• Title/Summary/Keyword: 직교 배열

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강도 3의 직교배열을 평가하기 위한 측도

  • 장대흥
    • Proceedings of the Korean Statistical Society Conference
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    • 2004.11a
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    • pp.211-218
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    • 2004
  • 우리는 직교배열로서 직교계획, 즉 강도(strength)가 2인 직교배열을 주로 이용한다. 그러나, 강도 3인 직교배열은 주효과들과 2인자교호작용이 포함되는 가법모형 하에서 전체최적화(universal optimality)하다는 것이 밝혀져 있다. 그러므로, 임의의 배열이 강도 3인 직교배열인가를 평가하는 측도가 필요하다. 이를 확장하면 임의의 배열이 강도 $t(\geqt2)$인 직교배열인가를 평가하는 측도를 제안할 수 있다.

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실험계획을 평가하기 위한 측도로서의 상호정보

  • Jang, Dae-Heung
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.05a
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    • pp.87-93
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    • 2005
  • 통계적 품질관리나 실험계획법에서 요인의 수가 과다하게 많은 경우 주로 직교배열을 이용하여 실험을 한다. 그러나 직교배열을 쓰지 못할 때 우리는 근사직교배열을 이용하게 되는 데 이 때 근사직교배열의 직교성의 정도를 평가할 수 있는 기준으로서 상호정보를 이용할 수 있다.

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실험계획의 직교성의 정도를 평가하기 위한 그래픽 방법

  • Jang, Dae-Heung
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.05a
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    • pp.159-163
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    • 2002
  • 직교성은 실험계획에서 중요한 성질이다. 직교계획을 이용할 수 없는 경우 우리는 이러한 근사직교배열에 대하여 직교성의 정도를 평가할 수 있는 측도가 필요하다. 본 논문에서 는 근사직교배열에 대하여 직교성의 정도를 평가할 수 있는 그래픽방법들을 제안하고자 한다.

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Measures for Evaluating the Orthogonal Array of Strength 3 (강도 3의 직교대열을 평가하기 위한 측도)

  • Jang Dae-Heung
    • The Korean Journal of Applied Statistics
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    • v.18 no.3
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    • pp.617-625
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    • 2005
  • We usually use orthogonal designs-orthogonal array of strength 2 as orthogonal arrays. It was shown that fractional factorial plaits represented by orthogonal arrays of strength 3 are universally optimal under the additive motels that includes the mean, all main effects and all two-factor interactions. Therefore, we need the measure for evaluating the orthogonal array of strength 3. We can extend this measure as the measure for evaluating the orthogonal array of strength t($\ge$ 2).

A Study on the Development of Expert System for Selecting and Modifying Orthogonal Array in Taguchi Method (다구찌 방법에서 직교배열의 선택 및 변형에 관한 전문가시스템 개발에 대한 연구)

  • 정환종;조성진;이재원
    • Journal of Intelligence and Information Systems
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    • v.5 no.1
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    • pp.1-12
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    • 1999
  • 강건설계(robust design)는 낮은 비용으로 잡음에 강건한 고품질의 제품이나 공정을 설계하는 체계적이고 효율적인 방법이다. 그러나 강건설계의 과정 중 비표준 직교배열의 사용과 교호인자을 포함한 실험계획은 다소 복잡하고, 전문지식이 필요한 부분으로 비전문가에는 난해한 작업이다. 이를 해결하기 위하여 본 연구에서는 표준직교배열의 변형과 선점도를 이용하여 교호인자를 직교배열의 열에 자동으로 할당하는 전문가시스템 prototype을 개발하였다. 사용자가 수준별 인자수와 교호작용의 유무를 입력하면, 시스템은 적절한 직교배열을 선정하여 필요에 따라 변형하며, 제어인자와 교호작용을 직교배열표에 자동으로 할당하여 출력한다. 개발된 시스템을 사용함으로써 초보자도 직교배열을 쉽게 변형할 수 있으며 다수의 교호인자를 포함한 실험계획을 빠르게 할 수 있다. 본 연구에서 이용된 지식은 문헌에서 추출하였으며, 추론 전략으로는 규칙기반추론(rule-based reasoning)을 이용하였다.

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Evaluation of the Degree of the Orthogonality of 2-level Resolution-V Designs Constructed by Balanced Arrays (균형배열에 의해 설계되는 2-수준 Resolution-V 실험법의 직교성 평가측도)

  • Kim, Sang-Ik
    • Communications for Statistical Applications and Methods
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    • v.15 no.2
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    • pp.235-244
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    • 2008
  • Balanced arrays which are generalized orthogonal arrays, introduced by Chakravarti (1956) can be used to construct the fractional factorial designs. Especially for 2-level factorials, balanced arrays with strength 4 are identical to the resolution-V fractional designs. In this paper criteria for evaluation the degree of the orthogonality of balanced arrays of 2-levels with strength 4 are developed and some application methods of the suggested criteria are discussed. As a result, in this paper, we introduce the constructing methods of near orthogonal saturated balanced resolution-V fractional 2-level factorial designs.

