• 제목/요약/키워드: Multiple response surface optimization

검색결과 88건 처리시간 0.027초

An Evaluation of Multiple-input Dual-output Run-to-Run Control Scheme for Semiconductor Manufacturing

  • Fan, Shu-Kai-S.;Lin, Yen
    • Industrial Engineering and Management Systems
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    • 제4권1호
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    • pp.54-67
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    • 2005
  • This paper provides an evaluation of an optimization-based, multiple-input double-output (MIDO) run-to-run (R2R) control scheme for general semiconductor manufacturing processes. The controller in this research, termed adaptive dual response optimizing controller (ADROC), can serve as a process optimizer as well as a recipe regulator between consecutive runs of wafer fabrication. In evaluation, it is assumed that the equipment model could be appropriately described by a pair of second-order polynomial functions in terms of a set of controllable variables. Of practical relevance is to consider a drifting effect in the equipment model since in common semiconductor practice the process tends to drift due to machine aging and tool wearing. We select a typical application of R2R control to chemical mechanical planarization (CMP) in semiconductor manufacturing in this evaluation, and there are five different CMP process scenarios demonstrated, including mean shift, variance increase, and IMA disturbances. For the controller, ADROC, an on-line estimation technique is implemented in a self-tuning (ST) control manner for the adaptation purpose. Subsequently, an ad hoc global optimization algorithm based on the dual response approach, arising from the response surface methodology (RSM) literature, is used to seek the optimum recipe within the acceptability region for the execution of next run. The main components of ADROC are described and its control performance is assessed. It reveals from the evaluation that ADROC can provide excellent control actions for the MIDO R2R situations even though the process exhibits complicated, nonlinear interaction effects between control variables, and the drifting disturbances.

실외기 shroud 형상 최적 설계 (Optimization of design parameters on the shroud of air conditioner outdoor unit)

  • 유기정;예휘열;이상봉;이관수;차우호
    • 대한설비공학회:학술대회논문집
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    • 대한설비공학회 2009년도 하계학술발표대회 논문집
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    • pp.453-458
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    • 2009
  • This paper presents a numerical evaluation of the flow rate of air conditioner outdoor unit as function of shroud design parameters. To determine the optimal design parameters, we investigated the flow rate by changing bell mouth height, fan height, fan guide height, fan width. The evaluation of the relative priority of the design parameters was performed to choose three important parameters in order to use a response surface method. The flow rate of the optimum model, compared to that of the base model, was increased by about 6.25%.

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실외기 토출 유량 증대를 위한 Shroud 형상 및 휀 위치 최적 설계 (Optimization of Shroud Shape and Fan Location for Increasing Exhaust Flow Rate of Air Conditioner Outdoor Unit)

  • 유기정;김유일;이관수;차우호
    • 설비공학논문집
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    • 제21권11호
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    • pp.599-605
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    • 2009
  • This paper presents a numerical evaluation of the flow rate of air conditioner outdoor unit by investigating the effects of fan location and shroud shape. To determine optimal design parameters, we investigated the exhaust flow rate by changing shroud height, fan height, fan guide height, and fan width. The 3rd order central composite design was performed to select three most important parameters affecting the exhaust flow rate. According to the result of response surface method, the exhaust flow rate of the optimum model increased by 6.25% compared to that of the base model.

반응표면분석에서의 다반응 최적화 : 기대 상대오차제곱 추정치 가중합의 최소화에 의한 방법 (Multiresponse Optimization in Response Surface Analysis : A Method by Minimization of Weighted Sum of Estimates of Expected Squared Relative Errors)

  • 임성수;이우선
    • 품질경영학회지
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    • 제33권1호
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    • pp.73-82
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    • 2005
  • This article proposes a practical approach, which is based on the concept of the expected squared relative error, that can consider both the prediction quality and the practitioner's subjectivity in simultaneously optimizing multiple responses. Through a case study, multiresponse optimization using the expected squared relative error approach is illustrated, and the SAS program to implement the proposed method is provided.

