• 제목/요약/키워드: statistical design of experiments

검색결과 291건 처리시간 0.026초

실험계획법과 유한요소해석에 의한 디스크 브레이크의 열변형 최적설계 (Optimal Design for the Thermal Deformation of Disk Brake by Using Design of Experiments and Finite Element Analysis)

  • 이태희;이광기;정상진
    • 대한기계학회논문집A
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    • 제25권12호
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    • pp.1960-1965
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    • 2001
  • In the practical design, it is important to extract the design space information of a complex system in order to optimize the design because the design contains huge amount of design conflicts in general. In this research FEA (finite element analysis) has been successfully implemented and integrated with a statistical approach such as DOE (design of experiments) based RSM (response surface model) to optimize the thermal deformation of an automotive disk brake. The DOE is used for exploring the engineer's design space and for building the RSM in order to facilitate the effective solution of multi-objective optimization problems. The RSM is utilized as an efficient means to rapidly model the trade-off among many conflicting goals existed in the FEA applications. To reduce the computational burden associated with the FEA, the second-order regression models are generated to derive the objective functions and constraints. In this approach, the multiple objective functions and constraints represented by RSM are solved using the sequential quadratic programming to archive the optimal design of disk brake.

Optimal designs for small Poisson regression experiments using second-order asymptotic

  • Mansour, S. Mehr;Niaparast, M.
    • Communications for Statistical Applications and Methods
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    • 제26권6호
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    • pp.527-538
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    • 2019
  • This paper considers the issue of obtaining the optimal design in Poisson regression model when the sample size is small. Poisson regression model is widely used for the analysis of count data. Asymptotic theory provides the basis for making inference on the parameters in this model. However, for small size experiments, asymptotic approximations, such as unbiasedness, may not be valid. Therefore, first, we employ the second order expansion of the bias of the maximum likelihood estimator (MLE) and derive the mean square error (MSE) of MLE to measure the quality of an estimator. We then define DM-optimality criterion, which is based on a function of the MSE. This criterion is applied to obtain locally optimal designs for small size experiments. The effect of sample size on the obtained designs are shown. We also obtain locally DM-optimal designs for some special cases of the model.

두 개의 이상원인을 고려한 VSSI 원인선별 관리도의 경제적-통계적 설계 (Economic-Statistical Design of VSSI Cause-Selecting Charts Considering Two Assignable Causes)

  • 정민수;임태진
    • 품질경영학회지
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    • 제37권1호
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    • pp.29-39
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    • 2009
  • This article investigates economic-statistical design of VSSI(variable sampling size and interval) cause-selecting charts considering two assignable causes. We consider a process which is composed of two dependent sub-processes. In each sub-process, two kinds of assignable cause may exist. We propose a procedure for designing VSSI cause-selecting charts, based on Lorenzen and Vance model. Computational experiments show that the VSSI cause-selecting chart is superior to the FSSI cause-selecting chart in the economic-statistical characteristics, even under two assignable causes.

서포트 벡터 회귀를 이용한 블랙-박스 함수의 최적화 (Using Support Vector Regression for Optimization of Black-box Objective Functions)

  • 곽민정;윤민
    • Communications for Statistical Applications and Methods
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    • 제15권1호
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    • pp.125-136
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    • 2008
  • 많은 실제적인 공학 설계문제에 있어서, 목적함수의 형태는 설계변수들에 의하여 정확하게 주어지지 않는다. 이러한 환경 하에서, 구조해석, 유체 역학 해석, 열역학 분석과 같은 등과 같은 문제에서 설계변수들의 값이 주어졌을 때 목적함수들의 값은 실제 실험이나 계산상의 실험을 통하여 얻어지게 된다. 일반적으로, 이러한 실험들은 많은 비용이 든다. 이런 경우에는 실험의 횟수를 가능한 적게 하기위하여, 목적함수의 형태를 예측하는 것과 병행하여 최적화를 수행하게 된다. 반응표면분석(Response Surface Methodology, RSM)은 이러한 접근 방법에서 잘 알려져 있다. 본 논문에서는 목적함수의 예측을 위하여 서포트 벡터 기계(Support Vector Machines, SVM)의 방법을 적용할 것이다. 이러한 접근에서 가장 중요한 과제들 중의 하나는 가능한 실험의 횟수를 적게 하기 위하여 적절하게 표본자료들을 배치하는 것이다. 이러한 목적에 서포트 벡터의 정보들이 효과적으로 사용되어짐을 보이고 제안한 방법의 효율성은 공학 설계문제에서 잘 알려진 수치 예제를 통하여 보인다.

실험계획법을 이용한 연삭가공물의 표면거칠기 분석 (Surface Roughness Analsis of Surface Grinding by Design of Experiments)

  • 지용주;이상진;박후명;곽재섭;하만경
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2004년도 추계학술대회 논문집
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    • pp.54-59
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    • 2004
  • A measure for good products manufactured by grinding process is the surface roughness that is affected by a lot of operating parameters such as types of abrasive, grain size, bond material, wheel speed, table speed, depth of cut, hardness of workpiece and stiffness of grinding machine. In this study, an application of the design of experiments was tried for evaluating the effect of operating parameters on the surface roughness. The workpiece was a high speed tool steel(SKH51) and the surface grinding was conducted. In order to obtain the best surface roughness within constraints of the working range, the optimal grinding conditions were selected. The usefulness of this method was evaluated by the statistical strategy.

