• Title/Summary/Keyword: multi-level-optimization

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

  • Kim, Young-Jin
    • Korean Management Science Review
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    • v.24 no.2
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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.

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

  • Cho, Hyo Nam;Min, Dae Hong;Jeong, Bong Gyo
    • Journal of Korean Society of Steel Construction
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    • v.14 no.6
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    • pp.783-791
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    • 2002
  • An improved formulation for multi-objective optimization was proposed. This formulation was applied to steel seismic loads. The multi-objective optimization problem was formulated with minimum structural weight, maximum strstability. The global criterion method was employed to find a rational solution closest to the ideal solution for the optimization problem using standard steel profile, To efficiently solve the optimization problem, the decomposition meth both system-level and element-level was used. In addition, various techniques including efficient reanalysis technique intermediate variables and sensitivity analysis using an automatic differentiation(AD) were incorporated. Moreover the reamong section properties fitted to the section profile used in order to link the system level and the element level. From numerical investigation, it could be stated that the proposed method will lead to the more rational design compared with one.

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

  • 한상훈;최홍식
    • Computational Structural Engineering
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    • v.7 no.1
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    • pp.117-124
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    • 1994
  • Multi-level Multi-objective optimization(MLMO) for reinforced concrete framed structure is performed, and compared with the results of single-level single-objective optimization. MLMO method allows flexibility to meet the design needs such as deflection and cost of structures using weighting factors. Using Multi-level formulation, the numbers of constraints and variables are reduced at each levels, and the optimization formulation becomes simplified. The force approximation method is used to reflect the variation in design variables between the substructures, and thus coupling is maintained. And the linear approximated constraints and objective function are used to reduce the number of structural analysis in optimization process. It is shown that the developed algorithm with move limit can converge effectively to optimal solution.

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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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    • v.8 no.2
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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.

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

  • Cho, Hyo-Nam;Chung, Jee-Sung;Min, Daee-Hong;Lee, Kwang-Min
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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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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Solving Mixed Strategy Equilibria of Multi-Player Games with a Transmission Congestion (다자게임 전력시장에서 송전선 혼잡시의 복합전략 내쉬균형 계산)

  • Lee, Kwang-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.55 no.11
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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.

A Study of the Multi - Item Order - Level System with Storage Limitation by the Quadratic Programming (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))

  • Gang, Dong-Jin;Lee, Sang-Yong
    • Journal of Korean Institute of Industrial Engineers
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    • v.11 no.1
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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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A Study on the Multi-level Optimization Method for Heat Source System Design (다단계 최적화 수법을 이용한 열원 설비 설계법에 관한 연구)

  • Yu, Min-Gyung;Nam, Yujin
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.28 no.7
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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.

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

  • Seunghwan Kim;Sung-yeop Kim
    • Journal of the Korean Society of Safety
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    • v.39 no.1
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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.

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

  • Cho, Hyo Nam;Chung, Jee Seung;Min, Dae Hong
    • Journal of Korean Society of Steel Construction
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    • v.14 no.3
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    • pp.395-402
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    • 2002
  • This study proposed a muti-objective optimum design method for rational optimizing of orthotropic steel deck bridges. This multi-objective optimum design method was found to be effective in optimizing multi-objective problems, considering cost and deflection functions. It may ve difficult to optimize orthotropic steel deck bridges using a conventional optimization, since the bridges have several parts and show complex structural behaviors. Therefore, the Pareto curve can be obtained by performing the multi-objective optimization for real orthotropic steel deck bridges, using the multi-level technique with excellent efficiency. A reasonable and economical design can be attained using the Parato curve in the cost and deflection functions of the bridge. Thus, more reasonable design values can be determined based on a comparison with those using a conventional design procedure.