• Title/Summary/Keyword: kriging model

Search Result 330, Processing Time 0.025 seconds

Sequential Feasible Domain Sampling of Kriging Metamodel by Using Penalty Function (벌칙함수 기반 크리깅메타모델의 순차적 유용영역 실험계획)

  • Lee Tae-Hee;Seong Jun-Yeob;Jung Jae-Jun
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.30 no.6 s.249
    • /
    • pp.691-697
    • /
    • 2006
  • Metamodel, model of model, has been widely used to improve an efficiency of optimization process in engineering fields. However, global metamodels of constraints in a constrained optimization problem are required good accuracy around neighborhood of optimum point. To satisfy this requirement, more sampling points must be located around the boundary and inside of feasible region. Therefore, a new sampling strategy that is capable of identifying feasible domain should be applied to select sampling points for metamodels of constraints. In this research, we suggeste sequential feasible domain sampling that can locate sampling points likely within feasible domain by using penalty function method. To validate the excellence of feasible domain sampling, we compare the optimum results from the proposed method with those form conventional global space-filling sampling for a variety of optimization problems. The advantages of the feasible domain sampling are discussed further.

Louvered Fin Heat Exchanger : Optimal Design and Numerical Investigation of Heat and Flow Characteristics (루버휜 최적 설계 및 최적 모델의 열유동 특성 분석)

  • Ryu, Kijung;Lee, Kwan-Soo
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.25 no.12
    • /
    • pp.654-659
    • /
    • 2013
  • This paper presents a numerical optimization of louvered fins to enhance the JF factor in terms of the design parameters, including the fin pitch, the number of louvers, the louver angle, the fin thickness, and the re-direction louver length. We carried out a parametric study to select the three most important parameters affecting the JF factor, which were the fin pitch, number of louvers, and the louver angle. We optimally designed the louvered fin by using 3rd-order full factorial design, the kriging method, and a micro genetic algorithm. Consequently, the JF factor of the optimum model increased by 16% compared to that of the base model. Moreover, the optimum model reduced the pressure drop by 17% with a comparable heat transfer rate.

Study on Wind Power Prediction model based on Spatial Modeling (공간모델링 기반의 풍력발전출력 예측 모델에 관한 연구)

  • Jung, Solyoung;Hur, Jin;Choy, Young-do
    • KEPCO Journal on Electric Power and Energy
    • /
    • v.1 no.1
    • /
    • pp.163-168
    • /
    • 2015
  • In order to integrate high wind generation resources into power grid, it is an essential to predict power outputs of wind generating resources. As wind farm outputs depend on natural wind resources that vary over space and time, spatial modeling based on geographic information such as latitude and longitude is needed to estimate power outputs of wind generation resources. In this paper, we introduce the basic concept of spatial modeling and present the spatial prediction model based on Kriging techniques. The empirical data, wind farm power output in Texas, is considered to verify the proposed prediction model.

Estimating Forest Carbon Stocks in Danyang Using Kriging Methods for Aboveground Biomass (크리깅 기법을 이용한 단양군의 산림 탄소저장량 추정 - 지상부 바이오매스를 대상으로 -)

  • Park, Hyun-Ju;Shin, Hyu-Seok;Roh, Young-Hee;Kim, Kyoung-Min;Park, Key-Ho
    • Journal of the Korean Association of Geographic Information Studies
    • /
    • v.15 no.1
    • /
    • pp.16-33
    • /
    • 2012
  • The aim of this study is to estimate aboveground biomass carbon stocks using ordinary kriging(OK) which is the most commonly used type of kriging and regression kriging(RK) that combines a regression of the auxiliary variables with simple kriging. The analysis results shows that the forest carbon stock in Danyang is estimated at 3,459,902 tonC with OK and 3,384,581 tonC with RK in which the R-square value of the regression model is 0.1033. The result of RK conducted with sample plots stratified by forest type(deciduous, conifer and mixed) shows the lowest estimated value of 3,336,206 tonC and R-square value(0.35 and 0.18 respectively) is higher than that of when all sample plots used. The result of leave-one-out cross validation of each method indicates that RK with all sample plots reached the smallest root mean square error(RMSE) value(22.32 ton/ha) but the difference between the methods(0.23 ton/ha) is not significant.

