• 한국구조물진단유지관리공학회 논문집
• /
• 제19권5호
• /
• pp.92-103
• /
• 2015

Box-Wilson 실험계획법은 보통 중심합성계획법으로 알려져 있으며, 변동성이 존재하는 정보를 실험 계획적 방법으로 수집하는 설계 기법이다. 이 방법은 최소의 설계비용으로 가능한 많은 정보를 얻는 목적으로 고안되었다. 본 연구에서는 60 MPa급 고강도 자기충전형 콘크리트(HSSCC)를 대상으로 다양한 성능에 대한 여러 배합인자들의 효과를 효율적으로 파악하고 최적배합을 찾는 과정에 이 방법을 적용하였다. HSSCC의 배합인자(요인)와 물리적 성능(반응) 사이의 비선형적 관계는 2차 다항식으로 반응표면을 근사화 모델링하였으며, 요인점=25=32개, 축점=2k=10개, 중심점은 각 축에서 2번 씩 10개, 총 52개의 실험점에서 물시멘트비, 단위시멘트량, 잔골재비, 단위플라이애쉬량, 단위고성능감수량의 총 5개의 인자에 따른 압축강도, 통과능력, 재료분리저항성, 제조비용, 밀도 등의 총 5개의 반응을 파악하기 위한 실험이 실시되었다. 연구의 결과 Box-Wilson 실험계획법은 배합인자와 반응 사이의 관계를 과학적인 방법으로 계획하고 객관적으로 해석하는 데 매우 효과적이었으며, 수치해석적인 방법으로 최적배합을 계산할 수 있었다.

• 한국물환경학회지
• /
• 제23권1호
• /
• pp.111-121
• /
• 2007

The experimental design and response surface methodologies haven been applied to the investigation of the chemical coagulation of livestock wastewater. The chemical coagulation reactions were mathematically described as a function of parameters raping mixing (rpm) of chemical coagulation ($X_1$), slow mixing (rpm) of chemical coagulation ($X_2$), $FeCl_3 $ concentration (mg/L) ($X_3$) and pH ($X_4$) being modeled by use of the central composite design. Empirical models were developed to describe relationship between the experimental variables and response. Statistical analysis indicates that three factors ($X_1$: raping mixing (rpm), $X_2$: slow mixing (rpm), $X_3$: $FeCl_3 $ concentration (mg/L) on the linear term (main effect), slow mixing (rpm) (${X_2}^2$) on the non-linear term (quadratic), and two factors ($X_1-X_3$, $X_2-X_3$) on the non-linear term (cross-product) had significant effects, respectively. The estimated ridge of maximum responses and optimal conditions for CODcr using canonical analysis was 87.44% ($X_1$: 229 rpm, $X_2$: 51 rpm, $X_3$: 877 mg/L, $X_4$: 4.3). To confirm this optimum condition, three additional experiments were performed and the mean CODcr removal (%) and concentration (mg/L) with a standard deviation of $87{\pm}1.2%$ ($576{\pm}34ppm$) were obtained.

• Environmental Engineering Research
• /
• 제15권2호
• /
• pp.63-70
• /
• 2010

In this study, the response surface method and experimental design were applied as an alternative to conventional methods for the optimization of coagulation tests. A central composite design, with 4 axial points, 4 factorial points and 5 replicates at the center point were used to build a model for predicting and optimizing the coagulation process. Mathematical model equations were derived by computer simulation programming with a least squares method using the Minitab 15 software. In these equations, the removal efficiencies of turbidity and total organic carbon (TOC) were expressed as second-order functions of two factors, such as alum dose and coagulation pH. Statistical checks (ANOVA table, $R^2$ and $R^2_{adj}$ value, model lack of fit test, and p value) indicated that the model was adequate for representing the experimental data. The p values showed that the quadratic effects of alum dose and coagulation pH were highly significant. In other words, these two factors had an important impact on the turbidity and TOC of treated water. To gain a better understanding of the two variables for optimal coagulation performance, the model was presented as both 3-D response surface and 2-D contour graphs. As a compromise for the simultaneously removal of maximum amounts of 92.5% turbidity and 39.5% TOC, the optimum conditions were found with 44 mg/L alum at pH 7.6. The predicted response from the model showed close agreement with the experimental data ($R^2$ values of 90.63% and 91.43% for turbidity removal and TOC removal, respectively), which demonstrates the effectiveness of this approach in achieving good predictions, while minimizing the number of experiments required.

