differences at points close together are involved, the design that reliably estimates the slope of response surface is important. This idea was conceptualized by slope rotatability by Hader & Park (1978) and Park (1987). Until now, second order polynomial models were only studied for slope ratatability. In this paper, we will propose the necessary and sufficient conditions for slope rotatability over all directions for the thired order polynomial models in two, three and four independent variables. Also practical slope rotatable designs over all directions for two independent variables are suggested.

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On Determinig Experimental Points in Central Composite Designs

  • Park, Byoung-Chul;Park, Sung-Hyun
    • Journal of the Korean Statistical Society
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    • 제15권2호
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    • pp.131-142
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    • 1986
  • By using the tool for finding influential cases in regrssion, we investigate teh properties of three types of diagonal elements of the hat matrix in central designs. From thses results, we determine the experimental points at axes ad teh number of replicates as the center and the otherpoints so that the experimental points give approximatly same influences to estimatoe teh response surface.

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반응표면과 크리깅메타모델을 이용한 CRT 형상최적설계 (Shape Optimization of a CRT based on Response Surface and Kriging Metamodels)

  • 이태희;이창진;이광기
    • 대한기계학회논문집A
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    • 제27권3호
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    • pp.381-386
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    • 2003
  • Gradually engineering designers are determined based on computer simulations. Modeling of the computer simulation however is too expensive and time consuming in a complicate system. Thus, designers often use approximation models called metamodels, which represent approximately the relations between design and response variables. There arc general metamodels such as response surface model and kriging metamodel. Response surface model is easy to obtain and provides explicit function. but it is not suitable for highly nonlinear and large scaled problems. For complicate case, we may use kriging model that employs an interpolation scheme developed in the fields of spatial statistics and geostatistics. This class of into interpolating model has flexibility to model response data with multiple local extreme. In this study. metamodeling techniques are adopted to carry out the shape optimization of a funnel of Cathode Ray Tube. which finds the shape minimizing the local maximum principal stress Optimum designs using two metamodels are compared and proper metamodel is recommended based on this research.

2차 모형을 위한 소형 실험계획의 비교 (Comparison of Small Sized Designs for Second-Order Modelling)

  • 김정숙;변재현
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 2006년도 춘계공동학술대회 논문집
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    • pp.1085-1092
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    • 2006
  • Response surface methodology(RSM) is a useful collection of experimentation techniques for developing, improving, and optimizing products and processes. When we are to estimate second-order regression model and optimize quality characteristic by RSM, central composite designs and Box-Behnken designs are widely in use. However, in developing cutting-edge products, it is very crucial to reduce the time of experimentation as much as possible. In this paper small-sized second-order designs are introduced and their estimation abilities are compared in terms of D-optimality, A-optimality, and variance of regression coefficients. The result of this study will be beneficial to experimenters who face experiments which are expensive, difficult, or time-consuming.

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랜덤화 순서와 기하학적 특성을 고려한 분산분석과 실험계획의 응용방안 (Application of ANOVA and DOE by Using Randomized Orders and Geometrical Properties)

  • 최성운
    • 대한안전경영과학회:학술대회논문집
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    • 대한안전경영과학회 2012년 춘계학술대회
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    • pp.277-292
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    • 2012
  • The research presents an application of Balanced ANOVA (BANOVA) by utilizing randomized orders for various Split-Plot Designs (SPDs) which include two cell designs, split-plot with one-way HTC (Hard to Control) factor, split-plot with two-way HTC factor, split-split-plot design and nested design. In addition, four MINITAB examples of 2-level split-plot designs based on the number of blocks and the type of whole-plots are presented for practitioners to obtain comprehensive understanding. Furthermore, the geometrical interrelated properties among three typical Designs of Experiments (DOE), such as Factorial Design (FD), Response Surface Design (RSD), and Mixture Design (MD) are discussed in this paper.

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SLOPE ROTATABLE DESIGNS FOR SECOND ORDER RESPONSE SURFACE MODELS WITH BLOCK EFFECTS

  • Park, Sung-Hyun;Park, Bong-Gyun;Park, Hee-Jin
    • Journal of the Korean Statistical Society
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    • 제36권1호
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    • pp.157-173
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    • 2007
  • In this article it is considered that how the slope-rotatability property of a second order design for response surface model is affected by block effects and how the design points are assigned into the blocks so that the blocked design may have the property of slope-rotatability. If an unblocked design is blocked properly, it could be a slope-rotatable design with block effects and this property is named as block slope-rotatability. We approach this problem from the moment matrix of the blocked design, which plays an important role to get the variances of the estimates, and suggest conditions of block slope-rotatability.

반응표면법을 이용한 초소형 광디스크 드라이브 구동기의 최적화 및 디자인 (Design And Optimization Of Actuator For Micro Optical Disk Drive Using Response Surface Methodology)

  • 우기석;이동주;박노철;박영필
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.755-761
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    • 2003
  • Recently, the development of mobile devices demands information storage systems to use micro drive devices and cheap media. These should have several characteristics, for example, the subminiature of size, the robustness of shock, the minimum of cost and power consumption, and the removability of multiple applications. A conventional optical disk drive is more suitable for these specifications than the others. The optical storage system of the new generation to use a blue laser and a high numerical aperture (NA) is the perfect candidate for micro optical disk drives. In this paper, the micro actuator that can be applied to a micro optical disk drive is designed by response surface methodology to use a structural analysis and an electro-magnetic analysis. Based on above results, the coarse actuator and fine actuator are designed and improved from the point of view of the size and the power. Consequently, the designs of a micro actuator are proposed through these courses.

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유전알고리즘과 반응표면법을 이용한 BLDC 전동기용 영구자석 최적설계 (Optimum Design of BLDC Motor Magnet Using Genetic Algorithm and Response Surface Method)

  • 김창업;전문호
    • 조명전기설비학회논문지
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    • 제18권6호
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    • pp.152-157
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    • 2004
  • 본 논문에서는 유전알고리즘, 반응표면법을 이용하여 BLDC 전동기의 코깅 토크를 최소화 하기 위한 최적화 설계 방법을 제안하였다. 유전알고리즘, 반응표면법을 이용하여 BLDC 전동기의 설계변수를 추론하고 유한요소법으로 코깅 토크를 구하였다. 유전알고리즘, 반응표면법을 유한요소법과 결합하여 사용함으로써 BLDC 전동기의 코깅 토크를 최소로 하는 영구자석의 형상을 보다 빠르고 정확하게 구할 수 있었다.