• 제목/요약/키워드: linear quadratic optimization

검색결과 178건 처리시간 0.038초

클러스터링 방법을 이용한 TSK 퍼지추론 시스템의 설계 및 해석 (Design and Analysis of TSK Fuzzy Inference System using Clustering Method)

  • 오성권
    • 한국정보전자통신기술학회논문지
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    • 제7권3호
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    • pp.132-136
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    • 2014
  • 본 논문에서는 주어진 데이터 전처리를 통한 새로운 형태의 TSK기반 퍼지 추론 시스템을 제안한다. 제안된 모델은 주어진 데이터의 효율적인 처리를 위해 클러스터링 기법인 Fuzzy C-Means 클러스터링 방법을 이용하였다. 제안된 새로운 형태의 퍼지추론 시스템의 전반부는 FCM 을 통하여 정규화된 멤버쉽 함수와 클러스터 수를 결정하기 때문에, 멤버쉽함수의 형태 및 개수를 정의할 필요가 없어, 모델의 구조 또한 간단한 형태를 이룬다. 본 논문에서 사용된 후반부는 4가지 형태로-간략추론, 1차선형추론, 2차선형추론, 변형된 2차선형추론-가 있으며, 이는 효율적인 후반부구조를 찾는데 주도적인 역할을 한다. 또한 제안된 모델의 후반부 파라미터 계수는 Weighted Least Squares Estimation(WLSE)을 사용하여 동정하며, Least Squares Estimation(LSE)를 적용한 모델의 성능과 비교한다. 마지막으로, Boston housing 데이터를 사용하여 제안된 모델의 성능을 평가하였다.

화학적 응집공정에서 요인배치 중심합성설계법을 이용한 축산폐수의 COD 제거특성 평가 및 최적화 연구 (Analysis of Removal Characteristics and Optimization of Livestock Wastewater using a Factorial Design in the Coagulation Process)

  • 조일형;이내현;장순웅;안상우;윤영한;조경덕
    • 한국물환경학회지
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    • 제23권1호
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    • pp.111-121
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    • 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.

초임계 유체에 의한 당근의 ${\beta}-Carotene$ 추출의 최적화 (Optimization for Extraction of ${\beta}-Carotene$ from Carrot by Supercritical Carbon Dioxide)

  • 김영호;장규섭;박영덕
    • 한국식품과학회지
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    • 제28권3호
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    • pp.411-416
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    • 1996
  • 초임계 유체를 이용하여 당근(Daucus carrota L.) 중의 ${\beta}-carotene$ (Y)을 추출하는 최적조건을 규명하기 위하여 추출압력(X_1$ 200-300bar), 온도($X_2,\;35-51^{\circ}C$) 및 시간($X_3$ 60-200min)을 선정하고 중심합성에 의한 실험계획을 설정하였다. 선정된 독립인자($X_1,\;X_2,\;X_3$)의 반응표면에 대한 영향을 분석하고 2차 다항 회귀모형식을$Y={\beta}_0+{\beta}_1X_1+{\beta}_2X_2+{\beta}_3X_3+{\beta}_11X_12+{\beta}_22X_3^2+{\beta}_-12X_1X_2+{\beta}_12X_1X_2+{\beta}_13X_1X_3+{\beta}_23X_2X_3$로 하여 linear, quadratic 및 interaction effects를 관찰하여 다음과 같은 결과를 얻었다. 1) ${\beta}-carotene$ 추출의 주요 인자는 압력, 시간, 온도의 순이었으며 이중, 중심점과 압력인자의 선형회귀 효과는 ${\alpha}(2)$가 0.001(99.9%) 수준에서 유의하였으며 그 회귀 계수는 다음과 같다. ${\beta}(0)\;5.83{\times}10^6,\;{\beta}(1)3.67{\times}10^6,\;{\beta}(2)\;1.24{\times}10^6,\;{\beta}(3)1.01{\times}10^6,\;{\beta}(11)\;-1.23{\times}10^6,\;{\beta}(22)-8.19{\times}10^5\;{\beta}(33)\;-9.79{\times}10^5,\;{\beta}(12)3.31{\times}10^5\;{\beta}(33)\;-9.79{\times}10^5,\;{\beta}(12)3.31{\times}10^5\;{\beta}(13)\;5.18{\times}10^5,\;{\beta}(23)9.08{\times}10^5$ 2) 회귀식에 대한 분산분석 결과, 분산비(Fo)가 8.44로 0.05 수준에서 모델에 의해 도출된 결과를 잘 성명할 수 있으며 그 정확도에 대한 결정계수($r^2$)는 0.938로 높았다. 또한 정상점에서 ${\beta}-carotene$의 반응표면을 정준분석한 결과 중속 변량인 ${\beta}-carotene$추출함량이 최대점임을 확인하였다. 3) 최적조건 즉, 압력은 350bar, 온도는 $51^{\circ}C$ 및 시간은 200min의 조건을 동시에 만족하는 관심영역에서의 ${\beta}-carotene$의 최대추출량은 생당근 100g당 10,611 ${\mu}g$으로 예측되었다.

