• Title/Summary/Keyword: factorial

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Optimization of Process Variables for the Soda Pulping of Carpolobia Lutea (Polygalaceae) G. Don

  • Ogunsile, B.O.;Uba, F.I.
    • Journal of the Korean Chemical Society
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    • v.56 no.2
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    • pp.257-263
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    • 2012
  • The selection of suitable delignification conditions and optimization of process variables is crucial to the successful operation of chemical pulping processes. Soda pulping of Carpolobia lutea was investigated, as an alternative raw material for pulp and paper production. The process was optimized under the influence of three operational variables, namely, temperature, time and concentration of cooking liquor. Equations derived using a second - order polynomial design predicted the pulp yield and lignin dissolution with errors less than 8% and 11% respectively. The maximum variations in the pulp yield using a second order factorial design was caused by changes in both time and alkali concentration. Optimum pulp yield of 43.87% was obtained at low values of the process variables. The selectivity of lignin dissolution was independent of the working conditions, allowing quantitative estimations to be established between the pulp yield and residual lignin content within the range studied.

Optimal Design of a Linear DC Motor using Statistc Method (통계적 방법을 이용한 선형 직류전동기의 최적설계)

  • 김성수;김동희;노채균
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.15 no.6
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    • pp.97-102
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    • 2001
  • This paper is concerned with optimal design of a linear DC motor which is steading fast in OA and FA systems due to simplicity in structure high-speed operation and high-precision positioning. The approach is based on the statistic method. In this study, firstly, we determine factors that affect significantly the objective function using 2-level factorial design. And then the Response Surface Methodology was app1ied to optimize these factors. Through this application design factors could be optimized within a short term and low experimental cost.

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Optimum Condition for Alcohol Fermentation Using Mume (Prunus mume Sieb. et Zucc) Fruits (매실을 이용한 알콜 발효의 최적 조건)

  • 손상수;지원대;정현채
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.32 no.4
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    • pp.539-543
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    • 2003
  • To produce alcohol from Mume (Prunus mume Sieb. et Zucc) fruits, fermentation conditions were optimized by a response surface methodology (RSM) using the fractional factorial design with 3 variables and 5 levels. The coefficient of determination ($R^2$) of response surface regression equation for alcohol production were 0.9276. Optimum conditions for alcohol production were involved with 8.39% of sugar content, 28.86$^{\circ}C$ of fermentation temperature and 3.84 days of fermentation time. Finally, predicted level of alcohol production at these conditions was 5.24%.

A Study on the Welding Behavior of A3003 Aluminium Alloy Thin Sheet by Nd : YAG Laser Beam (박판 A3003 Al합금의 Nd : YAG 레이저빔 용접에 관한 연구)

  • 허인석;김병철;김도훈;김진수;이한용
    • Laser Solutions
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    • v.4 no.1
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    • pp.29-38
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    • 2001
  • This work was carried out to investigate the welding behavior of thin A3003 Al alloy sheets by Nd : YAG laser beam. Considering bead shape and mechanical properties, the laser pulse shapes selected were two kinds of 2-division and 3-division by varying power level and pulse duration. In order to obtain optimum conditions, the factorial design method and central composite design method were applied. Tensile test, optical microscopy, micro hardness test and TEM analysis were performed. Due to the annealing caused by thermal effect during laser welding, precipitates were coarsended. The HAZ was softened and failed during tensile test. The hardness of HAZ was lower than that of base metal, since the heat input relieved the work hardening effect and caused grain growth.

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Methodology to Simultaneously Optimize the Inlet Ozone Concentration to Oxidize NO and Relative Humidity Composition for the $NO_x$ Degradation using Soil Bio-filter

  • Cho, Ki-Chul;Hwang, Kyung-Chul
    • Journal of Korean Society for Atmospheric Environment
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    • v.24 no.E2
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    • pp.83-91
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    • 2008
  • This work investigated the methodology to simultaneously optimize the ozone and relative humidity composition for the $NO_x$ degradation using soil biofilter. Experiments were made as a function of inlet ozone concentration ($0{\sim}1,770\;ppb$) and relative humidity ($38{\sim}81%$). Factorial design ($2^2+3$) and response surface methodology by central composite designs were used to examine the role of two factors and optimal response condition on $NO_x$ degradation. It was found that a second-order response surface model can properly interpret the experimental data with an $R^2$-value of 0.9730 and F-value of 71.83, based on which the maximum $NO_x$ degradation was predicted up to 92.8% within our experimental conditions.

