• 제목/요약/키워드: Multi-Level Optimization

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다층분석법을 이용한 대규모 파라미터 설계 최적화 (Multi-Level Response Surface Approximation for Large-Scale Robust Design Optimization Problems)

  • 김영진
    • 경영과학
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    • 제24권2호
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    • pp.73-80
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    • 2007
  • Robust Design(RD) is a cost-effective methodology to determine the optimal settings of control factors that make a product performance insensitive to the influence of noise factors. To better facilitate the robust design optimization, a dual response surface approach, which models both the process mean and standard deviation as separate response surfaces, has been successfully accepted by researchers and practitioners. However, the construction of response surface approximations has been limited to problems with only a few variables, mainly due to an excessive number of experimental runs necessary to fit sufficiently accurate models. In this regard, an innovative response surface approach has been proposed to investigate robust design optimization problems with larger number of variables. Response surfaces for process mean and standard deviation are partitioned and estimated based on the multi-level approximation method, which may reduce the number of experimental runs necessary for fitting response surface models to a great extent. The applicability and usefulness of proposed approach have been demonstrated through an illustrative example.

지진하중을 받는 강뼈대구조물의 표준단면에 대한 다목적 최적설계 (Multi-Objective Optimization of Steel Frames For Standardized Steel Profiles Under Seismic Loads)

  • 조효남;민대홍;정봉교
    • 한국강구조학회 논문집
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    • 제14권6호
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    • pp.783-791
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    • 2002
  • 본 논문에서는 지진하중을 받는 강뼈대구조물의 표준단면에 대한 다목적 최적설계 정식화 방법을 제안하였다. 다목적 최적화 문제는 강재중량, 변형에너지, 안전성을 목적함수로 구성하였다. 표준단면제원을 이용한 다목적 최적설계 문제를 효율적으로 해결하기 위하여 전역기준법(Global Criterion Method)을 이용하였다. 실제적인 대형구조물의 다목적 최적설계 문제를 효율적으로 해결하기 위해 전체 구조계와 구조 요소계로 나누는 다단계 알고리즘을 적용하였고 자동미분을 이용하여 매개변수에 대한 민감도해석을 이용한 근사재해석 기법을 사용하였다. 또한 전체 구조계와 구조 요소계의 연결을 위해 표준단면을 이용하여 단면 2차 모멘트와 단면적, 단면상수와의 관계를 희귀분석 하였다. 수치해석 결과 안정성을 고려한 강 뼈대 구조물의 최적설계 방법은 기존의 방법보다 합리적인 설계를 유도할 것으로 기대된다.

다단계 다목적함수 최적화를 이용한 구조물의 최적설계 (Multilevel Multiobjective Optimization for Structures)

  • 한상훈;최홍식
    • 전산구조공학
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    • 제7권1호
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    • pp.117-124
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    • 1994
  • 본 논문에서는 다단계다목적함수 최적화(MLMO)를 통해 철근콘크리트 뼈대구조의 최적해를 일단계단일 목적함수 최적화(SLSO)에 의한 결과와 비교하였다. MLMO방법에 의해서 간단히 가중치(Weighting factor)를 도모함으로써 경비와 처짐의 두가지 목적함수를 만족시키는 것이 가능했으며, 단계별로 제약조건식의 수를 감소시키고, 문제형성의 비선형성을 감소시킴으로써 최적화의 과정을 효율적으로 수행할 수 있었다. 또한 각 부구조물간의 설계변수의 변화에 의한 부재력의 변화를 제약조건에 반영하기 위하여 부재력변화량 추정을 하였고 부구조물의 최적화시 부재감 결합(coupling)이 가능하도록 하였다. 부구조물의 최적화시 선형화된 구조시스템의 선형화된 목적함수와 제약조건식을 사용하여 재해석 과정을 효율적으로 감소시킬 수 있었다. 최적화 과정중 초기에는 설계변수에 대한 비교적 큰 이동한계의 사용이 가능하였으며 반복회수 4호 정도에 최적해로의 효율적인 수렴이 이루어졌다.