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반응 표면 분석을 이용한 천문동 첨가 막걸리 재료 혼합물의 최적화 (Optimization of Ingredient for the Preparation of Asparagus cochinchinensis Makgeolli by Response Surface Methodology)

  • 김지영;박금순
    • 동아시아식생활학회지
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    • 제23권6호
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    • pp.799-809
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    • 2013
  • This study was performed to determine the optimal composition of a makgeolli administered nuruk, water and Asparagus cochinchinensis. The experiment was designed base on BBD (box-behnken design), and an evaluation was carried out by means of RSM (response surface methodology), which included 15 experimental points with 3 replicates for the three independent variables nuruk, water and Asparagus cochinchinensis. The nuruk levels were tested in a range of 10~30 g, the water levels in a range 120~180% and Asparagus cochinchinensis was tested within a range of 2~6% by the weight of cooked-rice. Using the F-test, brix and appearance were expressed as a linear model, whereas the pH, acidity, DPPH radical scavenging, L-value, savory taste, taste, fresh aroma, after swallow and overall acceptability were expressed as a quadratic model. Increased amount of Asparagus cochinchinensis led to the reduction of the sensory scores for appearance, flavor, taste, texture and overall quality. The optimum formulation by numerical and graphical method were similar: nuruk 24.50 g, water 174.95% and Asparagus cochinchinensis 2.40%.

패턴 인식을 위한 Interval Type-2 퍼지 집합 기반의 최적 다중출력 퍼지 뉴럴 네트워크 (Optimized Multi-Output Fuzzy Neural Networks Based on Interval Type-2 Fuzzy Set for Pattern Recognition)

  • 박건준;오성권
    • 전기학회논문지
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    • 제62권5호
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    • pp.705-711
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    • 2013
  • In this paper, we introduce an design of multi-output fuzzy neural networks based on Interval Type-2 fuzzy set. The proposed Interval Type-2 fuzzy set-based fuzzy neural networks with multi-output (IT2FS-based FNNm) comprise the network structure generated by dividing the input space individually. The premise part of the fuzzy rules of the network reflects the individuality of the division space for the entire input space and the consequent part of the fuzzy rules expresses three types of polynomial functions with interval sets such as constant, linear, and modified quadratic inference for pattern recognition. The learning of fuzzy neural networks is realized by adjusting connections of the neurons in the consequent part of the fuzzy rules, and it follows a back-propagation algorithm. In addition, in order to optimize the network, the parameters of the network such as apexes of membership functions, uncertainty factor, learning rate and momentum coefficient were automatically optimized by using real-coded genetic algorithm. The proposed model is evaluated with the use of numerical experimentation.

돼지감자 분말과 올리고당을 첨가한 머핀 제조의 최적화 (Optimization of Muffin preparation upon Addition of Jerusalem Artichoke Powder and Oligosaccharide by Response Surface Methodology)

  • 박금순
    • 한국식생활문화학회지
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    • 제29권1호
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    • pp.101-110
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    • 2014
  • This study was performed to determine the optimal composition of a muffin added with jerusalem artichoke powder and oligosaccharide. The experiment was designed based on CCD (central composite design), and evaluation was carried out by means of RSM (response surface methodology), which included 10 experimental points with three replicates each for the two independent variables jerusalem artichoke powder and oligosaccharide. The experimental muffin was prepared according to a traditional recipe, except that the flour was partially replaced by jerusalem artichoke powder (5, 15, or 25%) and the sugar was partially replaced by oligosaccharide (25, 50, or 75%). Using F-test, height, moisture, a-value, b-value, springiness, cohesiveness, texture, and overall acceptability were expressed as a linear model, whereas volume, pH, L-value, appearance, flavor and taste were expressed as a quadratic model. Increased amounts of jerusalem artichoke powder led to reduction of sensory scores for appearance, flavor, taste, texture, and overall quality. The optimum formulation determined by the numerical and graphical methods were similar: jerusalem artichoke powder 10.99%, oligosaccharide 71.40%.