An Experimental Study on the Measurement Performance of Coordinate Measuring Machine (3 차원 좌표 측정기의 측정 성능에 대한 실험적 연구)

  • Lee, Seung-Pyo;Kang, Hyung-Joo;Ha, Sung-Kyu
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.3
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    • pp.47-54
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    • 2009
  • In the manufacturing industry, there has been a significant increase in the use of coordinate measuring machines(CMM). In this paper, the sources of CMM measurement performance are discussed. The effects of workpiece position, length and orientation are analyzed by using the design of experiments. Both a fractional factorial design and a factorial design are employed to conduct the experimental study. The analysis of variance is performed to determine the significance of factors in the experiment and regression analysis is applied to make the measurement approximate model. The results show that position along the Z axis, length and orientation affect the CMM measurement performance.

Optimal design of formed tool for die of rubber seals using design of experiments (실험계획법에 의한 러버실 금형가공을 위한 총형공구의 최적설계)

  • Li Lihai;Lim P.;Lee H.K.;Yang G.E.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.694-697
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    • 2005
  • The design of experiments are used for optimal design of formed tools to machine automobile bearing rubber seal die, which is classified into the high precision rubber mold. The clearance angle, rake angle and the length cutting edge are considered as the factors. The cutting force is selected to be a characteristic value and compared with the mean tool wear and life by repeated experiments. The design of the experiment is based on the repeated one-way factorial design, which finds the significance of the factors and the best level to predict the tool life by using ANOVA and regression.

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A System Design of Evolutionary Optimizer for Continuous Improvement of Full-Scale Manufacturing Processes (양산공정의 지속적 품질개선을 위한 Evolutionary Optimizer의 시스템 설계)

  • Rhee, Chang-Kwon;Byun, Jai-Hyun;Do, Nam-Chul
    • IE interfaces
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    • v.18 no.4
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    • pp.465-476
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    • 2005
  • Evolutionary operation is a useful tool for improving full-scale manufacturing process by systematically changing the levels of the process variables without jeopardizing the product. This paper presents a system design for the evolutionary operation software called 'evolutionary optimizer'. Evolutionary optimizer consists of four modules: factorial design, many variables, mixture, and mean/dispersion. Context diagram, data flow diagram and entity-relationship modelling are used to systematically design the evolutionary optimizer system.

KRULL RING WITH UNIQUE REGULAR MAXIMAL IDEAL

  • Chang, Gyu Whan
    • Korean Journal of Mathematics
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    • v.15 no.2
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    • pp.115-119
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    • 2007
  • Let R be a Krull ring with the unique regular maximal ideal M. We show that R has a regular prime element and reg-$dimR=1{\Leftrightarrow}R$ is a factorial ring and reg-$dim(R)=1{\Rightarrow}M$ is invertible ${\Leftrightarrow}R{\varsubsetneq}[R:M]{\Leftrightarrow}M$ is divisorial ${\Leftrightarrow}$ reg-$htM=1{\Rightarrow}R$ is a rank one discrete valuation ring. We also show that if M is generated by regular elements, then R is a rank one discrete valuation ring ${\Rightarrow}$ R is a factorial ring and reg-dim(R)=1.

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A Study on the Construction and Analysis of Fractional Designs by Using Arrays for Factorial Experiments (배열을 이용한 효과적인 일부실시법의 설계 및 분석방법에 관한 연구)

  • Kim, Sang-Ik
    • Journal of Korean Society for Quality Management
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    • v.40 no.1
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    • pp.15-24
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    • 2012
  • For the construction of fractional factorial designs, the various arrays can be widely used. In this paper we review the statistical properties of fractional designs constructed by two arrays such as orthogonal array and partially balanced array, and develop a quick and easy method for analyzing unreplicated saturated designs. The proposed method can be characterized that we control the error rate by experiment-wise way and exploit the multivariate Student $t$-distribution. Especially the proposed method can be used efficiently together with some exploratory analysis methods, such as half normal probability plot method.