• 제목/요약/키워드: improved weighted average method

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A WEIGHTED EULER METHOD FOR SOLVING STIFF INITIAL VALUE PROBLEMS

  • BEONG IN, YUN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제26권4호
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    • pp.353-361
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    • 2022
  • For an initial value problem, using a weighted average between two adjacent approximates, we propose a simple one-step method based on the Euler method. This method is useful for solving stiff initial value problem, even when the step size is not very small. Moreover, it can be seen that the proposed method with some selected weights results in improved approximation errors.

Improved definition of dynamic load allowance factor for highway bridges

  • Zhou, Yongjun;Ma, Zhongguo John;Zhao, Yu;Shi, Xiongwei;He, Shuanhai
    • Structural Engineering and Mechanics
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    • 제54권3호
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    • pp.561-577
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    • 2015
  • The main objective of this paper is to study the dynamic load allowance (DLA) calculation methods for bridges according to the dynamic response curve. A simply-supported concrete bridge with a smooth road surface was taken as an example. A half-vehicle model was employed to calculate the dynamic response of deflection and bending moment in the mid-span section under different vehicle speeds using the vehicle-bridge coupling method. Firstly, DLAs from the conventional methods and code provisions were analyzed and critically evaluated. Then, two improved computing approaches for DLA were proposed. In the first approach, the maximum dynamic response and its corresponding static response or its corresponding minimum response were selected to calculate DLA. The second approach utilized weighted average method to take account of multi-local DLAs. Finally, the DLAs from two approaches were compared with those from other methods. The results show that DLAs obtained from the proposed approaches are greater than those from the conventional methods, which indicate that the current conventional methods underestimate the dynamic response of the structure. The authors recommend that the weighted average method based on experiments be used to compute DLAs because it can reflect the vehicle's whole impact on the bridge.

Prediction of the long-term deformation of high rockfill geostructures using a hybrid back-analysis method

  • Ming Xu;Dehai Jin
    • Geomechanics and Engineering
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    • 제36권1호
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    • pp.83-97
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    • 2024
  • It is important to make reasonable prediction about the long-term deformation of high rockfill geostructures. However, the deformation is usually underestimated using the rockfill parameters obtained from laboratory tests due to different size effects, which make it necessary to identify parameters from in-situ monitoring data. This paper proposes a novel hybrid back-analysis method with a modified objective function defined for the time-dependent back-analysis problem. The method consists of two stages. In the first stage, an improved weighted average method is proposed to quickly narrow the search region; while in the second stage, an adaptive response surface method is proposed to iteratively search for the satisfactory solution, with a technique that can adaptively consider the translation, contraction or expansion of the exploration region. The accuracy and computational efficiency of the proposed hybrid back-analysis method is demonstrated by back-analyzing the long-term deformation of two high embankments constructed for airport runways, with the rockfills being modeled by a rheological model considering the influence of stress states on the creep behavior.

가중평균 대리모델을 사용한 딤플 유로의 최적설계 (Design Optimization of a Channel Roughened by Dimples Using Weighted Average Surrogate Model)

  • 이기돈;김광용
    • 한국유체기계학회 논문집
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    • 제11권1호
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    • pp.52-60
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    • 2008
  • Staggered dimples printed on opposite walls of an internal cooling channel are formulated numerically and optimized to enhance heat transfer performance. Nusselt number and friction factor based objectives are considered and a weighted average surrogate model is used to approximate the data generated by numerical simulation. The dimpled channel shape is defined by three geometric design variables, and the design point within design space are selected using Latin hypercube sampling. A weighted-sum method for multi-objective optimization is applied to integrate multiple objectives into a single objective. By the optimization, the objective function value is improved largely and heat transfer rate is increase much higher than pressure loss increase due to shape deformation. Channel with vertically non-symmetric optimum dimples is tested and found that the best appears if dimples on opposite wall are displaced by one quarter of dimple spacing.

가중평균에 의한 역계산 어류 성장식추정법 개선 연구 (The study on the improvement of estimating back-calculated fish growth equation by weighted average method)

  • 양우성;이재봉;허요원;권대현;최석관;정상덕;안두해
    • 수산해양기술연구
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    • 제53권4호
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    • pp.471-475
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    • 2017
  • This study aims to suggest the methodology to improve to estimate back-calculated fish growth parameters using weighted average. It is to contribute to correct errors in the calculation of back-calculated growth equation with unequal numbers of sample by age. If the numbers of sample were evenly collected by age, each back-calculated length at age was equal between arithmetic and weighted averages. However, most samples cannot be evenly collected by age in reality because of different catchability by fishing gear and limitation of environment condition. Therefore, the estimation of back-calculated length by weighted average method is essential to calculate growth parameters. There were some published growth equations from back-calculated length using a simple arithmetic average with different numbers of samples by age when searching for back-calculated growth equations from 91 relevant papers. In this study, the process of deriving growth equation was investigated and two different average calculations were applied to a fish growth equation, for example of Acheilognathus signifer. Growth parameters, such as $L_{\infty}$, k and $t_0$, were estimated from two different back-calculated averages and the growth equations were compared with growth performance index. Based on the correction of back-calculated length using weighted average by age, the changes by female and male were -14.19% and -5.23% for $L_{\infty}$, and 59.28% and 18.91% for k, respectively. The corrected growth performance index by weighted average improved at 7.05% and 2.46% by female and male, respectively, compared to the arithmetic averages.