A Comparative Study on Surrogate Models and Sensitivity Analysis for Structure Design of Automatic Salt Collector Using Orthogonal Array Experiment (직교배열실험을 이용한 자동채염기 구조설계의 민감도해석과 대리모델 비교 연구)

  • Song, Chang Yong;Lee, Dong-Jun
    • Journal of Convergence for Information Technology
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    • v.10 no.7
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    • pp.138-146
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    • 2020
  • The paper deals with comparative study of characteristics of surrogate models and sensitivity evaluation using design of experiments in order to enhance and analysis the structure design of an automatic salt collector under various design load conditions. Orthogonal array design based on numerical analysis was used for the design of experiments. The thickness sizing variables of main structure member were considered the design factors, and the output responses were selected from the strength performances as well as the weight. The quantitative effects on responses for each design factor were evaluated from the orthogonal array experiment. Optimum design case was also identified to improve the strength performances with weight minimization. Using the orthogonal array experiment. various surrogate models such as response surface model, Kriging model, and Chebyshev orthogonal polynomial were generated. The orthogonal array experiment results were validated by the surrogate modeling results. The most suitable surrogate model was the response surface model for the exploration of design space of the automatic salt collector.

Analysis for Usefulness of Taguchi's Orthogonal Array in Microstrip Patch Antenna Design (마이크로스트립 패치 안테나 설계에서 타구치 직교배열표의 유용성 분석)

  • Kim, Jae-Yeon;Chang, Tae-Soon;Hur, Jung
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.4
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    • pp.41-46
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    • 2019
  • This paper is analysis on usefulness of Microstrip patch antenna design using Taguchi's Orthogonal array. For comparison, the shape of U-slot and Feed line elements are decided as a parameter in Microstrip patch antenna. And all the possible result of 19,683 times simulation using parameter sweep and the result of Taguchi's orthogonal arrays are compared. The simulation of Parameter sweep and Orthogonal arrays has 3.7% error on 10dB Bandwidth. Finally, It is identified that 19,683 times parameter sweep simulation can be reduced to 27 times with Taguchi's orthogonal arrays but still it represents antenna parameter characters well.

A Comparative Study on Approximate Models and Sensitivity Analysis of Active Type DSF for Offshore Plant Float-over Installation Using Orthogonal Array Experiment (직교배열실험을 이용한 해양플랜트 플로트오버 설치 작업용 능동형 DSF의 민감도해석과 근사모델 비교연구)

  • Kim, Hun-Gwan;Song, Chang Yong
    • Journal of the Korea Convergence Society
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    • v.12 no.3
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    • pp.187-196
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    • 2021
  • The paper deals with comparative study for characteristics of approximation of design space according to various approximate models and sensitivity analysis using orthogonal array experiments in structure design of active type DSF which was developed for float-over installation of offshore plant. This study aims to propose the orthogonal array experiments based design methodology which is able to efficiently explore an optimum design case and to generate the accurate approximate model. Thickness sizes of main structure member were applied to the design factors, and output responses were considered structure weight and strength performances. Quantitative effects on the output responses for each design factor were evaluated using the orthogonal array experiment. Best design case was also identified to improve the structure design with weight minimization. From the orthogonal array experiment results, various approximate models such as response surface model, Kriging model, Chebyshev orthogonal polynomial model, and radial basis function based neural network model were generated. The experiment results from orthogonal array method were validated by the approximate modeling results. It was found that the radial basis function based neural network model among the approximate models was able to approximate the design space of the active type DSF with the highest accuracy.

Pareto Analysis of Experimental Data by L18(2 X 37) Orthogonal Array (L18(2 X 37) 직교배열표 실험자료에 대한 파레토 그림 분석)

  • 임용빈
    • The Korean Journal of Applied Statistics
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    • v.17 no.3
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    • pp.499-505
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    • 2004
  • The Pareto diagram analysis of the experimental data by the two level orthogonal arrays has been used widely in practice since it is a graphical, quick and easy method to analyze experimental results, which does not use the analysis of variance to screen significant effects. For the analysis of the experimental data by $L_{18}(2 \times 3^7)$ orthogonal array, Park(1996) proposed Pareto ANOVA in which the size of effects is defined by the mean squares of effects and the Pareto principle is used. In this paper, a new approach of the Pareto diagram analysis of the experimental data by $L_{18}(2 \times 3^7)$ orthogonal array is proposed. The main idea is to partition the size of three level effects by that of linear and quadratic orthogonal contrasts of those effects.