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공간선형모형을 이용한 전산실험의 분석과 활용 (Analysis and Usage of Computer Experiments Using Spatial Linear Models)

  • 박정수
    • 품질경영학회지
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    • 제34권2호
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    • pp.122-128
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    • 2006
  • One feature of a computer simulation experiment, different from a physical experiment, is that the output is often deterministic. Moreover the codes are computationally very expensive to run. This paper deals with the design and analysis of computer experiments(DACE) which is a relatively new statistical research area. We model the response of computer experiments as the realization of a stochastic process. This approach is basically the same as using a spatial linear model. Applications to the optimal mechanical designing and model calibration problems are illustrated. Algorithms for selecting the best spatial linear model are also proposed.

THE METHOD TO CONSTRUCT THE STRONG COMBINED-OPTIMAL DESIGN

  • Huang Pi-Hsiang;Liau Pen-Hwang
    • Journal of the Korean Statistical Society
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    • 제35권2호
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    • pp.201-212
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    • 2006
  • The technique of foldover is usually used by experimenters to de-alias the effects that are interesting in follow-up experiment. Employing a $2^{k-p}$ design with resolution III or higher, Li and Lin (2003) developed an algorithm and used computer programs to search its corresponding optimal foldover design for selected 16-run and 32-run experiments. Based on the minimum aberration criterion, the strong combined-optimal design, defined by Li and Lin, is the better choice of the initial design. In this article, we apply the technique of blocking to find the strong combined-optimal designs. Furthermore, we will tabulate all 16-run and 32-run strong combined-optimal designs and their corresponding core foldover plans for practical use. Some new designs that have not appeared in the other literature but constructed by the technique of blocking are also proposed in this article.

Enhancing the Hexavalent Chromium Bioremediation Potential of Acinetobacter junii VITSUKMW2 Using Statistical Design Experiments

  • Pulimi, Mrudula;Jamwal, Subika;Samuel, Jastin;Chandrasekaran, Natarajan;Mukherjee, Amitava
    • Journal of Microbiology and Biotechnology
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    • 제22권12호
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    • pp.1767-1775
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    • 2012
  • The Cr(VI) removal capability of Acinetobacter junii VITSUKMW2 isolated from the Sukinda chromite mine site was evaluated and enhanced using statistical design techniques. The removal capacity was evaluated at different pH values (5-11) and temperatures ($30-40^{\circ}C$) and with various carbon and nitrogen sources. Plackett-Burman design was used to select the operational parameters for bioremediation of Cr(VI). Three parameters (molasses, yeast extract, and Cr(VI) concentration) were chosen for further optimization using central composite design. The optimal combination of parameters was found to be 14.85 g/l molasses, 4.72 g/l yeast extract, and 54 mg/l initial Cr(VI), with 99.95% removal of Cr(VI) in 12 h. A. junii VITSUKMW2 was shown to have significant potential for removal of Cr(VI).

충돌에너지 흡수효율 최대화를 위한 자동차 사이드 멤버 최적 설계에 관한 연구 (A Study on the Optimum Design of the Automotive Side Member to Maximize the Crash Energy Absorption Efficiency)

  • 이정환;정낙탁;서명원
    • 한국정밀공학회지
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    • 제30권11호
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    • pp.1179-1185
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    • 2013
  • In this study, the design optimization of the automotive side member is performed to maximize the crash energy absorption efficiency per unit weight. Design parameters which seriously influence on the frontal crash performance are selected through the sensitivity analysis using the Plackett-Burman design method. And also the design variables, which are determined from the sensitivity analysis, are optimized by two methods. One is conventional approximate optimization method which uses the statistical design of experiments (DOE) and response surface method (RSM). The other is a methodology derived from previous work by the authors, which is called sequential design of experiments (SDOE), to reduce a trial and error procedure and to find an appropriate condition for using micro-genetic algorithm. The proposed optimization technique shows that the automotive side member structure can be designed considering the frontal crash performance.

Beyond robust design: an example of synergy between statistics and advanced engineering design

  • Barone, Stefano;Erto, Pasquale;Lanzotti, Antonio
    • International Journal of Quality Innovation
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    • 제3권2호
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    • pp.13-28
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    • 2002
  • Higher efficiency and effectiveness of Research & Development phases can be attained using advanced statistical methodologies. In this work statistical methodologies are combined with a deterministic approach to engineering design. In order to show the potentiality of such integration, a simple but effective example is presented. It concerns the problem of optimising the performances of a paper helicopter. The design of this simple device is not new in quality engineering literature and has been mainly used for educational purposes. Taking full advantage of fundamental engineering knowledge, an aerodynamic model is originally formulated in order to describe the flight of the helicopter. Screening experiments were necessary to get first estimates of model parameters. Subsequently, deterministic evaluations based on this model were necessary to set up further experimental phases needed to search (or a better design. Thanks to this integration of statistical and deterministic phases, a significant performance improvement is obtained. Moreover, the engineering knowledge かms out to be developed since an explanation of the “why” of better performances, although approximate, is achieved. The final design solution is robust in a broader sense, being both validated by experimental evidence and closely examined by engineering knowledge.