반응표면분석법을 이용한 미나리 분말 첨가 머핀 제조 조건의 최적화 (Optimization of Muffin with Dropwort Powder Using Response Surface Methodology)

  • 박금순;김지영
    • 한국식생활문화학회지
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    • 제29권6호
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    • pp.623-636
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    • 2014
  • This study was performed to determine the optimal composition of muffins added with dropwort powder, egg and sugar. The experiment was designed based on BBD (Box-behnken design), and evaluation was carried out by means of RSM (response surface methodology), consisting of 13 experimental points with three replicates each for three independent variables dropwort powder, eggs and sugar. Using F-test, height, moisture, 1,1-diphenyl-2picriylhydrazyl (DPPH) radical scavenging activity, L-value, a-value, springiness, cohesiveness, chewiness, brittleness, color, and appearance acceptability were expressed as a linear model, whereas pH, b-value, flavor, taste, and texture were expressed as a quadratic model. After swallow and overall acceptability were expressed as a 2FI model. As dropwort powder content increased, 1,1-diphenyl-2picriylhydrazyl (DPPH) radical scavenging activity increased. Increasing amounts of dropwort powder led to reduction of sensory scores for color, appearance, flavor, taste, and texture quality. The optimum formulation determined by the numerical and graphical methods were similar: dropwort powder 6 g, egg 77 g, and sugar 60 g.

하이브리드 굴삭기용 엔진의 효율 향상 방안에 관한 연구 (Study on the Improvement Methods of Engine Efficiency in Hybrid Excavator)

  • 박민제;민경덕
    • 한국자동차공학회논문집
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    • 제24권4호
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    • pp.392-400
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    • 2016
  • In this paper, a study based on engine operating conditions versus hybrid excavator engines was conducted about the engine performance and fuel consumption via the 1-D engine simulation model. First of all, engine operating points with performance and emission were determined by driving patterns. The 1-D HFEM(High Frequency Engine Model) was developed for deep insight into engine combustion and the energy conversion phenomena. In accordance with changing operating points, especially High Idle and Rated output conditions, engine parameters and systems such as turbocharger(Waste Gate Turbocharger and Variable Geometry Turbocharger) injection strategies and EGR(Exhaust Gas Recirculation) should be considered. Therefore, various configurations and parametric analysis with optimization methods in hybrid excavator were simulated and optimized by NLPQL(Non-linear Programming by Quadratic Lagrangian algorithm) in 1-D HFEM. As a result, the fuel consumption with the developed hybrid electric excavator engine could be significantly decreased and bsfc(Brake Specific Fuel Consumption) was also reduced about 5 % to 7 % without any performance degradation.

Optimization of Reflectron for Kinetic and Mechanistic Studies with Multiplexed Multiple Tandem (MSn) Time-of-flight Mass Spectrometry

  • Bae, Yong-Jin;Yoon, So-Hee;Moon, Jeong-Hee;Kim, Myung-Soo
    • Bulletin of the Korean Chemical Society
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    • 제31권1호
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    • pp.92-99
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    • 2010
  • Photoexcitation of a precursor ion inside a cell floated at high voltage installed in a tandem time-of-flight (TOF) mass spectrometer provides triple tandem mass spectrometric information and allows kinetic and mechanistic studies. In this work, the factors affecting, or downgrading, the performance of the technique were identified. Ion-optical and computational analyses showed that an optimum instrument could be designed by utilizing a reflectron with linear-plus-quadratic potential inside. Theoretical predictions were confirmed by tests with instruments built with different ion-optical layout. With optimized instruments, masses of intermediate ions in the consecutive dissociation of a precursor ion could be determined with the maximum error of $\pm5$ Da. We also observed excellent agreement in dynamical parameters (critical energy and entropy) for the dissociation of a model peptide ion determined by instruments with different ion-optical layout operated under optimum conditions. This suggests that these parameters can be determined reliably by the kinetic method developed previously when properly designed and operated tandem TOF instruments are used.

서비스 비용을 고려한 연속적 재고관리시스템 해결을 위한 근사법 (An Approximation Approach for Solving a Continuous Review Inventory System Considering Service Cost)

  • 이동주;이창용
    • 산업경영시스템학회지
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    • 제38권2호
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    • pp.40-46
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    • 2015
  • The modular assembly system can make it possible for the variety of products to be assembled in a short lead time. In this system, necessary components are assembled to optional components tailor to customers' orders. Budget for inventory investments composed of inventory and purchasing costs are practically limited and the purchasing cost is often paid when an order is arrived. Service cost is assumed to be proportional to service level and it is included in budget constraint. We develop a heuristic procedure to find a good solution for a continuous review inventory system of the modular assembly system with a budget constraint. A regression analysis using a quadratic function based on the exponential function is applied to the cumulative density function of a normal distribution. With the regression result, an efficient heuristics is proposed by using an approximation for some complex functions that are composed of exponential functions only. A simple problem is introduced to illustrate the proposed heuristics.