MRA에서 특성값의 측정단위와 수치형태에 따른 종합 만족도 산출 방법 (Calculation of Composite Desirability Function According to the Measurement Unit and Numerical Pattern of Characteristics in the Multiple Response Analysis)

  • 최성운
    • 대한안전경영과학회:학술대회논문집
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    • 대한안전경영과학회 2009년도 추계학술대회
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    • pp.565-572
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    • 2009
  • This paper presents the optimization steps with weight and importance of estimated characteristic values in the multiresponse surface analysis(MRA). The research introduces the shape parameter of individual desirability function for relaxation and tighening of specification bounds. The study also proposes the combinded desirability function using arithmetic, geometric and harmonic means considering the measurement unit and numerical pattern.

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공정변수의 변동을 고려한 손실함수를 통한 다중반응표면 최적화 (Multiresponse Optimization through a Loss Function Considering Process Parameter Fluctuation)

  • 권준범;이종석;이상호;전치혁;김광재
    • 대한산업공학회지
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    • 제31권2호
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    • pp.164-172
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    • 2005
  • A loss function approach to a multiresponse problem is considered, when process parameters are regarded as random variables. The variation of each response may be amplified through so called propagation of error (POE), which is defined as the standard deviation of the transmitted variability in the response as a function of process parameters. The forms of POE for each response and for a pair of responses are proposed and they are reflected in our loss function approach to determine the optimal condition. The proposed method is illustrated using a polymer case. The result is compared with the case where parameter fluctuation is not considered.

Effect of Extraction Conditions of Green Tea on Antioxidant Activity and EGCG Content: Optimization using Response Surface Methodology

  • Kim, Mun Jun;Ahn, Jong Hoon;Kim, Seon Beom;Jo, Yang Hee;Liu, Qing;Hwang, Bang Yeon;Lee, Mi Kyeong
    • Natural Product Sciences
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    • 제22권4호
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    • pp.270-274
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    • 2016
  • Green tea, the leaves of Camellia sinsneis (Theaceae), is generally acknowledged as the most consumed beverage with multiple pharmacological functions including antioxidant activity. This study was performed to analyze the effect of extraction conditions of green tea on its antioxidant effects using DPPH assay. Three extraction factors such as extraction solvent (EtOH, 0 - 100%), extraction time (3 - 15 min) and extraction temperature ($10-70^{\circ}C$) were analyzed and optimized extraction condition for antioxidant activity of green tea extract (GTE) was determined using response surface methodology with three-level-three-factor Box-Behnken design (BBD). Regression analysis showed a good fit of data and the optimal conditions of extraction were found to be 57.7% EtOH, 15 min and $70^{\circ}C$. Under this condition, antioxidant activity of experimental data was 88.4% which was almost fit to the ideal value of 88.6%. As epigallocatechin gallate (EGCG) is known for the major ingredient for antioxidant activity of green tea, we investigated the effect of EGCG on antioxidant activity of GTE. EGCG showed antioxidant activity with the $IC_{50}$ value of $4.2{\mu}g/ml$ and a positive correlation was observed between EGCG content and the antioxidant activity of GTE with $R^2=0.7134$. Interestingly, however, GTE with 50 - 70% antioxidant activity contain less than $1.0{\mu}g/ml$ of EGCG, which is much lower than $IC_{50}$ value of EGCG. Therefore, we suppose that EGCG together with other constituents contribute to antioxidant activity of GTE. Taken together, these results suggest that green tea is more beneficial than EGCG alone for antioxidant ability and optimal extraction condition of green tea will be useful for the development of food and pharmaceutical applications

반응표면법을 이용한 원심팬 성능/소음 최적화 (Performance/Noise Optimization of Centrifugal Fan Using Response Surface Method)

  • 신동휘;허승;정철웅;김태훈;정지원
    • 대한기계학회논문집A
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    • 제41권3호
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    • pp.165-172
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    • 2017
  • 본 논문에서는 가정용 냉장고의 내부 냉기순환용 원심팬의 고성능/저소음 최적설계를 수행하였다. 최적설계를 위해 여러 독립변수들이 어떠한 종속변수에 영향을 줄 때 용이하게 적용할 수 있는 반응표면법을 사용하였으며, 블레이드의 입구각, 출구각, 내경을 독립변수로 선정하였다. 먼저 이를 통해 팬 블레이드의 유량을 최대화하였으며, 3-D 프린터를 이용해 샘플을 제작하였고, 만들어진 팬의 P-Q곡선을 측정하여 개선된 팬이 유량의 증가를 보임을 확인하였다. 또한 기존 팬과 동일한 유량을 가지도록 새로운 팬의 회전속도를 저감시킬 경우, 1.7 dBA의 소음 저감 효과가 있음을 확인할 수 있었다.