SWAT 모형의 유출해석모듈 개선이 수질모의에 미치는 영향 (Effect of Improved Runoff Module in SWAT on Water Quality Simulation)

  • 김남원;신아현;이정우
    • 한국수자원학회논문집
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    • 제42권4호
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    • pp.297-307
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    • 2009
  • 신뢰도 높은 수질 모의를 위해서는 유역 내 정확한 유출 모의가 반드시 선행되어야 한다. 본 연구에서는 연속방정식과 운동파 근사에 의한 Manning의 식이 결합된 비선형 저류방정식에 근거한 하도추적법과 금일 강수량을 고려하여 시간적으로 가중 평균된 유출곡선지수를 산정하도록 개선된 지표유출계산 모듈이 수질 모의에 미치는 영향을 분석하였다. 이를 대표적 준분포형 모형인 SWAT에 탑재하여 충주댐 유역에 적용하여 각 개선모듈별 독립적인 분석과 전체 개선의 효과를 개선 전 후로 분석하였다. 각 개선 모듈별 수질 모의의 기여도를 분석한 결과 지표유출계산 모듈의 개선보다는 하도추적의 개선이 더 많은 영향을 미치는 것으로 분석되었다. 이는 비점오염원의 특성 상 하도추적의 개선으로 인한 유출 지체 현상의 개선이 부하량의 배출에 가장 큰 요인으로 작용하였기 때문이라고 판단된다.

Evaluation Method of College English Education Effect Based on Improved Decision Tree Algorithm

  • Dou, Fang
    • Journal of Information Processing Systems
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    • 제18권4호
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    • pp.500-509
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    • 2022
  • With the rapid development of educational informatization, teaching methods become diversified characteristics, but a large number of information data restrict the evaluation on teaching subject and object in terms of the effect of English education. Therefore, this study adopts the concept of incremental learning and eigenvalue interval algorithm to improve the weighted decision tree, and builds an English education effect evaluation model based on association rules. According to the results, the average accuracy of information classification of the improved decision tree algorithm is 96.18%, the classification error rate can be as low as 0.02%, and the anti-fitting performance is good. The classification error rate between the improved decision tree algorithm and the original decision tree does not exceed 1%. The proposed educational evaluation method can effectively provide early warning of academic situation analysis, and improve the teachers' professional skills in an accelerated manner and perfect the education system.

국부 평균과 공간 변화량을 이용한 개선된 에지 강조 오차확산법 (Improved Edge Enhanced Error Diffusion Halftoning Using Local Mean and Spatial Variation)

  • 곽내정
    • 한국콘텐츠학회논문지
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    • 제5권2호
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    • pp.221-228
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    • 2005
  • 본 논문은 인간의 공간 지각 특성을 이용하여 에지를 강조하는 개선된 오차 확산 해프토닝 시스템을 제안한다. 제안방법은 원 화소의 명암값과 $3{\times}3$ 블록의 평균 명암값과의 차이 값에 공간적 위치 값에 따른 가중치를 결합하여 공간 변화량(SV: spatial variation)을 구한다. SV와 국부 평균을 이용하여 계산한 에지 강조 정보량(IEE: information of edge enchancement)을 양자화기 입력에 더하여 해프톤 영상의 에지를 강조한다. 제안방법의 성능은 에지 상관도 평가 함수로 평가했으며 제안방법을 영상에 적용한 결과 이진 영상의 에지가 강조되어 시각적으로 선명한 결과를 보이며 미세한 에지도 잘 보존되었다.

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A Study on UBM Method Detecting Mean Shift in Autocorrelated Process Control

  • Jun, Sang-Pyo
    • 한국컴퓨터정보학회논문지
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    • 제25권12호
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    • pp.187-194
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    • 2020
  • 오늘날 반도체나 석유 화학 공정과 같이 프로세스 중심의 산업에서는 관측된 자료들 사이에 자기 상관이 존재한다. 자기상관이 존재하는 공정에 대한 관리 방법으로는 관측치를 이용하여 뱃치 평균이 독립에 가까워지도록 뱃치를 구성하여 관리하거나, 관측치의 EWMA (지수 가중치 이동 평균) 통계량을 EWMA 관리도에 적용하는 방법등이 주로 사용되고 있다. 본 논문에서는 관찰치에 대한 관리 방법으로 일반적으로 사용되는 UBM 의 뱃치 크기를 결정하는 방법을 소개하고, ARL(평균 실행 길이)을 기반으로 최적 뱃치 크기를 정하는 방법과 그러한 뱃치 구성에서 공정의 표준 편차를 추정하는 방법을 제안 한다. 자기상관이 존재하는 공정에 대한 개선된 관리도를 제안하고자 한다.

단파효과를 고려한 단기전력 부하예측 (Short-term Electric Load Prediction Considering Temperature Effect)

  • 박영문;박준호
    • 대한전기학회논문지
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    • 제35권5호
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    • pp.193-198
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    • 1986
  • In this paper, 1-168 hours ahead load prediction algorithm is developed for power system economic weekly operation. Total load is composed of three components, which are base load, week load and weather-sensitive load. Base load and week load are predicted by moving average and exponential smoothing method, respectively. The days of moving average and smoothing constant are optimally determined. Weather-sensitive load is modeled by linear form. The paramiters of weather load model are estimated by exponentially weighted recursive least square method. The load prediction of special day is very tedious, difficult and remains many problems which should be improved. Test results are given for the day of different types using the actual load data of KEPCO.

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