• 한국지하수토양환경학회지:지하수토양환경
• /
• 제12권5호
• /
• pp.73-85
• /
• 2007

본 연구에서는 액상에서 EGBE, DGBE, DBM, TGME의 효율적인 분석을 위해 이용되던 액상추출법을 대신할 수 있는 방법으로 GC/FID를 이용한 SPME법 실험 연구를 진행하였다. 그리고 실험계획법(DOE)을 사용하여 EGBE를 포함한 디젤첨가제 미량분석의 최적조건을 설명하였다. 실험은 통계분석결과 뿐만 아니라 요인 수의 최적화에 따른 중심합성설계에 의한 완전요인 설계법을 사용하였다. 반응표면분석은 추출 효율이 주 영향인 염농도, 흡착 온도, 흡착 시간과 sonication 시간에 따른 2차 다항식에 의해 설명될 수 있음을 보여주었다. 실험계획법(DOE)을 사용하는 것은 액상 시료에서 디젤첨가제의 정량분석을 개선하는 자료분석법이 될 것이다.

• Membrane and Water Treatment
• /
• 제7권3호
• /
• pp.223-240
• /
• 2016

In this study, poly(vinyl-alcohol) and water insoluble ${\beta}$-cyclodextrin polymer (${\beta}$-CDP) cross-linked with citric acid, have been used as macrocyclic carrier in the preparation of polymer inclusion membranes (PIMs) for aniline (as molecule model) extraction from aqueous media. The obtained membranes were firstly characterized by X-ray diffraction, Fourier transform infrared and water swelling test. The transport of aniline was studied in a two-compartment transport cell under various experimental conditions, such as carrier content in the membranes, stirring rate and initial aniline concentration. The kinetic study was performed and the kinetic parameters were calculated as rate constant (k), permeability coefficient (P) and flux (J). These first results demonstrated the utility of such polymeric membranes for environmental decontamination of toxic organic molecules like aniline. Predictive modeling of transport flux through these materials was then studied using design of experiments; the design chosen was a two level full factorial design $2^k$. An empirical correlation between aniline transport flux and independent variables (Poly ${\beta}$-CD membrane content, agitation speed and initial aniline concentration) was successfully obtained. Statistical analysis showed that initial aniline concentration of the solution was the most important parameter in the study domain. The model revealed the existence of a strong interaction between the Poly ${\beta}$-CD membrane content and the stirring speed of the source solution. The good agreement between the model and the experimental transport data confirms the model's validity.

• Journal of the Korean Statistical Society
• /
• 제36권2호
• /
• pp.201-208
• /
• 2007

Evolutionary operation (EVOP) proposed by Box (1957) is a method for continuous monitoring and improvement of a full-scale manufacturing process with the objective of moving the operating conditions toward the better ones. EVOP consists of systematically making small changes in the levels of the two or three process variables under consideration. Data are collected on the response variable at each point of two level factorial design with the center point and a cycle is said to have been completed. The cycles are replicated sequentially until the decision is made on whether further cycle of experiments is needed to conclude the significance of any of main effects or interaction effects or the curvature. In this paper, an improved flow chart of EVOP is proposed and how to determine the number of cycles is studied based on the size of type II error. In order to reject the alternative hypothesis of interests with more confidence and conclude that we believe in the null hypothesis of no effects, we propose a counter measure $p^*-value$ corresponding to the p-value. The relationship of $p^*-value$ to the probability of type II error ${\beta}$ under the alternative hypothesis of interests is analogous to that of p-value to the probability of type I error ${\alpha}$. Also the implementation of EVOP with a mixture experiment is discussed.