Mean-Variance-Validation Technique for Sequential Kriging Metamodels (순차적 크리깅모델의 평균-분산 정확도 검증기법)

  • Lee, Tae-Hee;Kim, Ho-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.34 no.5
    • /
    • pp.541-547
    • /
    • 2010
  • The rigorous validation of the accuracy of metamodels is an important topic in research on metamodel techniques. Although a leave-k-out cross-validation technique involves a considerably high computational cost, it cannot be used to measure the fidelity of metamodels. Recently, the mean$_0$ validation technique has been proposed to quantitatively determine the accuracy of metamodels. However, the use of mean$_0$ validation criterion may lead to premature termination of a sampling process even if the kriging model is inaccurate. In this study, we propose a new validation technique based on the mean and variance of the response evaluated when sequential sampling method, such as maximum entropy sampling, is used. The proposed validation technique is more efficient and accurate than the leave-k-out cross-validation technique, because instead of performing numerical integration, the kriging model is explicitly integrated to accurately evaluate the mean and variance of the response evaluated. The error in the proposed validation technique resembles a root mean squared error, thus it can be used to determine a stop criterion for sequential sampling of metamodels.

Mapping of Temperature and Rainfall Using DEM and Multivariate Kriging (수치표고모델과 다변량 크리깅을 이용한 기온 및 강수 분포도 작성)

  • Park, No-Wook;Jang, Dong-Ho
    • Journal of the Korean Geographical Society
    • /
    • v.43 no.6
    • /
    • pp.1002-1015
    • /
    • 2008
  • We investigate the potential of digital elevation model and multivariate geostatistical kriging in mapping of temperature and rainfall based on sparse weather station observations. By using elevation data which have reasonable correlation with temperature and rainfall, and are exhaustively sampled in the study area, we try to generate spatial distributions of temperature and rainfall which well reflect topographic effects and have less smoothing effects. To illustrate the applicability of this approach, we carried out a case study of Jeju island using observation data acquired in January, April, August, and October, 2005. From the case study results, accounting for elevation via colocated cokriging could reflect detailed topographic characteristics in the study area with less smoothing effects. Colocated cokriging also showed much improved prediction capability, compared to that of traditional univariate ordinary kriging. According to the increase of the magnitude of correlation between temperature or rainfall and elevation, much improved prediction capability could be obtained. The decrease of relative nugget effects also resulted in the improvement of prediction capability.

Aquifer Transmissivity Estimation with Kriging Techniques and Numerical Model in the LAN (Kriging기법과 수치모형에 의한 이안지구 대수층의 투수량계수 추정)

  • 조웅현;박영기;김환홍
    • Journal of the Korean Society of Groundwater Environment
    • /
    • v.1 no.2
    • /
    • pp.113-120
    • /
    • 1994
  • One of the delicate problems in aquifer management is the identification of the spatial distribution of tile hydrological parameters. The observed data are insufficient to identify the distribution of transmissivities in LAN aquifer. To determine the distribution of the transmissivity in LAN aquifer, it would be required to transform the observed heads at the pilot points into transmissivities. Therefore, three procedures wire tackled for the identification of the spatial distribution of the hydrological parameters; geostatistical estimate of the parameter field on the basis of known well point, heads reconstructed by a numerical model, and modification of the values at pilot points by a minimization algorithm. The variogram of Kriging has been applied to a total of 258 transmissivity value in attempt to quantify their distribution of LAN aquifer. Variogram of the observed and optimized transmissivities at pilot points are adapted to the exponential form. So, it is fitted by theoretical one with coefficients of w=0.623, a=2.743. Values of head obtained through numerical analysis are adjusted to the observed values so that heads have been transformed completely into the transmissivities at the observation wells. The procedure represented contour map of the estimated transmissivities and the calculated head.

