• 제목/요약/키워드: metamodel

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메타모델을 이용한 저류함수법의 매개변수추정 (Parameter Estimation of Storage Function Method using Metamodel)

  • 정건희;오진아;김태균
    • 한국방재학회 논문집
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    • 제10권6호
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    • pp.81-87
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    • 2010
  • 유역에서의 정확한 유출을 계산하기 위해서는 강우-유출현상의 비선형성을 고려해야한다. 그러나 대부분의 강우-유출모형이 선형성을 가정하고 있거나 해석하기가 복잡하여, 비선형성을 고려하면서도 비교적 간단히 계산이 가능한 저류함수법을 유출계산에 이용해오고 있다. 저류함수법은 강수특성과 유역특성에 따라 달라지는 5개의 매개변수를 포함하고 있으며, 주로 유역별로 개발된 회귀식이나 유전자 알고리즘 등 최적화 기법을 이용하여 추정하나, 그 정확한 산정이 어렵다. 그러므로 본 연구에서는 인공 신경망과 유전자 알고리즘을 이용한 Metamodel을 이용하여 매개변수 최적화를 시도하였다. 제안된 기법은 두 단계로 나누어지는데, 첫 번째 단계에서는 기존의 강우-유출관계를 인공신경망에 입력하여 일대일대응 관계를 규명한 후, 두 번째 단계에서는 훈련된 인공신경망과 유전자 알고리즘을 이용하여 강우사상에 대한 저류함수법의 매개변수를 최적화한다. 제안된 모형은 평창강 유역 21개 강우사상에 적용되어 그 적용성을 입증하였다.

이산 월시 변환이 메타모델을 사용한 유전 알고리즘에 미치는 영향 (Effect of Discrete Walsh Transform in Metamodel-assisted Genetic Algorithms)

  • 유동필;김용혁
    • 한국융합학회논문지
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    • 제10권12호
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    • pp.29-34
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    • 2019
  • 유전 알고리즘에서 해의 적합도를 계산하는 시간이 오래 걸린다면 메타모델을 만드는 것은 필수적이다. 이에 메타모델의 성능을 높여 유전 알고리즘이 더 좋을 해를 찾게 하기 위한 연구가 진행되어 왔다. 본 연구에서 우리는 이산적인 도메인에서 이산 월시 변환을 사용해 메타모텔의 성능을 높이고자 하였다. 이산 월시 변환을 통해 해의 기저를 변환했고 변환된 해를 사용해 메타모델을 만들었다. 의사-불리언 함수의 대표적인 함수인 NK 모형을 대상으로 실험했고 제안된 모델의 성능에 대한 실증적인 증거를 제공했다. 제안된 모델을 사용해 유전 알고리즘을 수행했을 때, 유전알고리즘이 더 좋은 해를 찾음을 확인했다. 특히, 선행 연구인 유사도 함수를 이산적인 도메인에 적합하게 수정한 방사기저 함수 네트워크보다 좋은 성능을 보였다.

적응거리 조건을 이용한 순차적 실험계획의 민감도법 (Sensitivity Approach of Sequential Sampling Using Adaptive Distance Criterion)

  • 정재준;이태희
    • 대한기계학회논문집A
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    • 제29권9호
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    • pp.1217-1224
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    • 2005
  • To improve the accuracy of a metamodel, additional sample points can be selected by using a specified criterion, which is often called sequential sampling approach. Sequential sampling approach requires small computational cost compared to one-stage optimal sampling. It is also capable of monitoring the process of metamodeling by means of identifying an important design region for approximation and further refining the fidelity in the region. However, the existing critertia such as mean squared error, entropy and maximin distance essentially depend on the distance between previous selected sample points. Therefore, although sufficient sample points are selected, these sequential sampling strategies cannot guarantee the accuracy of metamodel in the nearby optimum points. This is because criteria of the existing sequential sampling approaches are inefficient to approximate extremum and inflection points of original model. In this research, new sequential sampling approach using the sensitivity of metamodel is proposed to reflect the response. Various functions that can represent a variety of features of engineering problems are used to validate the sensitivity approach. In addition to both root mean squared error and maximum error, the error of metamodel at optimum points is tested to access the superiority of the proposed approach. That is, optimum solutions to minimization of metamodel obtained from the proposed approach are compared with those of true functions. For comparison, both mean squared error approach and maximin distance approach are also examined.

메타모델 기반 다단계 해석을 이용한 순차적 최적설계 알고리듬 (A Sequential Optimization Algorithm Using Metamodel-Based Multilevel Analysis)

  • 백석흠;김강민;조석수;장득열;주원식
    • 대한기계학회논문집A
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    • 제33권9호
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    • pp.892-902
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    • 2009
  • An efficient sequential optimization approach for metamodel was presented by Choi et al. This paper describes a new approach of the multilevel optimization method studied in Refs. [2] and [20,21]. The basic idea is concerned with multilevel iterative methods which combine a descent scheme with a hierarchy of auxiliary problems in lower dimensional subspaces. After fitting a metamodel based on an initial space filling design, this model is sequentially refined by the expected improvement criterion. The advantages of the method are that it does not require optimum sensitivities, nonlinear equality constraints are not needed, and the method is relatively easy to understand and use. As a check on effectiveness, the proposed method is applied to an engineering example.