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Harmonic Optimization Techniques in Multi-Level Voltage-Source Inverter with Unequal DC Sources

  • Aghdam, M. Ghasem Hosseini;Fathi, S. Hamid;Gharehpetian, Gevorg B.
    • Journal of Power Electronics
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    • 제8권2호
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    • pp.171-180
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    • 2008
  • One of the major problems in electric power quality is the harmonic contents. There are several methods of indicating the quantity of harmonic contents. The most widely used measure is the total harmonic distortion (THD). Various switching techniques have been used in static converters to reduce the output harmonic content. This paper presents and compares the two harmonic optimization techniques, known as optimal minimization of the total harmonic distortion (OMTHD) technique and optimized harmonic stepped-waveform (OHSW) technique used in multi-level inverters with unequal dc sources. Both techniques are very effective and efficient for improving the quality of the inverter output voltage. First, we describe briefly the cascaded H-bridge multi-level inverter structure. Then, we present the switching algorithm for the inverter based on OHSW and OMTHD techniques. Finally, the results obtained for the two techniques are analyzed and compared. The results verify the effectiveness of the both techniques in multi-level voltage-source inverter with non-equal dc sources, clarifying the advantages of each technique.

강바닥판교의 다단계 최적설계 (Multi-level Optimization for Orthotropic Steel Deck Bridges)

  • Cho, Hyo-Nam;Chung, Jee-Sung;Min, Daee-Hong;Lee, Kwang-Min
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
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    • pp.439-448
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    • 2000
  • A multi-level design synthesis (MLDA) algorithm for efficiently optimizing orthotropic steel deck bridges is proposed in the paper, because it is usually very difficult to optimize orthotropic steel deck bridges using a conventional single-level (CSL) algorithn since the bridges have a large number of members and show complex structural behaviors. In the proposed MLDS algorithms a coordination method is introduced to divide the bridges into main girders and orthotropic steel decks and decomposition method is also used to reduce the number of design variables of the decks for system level optimization. For efficient optimization of the bridges the MLDS algorithm incorporates the crucial approximation techliques such as constraints deletion and stress reanalysis. The constraint deletion technique for deflection is found to be very useful for the optimization problem of the bridges, since a deflection constraint is usually inactive in the design. Considering the complex system of the bridges, the proposed the efficient stress reanalysis technique may prove to be a very effective method, since it does not require expensive design sensitivity analyses. The applicability and robustness of the MLDS algorithm is demonstrated using various numerical examples and compared with other algorithm presently available so far.

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다자게임 전력시장에서 송전선 혼잡시의 복합전략 내쉬균형 계산 (Solving Mixed Strategy Equilibria of Multi-Player Games with a Transmission Congestion)

  • 이광호
    • 대한전기학회논문지:전력기술부문A
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    • 제55권11호
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    • pp.492-497
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    • 2006
  • Nash Equilibrium (NE) is essential to investigate a participant's bidding strategy in a competitive electricity market. The transmission line constraints make it difficult to compute the NE due to causing a mixed strategy NE instead of a pure strategy NE. Computing a mixed strategy is more complicated in a multi-player game. The competition among multi-participants is modeled by a two-level hierarchical optimization problem. A mathematical programming approach is widely used in finding this equilibrium. However, there are difficulties to solving a mixed strategy NE. This paper presents two propositions to add heuristics to the mathematical programming method. The propositions are based on empirical studies on mixed strategies in numerous sample systems. Based on the propositions a new formulation is provided with a set of linear and nonlinear equations, and an algorithm is suggested for using the prepositions and the newly-formulated equations.