  • PDF

Investigation of Indicator Kriging for Evaluating Proper Rock Mass Classification based on Electrical Resistivity and RMR Correlation Analysis (RMR과 전기비저항의 상관성 해석에 기초하여 지시크리깅을 적용한 최적 암반 분류 기법 고찰)

  • Lee, Kyung-Ju;Ha, Hee-Sang;Ko, Kwang-Buem;Kim, Ji-Soo
    • Tunnel and Underground Space
    • /
    • v.19 no.5
    • /
    • pp.407-420
    • /
    • 2009
  • In this study geostatistical technique using indicator kriging was performed to evaluate the optimal rock mass classification by integrating the various geophysical information such as borehole data and geophysical data. To get the optimal kriging result, it is necessary to devise the suitable technique to integrate the hard (borehole) and soft (geophysical) data effectively. Also, the model parameters of the variogram must be determined as a priori procedure. Iterative non-linear inversion method was implemented to determine the model parameters of theoretical variogram. To verify the algorithm, behaviour of object function and precision of convergence were investigated, revealing that gradient of the range is extremely small. This algorithm for the field data was applied to a mountainous area planned for a large-scale tunneling construction. As for a soft data, resistivity information from AMT survey is incorporated with RMR information from borehole data, a sort of hard data. Finally, RMR profiles were constructed and attempted to be interpreted at the tunnel elevation and the upper 1D level.

Structural Optimization for LMTT-Mover Using Sequential Kriging Based Approximation Model (순차적 크리깅 근사모델을 이용한 LMTT 이송체의 구조최적설계)

  • Park Hyung Wook;Han Dong Seop;Lee Kwon Hee;Han Geun Jo
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
    • /
    • 2005.10a
    • /
    • pp.289-295
    • /
    • 2005
  • LMTT (Linear Motor-based Transfer Techn-ology) is a horizontal transfer system for the yard automation This system is based on PMLSM (Permanent Magnetic Linear Synchronous Motor) toot consists of stator modules on the rail and shuttle car. In this research, the kriging interpolation method with sequential sampling find the optimum design of mover in LMTT. The design variables are considered as the transverse, longitudinal and wheel beam's thicknesses. The objective function is set up as weight, while the constant function are set up as the stresses generated by four loading conditions. The objective function is set up as weight. The optimum results obtained by the suggested method are compared with those by the GENESIS.

  • PDF

Downscaling of Thematic Maps Based on Remote Sensing Data using Multi-scale Geostatistics (다중 스케일 지구통계학을 이용한 원격탐사 자료 기반 주제도의 다운스케일링)

  • Park, No-Wook
    • Korean Journal of Remote Sensing
    • /
    • v.26 no.1
    • /
    • pp.29-38
    • /
    • 2010
  • It is necessary to develop an integration model which can account for various data acquired at different measurement scales in environmental thematic mapping with high-resolution ground survey data and relatively low-resolution remote sensing data. This paper presents and applies a multi-scale geostatistical methodology for downscaling of thematic maps generated from lowresolution remote sensing data. This methodology extends a traditional ordinary kriging system to a block kriging system which can account for both ground data and remote sensing data which can be regarded as point and block data, respectively. In addition, stochastic simulation based on block kriging is also applied to describe spatial uncertainty attached to the downscaling. Two downscaling experiments including SRTM DEM and MODIS Leaf Area Index (LAI) products were carried out to illustrate the applicability of the geostatistical methodology. Through the experiments, multi-scale geostatistics based on block kriging successfully generated relatively high-resolution thematic maps with reliable accuracy. Especially, it is expected that multiple realizations generated from simulation would be effectively used as input data for investigating the effects of uncertain input data on GIS model outputs.