• 한국재료학회지
• /
• 제25권7호
• /
• pp.322-329
• /
• 2015

The magnitude of wear should be at a minimum for numerous automobile and aeronautical components. In the current work, composites were prepared by varying the cenosphere content using the conventional stir casting method. A uniform distribution of particles was ensured with the help of scanning electron microscopy (SEM). Three major parameters were chosen from various factors that affect the wear. A wear test was conducted with a pin-on-disc apparatus; the controlling parameters were volume percentages of reinforcement of 5, 10, 15, and 20%, applied loads of 9.8, 29.42, and 49.03 N, and sliding speeds of 1.26, 2.51, and 3.77 m/s. The design of the experiments (DOE) was performed by varying the different influencing parameters using the full factorial method. An analysis of variance (ANOVA) was used to analyze the effects of the parameters on the wear rate. Using regression analysis, a response curve was obtained based on the experimental results. The parameters in the resulting curve were optimized using the Genetic Algorithm (GA). The GA results were compared with those of an alternate efficient algorithm called Neural Networks (NNs).

• 한국의류학회지
• /
• 제20권3호
• /
• pp.538-549
• /
• 1996

The main purpose of this study was to determine the influence of brand and country-of-origin on consumers' perception of apparel products. $2\times2$ between subjects factorial design with brand (no brand vs. prestigious brand) and country-of-origin (Italy vs. Korea) was used. Consumer ethnocentrism and product involvement were included as covariates in analyzing the data. The stimuus was a double-breasted v-neckline beige jacket. All the labels were removed and a label indicating one of the four brand/country-of-origin conditions was attached. The participants' perception of the jacket was measured in terms of product attitude, product evaluation, purchase intention and expected price. A total of 205 housewives participated in the field experiments conducted in front of four moi or department stores in Seoul, and 202 responses were used in the final analysis. There was no significant difference in product attitude, product evaluation and purchase intention according to brand or country-of-origin. But brand, country-of-origin and the interaction between the variables were significant in explaining the differences in expected price. Consumer ethnocentrism was significant in all the models, while product involvement was significant only in the case of product evaluation. The relationships among demographic variables, consumer ethnocentrism and product involvement were also examined.

• 반도체디스플레이기술학회지
• /
• 제8권4호
• /
• pp.1-5
• /
• 2009

This investigation is applied Taguchi method and the analysis of variance(ANOVA) to the reactive ion etching(RIE) characteristics of $SiO_2$ film coated on a wafer with Experimental Analysis and Optimization of $CF_4/O_2$ Plasma Etching Process mixture. Plans of experiments via nine experimental runs are based on the orthogonal arrays. A $L_9$ orthogonal array was selected with factors and three levels. The three factors included etching time, RF power, gas mixture ratio. The etching rate of the film were measured as a function of those factors. In this study, the etching thickness mean and uniformity of thickness of the RIE are adopted as the quality targets of the RIE etching process. The partial factorial design of the Taguchi method provides an economical and systematic method for determining the applicable process parameters. The RIE are found to be the most significant factors in both the thickness mean and the uniformity of thickness for a RIE etching process.

• 한국생산제조학회지
• /
• 제18권6호
• /
• pp.652-657
• /
• 2009

MPW(Magnetic Pulse Welding) is a technologies for welding of metals by means of repulsive force on account of the interaction between electro-magnetic field of coil and current induced in outer pipe. These MPW is one of the most useful welding process of welding ability of the dissimilar metal in which cylindrical materials, such as pipe, tube. As the quality of a weld joint is strongly influenced by process parameters during the welding process and the success of the welding to evaluated according to the leakage pressure. Generally, the process parameters is magnetic pressure, the gap between outer pipe and inner pipe, and the ratio of thickness to diameter of pipe(D/T) in MPW. Therefore, the goal of this study was to explain the effect of parameters on the weld joint leakage pressure. For these purposes, FFD(Fractional Factorial Design) were used for the experiment. The measured data were analyzed by regression analysis and verification experiments with random condition were conducted to confirm the suggested experimental model.