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

  • 이태희;성준엽;정재준
    • 대한기계학회논문집A
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    • 제30권6호
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    • pp.691-697
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    • 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.

RELIABILITY ESTIMATION AND RBDO USING KRIGING METAMODEL AND GENETIC ALGORITHM

  • 조태민;이병채
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.1016-1021
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    • 2008
  • In this study, effective methods for reliability estimation and reliability-based design optimization(RBDO) are proposed using kriging metamodel and genetic algorithm. In our previous study, we proposed the accurate method for reliability estimation using two-staged kriging metamodel and genetic algorithm. In this study, the possibility of applying the previously proposed method to RBDO is examined. The accuracy of that method is much improved than the first order reliability method with similar efficiency. Finally, the effective method for RBDO is proposed and applied to numerical examples. The results are compared to the existing RBDO methods and shown to be very effective and accurate.

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메타모델 기반 다단계 최적설계에 대한 순차적 알고리듬 (A Sequential Algorithm for Metamodel-Based Multilevel Optimization)

  • 김강민;백석흠;홍순혁;조석수;주원식
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.1198-1203
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    • 2008
  • An efficient sequential optimization approach for metamodel was presented by Choi et al [6]. This paper describes a new approach of the multilevel optimization method studied in Refs. [5] and [21-25]. The basic idea is concerned with multilevel iterative methods which combine a descent scheme with a hierarchy of auxiliary problems in lower dimensional subspaces. After fitting a metamodel based on an initial space filling design, this model is sequentially refined by the expected improvement criterion. The advantages of the method are that it does not require optimum sensitivities, nonlinear equality constraints are not needed, and the method is relatively easy to understand and use. As a check on effectiveness, the proposed method is applied to a classical cantilever beam.

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항공기 예비엔진 및 모듈 재고수준이 운용가용도에 미치는 영향 (The Impact of Aircraft Spare Engine & Module's Inventory Level on Operational Availability)

  • 이상진;배주근;김민규
    • 품질경영학회지
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    • 제38권3호
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    • pp.333-339
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    • 2010
  • It is difficult to determine an optimal inventory level of aircraft engine and modules to achieve the target operational availability since F100-PW-200 & 229 engines of the F-16 & KF-16 aircraft are consisted of 5 modules with different failure rates and costs. This study presents a decision model, combining an integer programming problem and a regression metamodel. Data for the metamodel was attained from results of a simulation model, that represents operational and repair process of F-16 and KF-16. The objective function of an integer programming problem is maximizing the operational availability, representing pessimistic circumstances. Finally, an integer programming problem with a metamodel can make an optimal decision of the inventory level.

Multicriteria shape design of an aerosol can

  • Aalae, Benki;Abderrahmane, Habbal;Gael, Mathis;Olivier, Beigneux
    • Journal of Computational Design and Engineering
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    • 제2권3호
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    • pp.165-175
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    • 2015
  • One of the current challenges in the domain of the multicriteria shape optimization is to reduce the calculation time required by conventional methods. The high computational cost is due to the high number of simulation or function calls required by these methods. Recently, several studies have been led to overcome this problem by integrating a metamodel in the overall optimization loop. In this paper, we perform a coupling between the Normal Boundary Intersection - NBI - algorithm with Radial Basis Function - RBF - metamodel in order to have a simple tool with a reasonable calculation time to solve multicriteria optimization problems. First, we apply our approach to academic test cases. Then, we validate our method against an industrial case, namely, shape optimization of the bottom of an aerosol can undergoing nonlinear elasto-plastic deformation. Then, in order to select solutions among the Pareto efficient ones, we use the same surrogate approach to implement a method to compute Nash and Kalai-Smorodinsky equilibria.

Feasibility study of improved particle swarm optimization in kriging metamodel based structural model updating

  • Qin, Shiqiang;Hu, Jia;Zhou, Yun-Lai;Zhang, Yazhou;Kang, Juntao
    • Structural Engineering and Mechanics
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    • 제70권5호
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    • pp.513-524
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    • 2019
  • This study proposed an improved particle swarm optimization (IPSO) method ensemble with kriging model for model updating. By introducing genetic algorithm (GA) and grouping strategy together with elite selection into standard particle optimization (PSO), the IPSO is obtained. Kriging metamodel serves for predicting the structural responses to avoid complex computation via finite element model. The combination of IPSO and kriging model shall provide more accurate searching results and obtain global optimal solution for model updating compared with the PSO, Simulate Annealing PSO (SimuAPSO), BreedPSO and PSOGA. A plane truss structure and ASCE Benchmark frame structure are adopted to verify the proposed approach. The results indicated that the hybrid of kriging model and IPSO could serve for model updating effectively and efficiently. The updating results further illustrated that IPSO can provide superior convergent solutions compared with PSO, SimuAPSO, BreedPSO and PSOGA.