2차계획법을 이용(利用)한 비축면적(備蓄面積)의 제한(制限)을 받는 다품종주문량결정(多品種注文量決定) 시스템에 관(關)한 연구(硏究) (A Study of the Multi - Item Order - Level System with Storage Limitation by the Quadratic Programming)

  • 강동진;이상용
    • 대한산업공학회지
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    • 제11권1호
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    • pp.11-19
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    • 1985
  • This paper analyzes the multi-item order-level system with shortages allowance and storage limitation. Up to now, we have used the classical optimization theory to analyze this system. But the theory is generally not suitable for computational purposes. Therefore, this paper designes a new method to be able to apply the quadratic programming to the multi-item order-level system with storage limitation. A numerical example is also presented.

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다단계 최적화 수법을 이용한 열원 설비 설계법에 관한 연구 (A Study on the Multi-level Optimization Method for Heat Source System Design)

  • 유민경;남유진
    • 설비공학논문집
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    • 제28권7호
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    • pp.299-304
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    • 2016
  • In recent years, heat source systems which have a principal effect on the performance of buildings are difficult to design optimally as a great number of design factors and constraints in large and complicated buildings need to be considered. On the other hand, it is necessary to design an optimum system combination and operation planning for energy efficiency considering Life Cycle Cost (LCC). This study suggests a multi-level and multi-objective optimization method to minimize both LCC and investment cost using a genetic algorithm targeting an office building which requires a large cooling load. The optimum method uses a two stage process to derive the system combination and the operation schedule by utilizing the input data of cooling and heating load profile and system performance characteristics calculated by dynamic energy simulation. The results were assessed by Pareto analysis and a number of Pareto optimal solutions were determined. Moreover, it was confirmed that the derived operation schedule was useful for operating the heat source systems efficiently against the building energy requirements. Consequently, the proposed optimization method is determined by a valid way if the design process is difficult to optimize.

입자크기분포 설정 및 멀티스레딩을 통한 소외사고영향분석 최적화 타당성 평가 (Feasibility Study on the Optimization of Offsite Consequence Analysis by Particle Size Distribution Setting and Multi-Threading)

  • 김승환;김성엽
    • 한국안전학회지
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    • 제39권1호
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    • pp.96-103
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    • 2024
  • The demand for mass calculation of offsite consequence analysis to conduct exhaustive single-unit or multi-unit Level 3 PSA is increasing. In order to perform efficient offsite consequence analyses, the Korea Atomic Energy Research Institute is conducting model optimization studies to minimize the analysis time while maintaining the accuracy of the results. A previous study developed a model optimization method using efficient plume segmentation and verified its effectiveness. In this study, we investigated the possibility of optimizing the model through particle size distribution setting by checking the reduction in analysis time and deviation of the results. Our findings indicate that particle size distribution setting affects the results, but its effect on analysis time is insignificant. Therefore, it is advantageous to set the particle size distribution as fine as possible. Furthermore, we evaluated the effect of multithreading and confirmed its efficiency. Future optimization studies should be conducted on various input factors of offsite consequence analysis, such as spatial grid settings.

강상판교의 다목적 최적설계 (Multi-Objective Optimization for Orthotrpic Steel Deck Bridges)

  • 조효남;정지승;민대홍
    • 한국강구조학회 논문집
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    • 제14권3호
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    • pp.395-402
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    • 2002
  • 본 연구는 강상판교량의 합리적인 설계를 위한 다목적 최적설계 방법을 제안하였다. 다목적 최적설계 방법은 기존의 제작비용만을 목적함수로 사용하는 최적설계와는 달리 제작비용과 처짐을 동시에 고려함으로써 보다 합리적인 설계를 유도하고자 하였다. 강상판교량은 많은 부재를 가지고 있고 구조거동이 복잡한 이유로 기존의 최적설계 알고리즘을 이용하면 매우 비효율적이다. 따라서, 매우 효율적인 다단계 최적설계를 이용하였다. 강상판교량의 합리적이고 경제적인 설계를 위해 최적의 제작비용과 처짐과의 관계를 파레토 곡선으로 표현하고 이를 이용하여 합리적인 설계 수준을 정하는 척도로 사용하였다. 이러한 방법은 기존의 단일목적 최적설계에 비해 매우 합리적인 설계결과를 얻을 수 있었다.