실험계획법을 이용한 가스 혼합-순환식 플라즈마 공정의 최적화 (Optimization of Gas Mixing-circulation Plasma Process using Design of Experiments)

  • 김동석;박영식
    • 한국환경과학회지
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    • 제23권3호
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    • pp.359-368
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    • 2014
  • The aim of our research was to apply experimental design methodology in the optimization of N, N-Dimethyl-4-nitrosoaniline (RNO, which is indictor of OH radical formation) degradation using gas mixing-circulation plasma process. The reaction was mathematically described as a function of four independent variables [voltage ($X_1$), gas flow rate ($X_2$), liquid flow rate ($X_3$) and time ($X_4$)] being modeled by the use of the central composite design (CCD). RNO removal efficiency was evaluated using a second-order polynomial multiple regression model. Analysis of variance (ANOVA) showed a high coefficient of determination ($R^2$) value of 0.9111, thus ensuring a satisfactory adjustment of the second-order polynomial multiple regression model with the experimental data. The application of response surface methodology (RSM) yielded the following regression equation, which is an empirical relationship between the RNO removal efficiency and independent variables in a coded unit: RNO removal efficiency (%) = $77.71+10.04X_1+10.72X_2+1.78X_3+17.66X_4+5.91X_1X_2+3.64X_2X_3-8.72X_2X_4-7.80X{_1}^2-6.49X{_2}^2-5.67X{_4}^2$. Maximum RNO removal efficiency was predicted and experimentally validated. The optimum voltage, air flow rate, liquid flow rate and time were obtained for the highest desirability at 117.99 V, 4.88 L/min, 6.27 L/min and 24.65 min, respectively. Under optimal value of process parameters, high removal(> 97 %) was obtained for RNO.

Machinability investigation and sustainability assessment in FDHT with coated ceramic tool

  • Panda, Asutosh;Das, Sudhansu Ranjan;Dhupal, Debabrata
    • Steel and Composite Structures
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    • 제34권5호
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    • pp.681-698
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    • 2020
  • The paper addresses contribution to the modeling and optimization of major machinability parameters (cutting force, surface roughness, and tool wear) in finish dry hard turning (FDHT) for machinability evaluation of hardened AISI grade die steel D3 with PVD-TiN coated (Al2O3-TiCN) mixed ceramic tool insert. The turning trials are performed based on Taguchi's L18 orthogonal array design of experiments for the development of regression model as well as adequate model prediction by considering tool approach angle, nose radius, cutting speed, feed rate, and depth of cut as major machining parameters. The models or correlations are developed by employing multiple regression analysis (MRA). In addition, statistical technique (response surface methodology) followed by computational approaches (genetic algorithm and particle swarm optimization) have been employed for multiple response optimization. Thereafter, the effectiveness of proposed three (RSM, GA, PSO) optimization techniques are evaluated by confirmation test and subsequently the best optimization results have been used for estimation of energy consumption which includes savings of carbon footprint towards green machining and for tool life estimation followed by cost analysis to justify the economic feasibility of PVD-TiN coated Al2O3+TiCN mixed ceramic tool in FDHT operation. Finally, estimation of energy savings, economic analysis, and sustainability assessment are performed by employing carbon footprint analysis, Gilbert approach, and Pugh matrix, respectively. Novelty aspects, the present work: (i) contributes to practical industrial application of finish hard turning for the shaft and die makers to select the optimum cutting conditions in a range of hardness of 45-60 HRC, (ii) demonstrates the replacement of expensive, time-consuming conventional cylindrical grinding process and proposes the alternative of costlier CBN tool by utilizing ceramic tool in hard turning processes considering technological, economical and ecological aspects, which are helpful and efficient from industrial point of view, (iii) provides environment friendliness, cleaner production for machining of hardened steels, (iv) helps to improve the desirable machinability characteristics, and (v) serves as a knowledge for the development of a common language for sustainable manufacturing in both research field and industrial practice.