• Title/Summary/Keyword: 파레토 최적해

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Ranking the Pareto-optimal Solutions using DEA-based Ranking Procedure: an Application to Multi-reservoir Operation Problem (DEA기반 순위결정 절차를 이용한 파레토 최적해의 우선순위 결정: 저수지군 연계 운영문제를 중심으로)

  • Jeon, Seung-Mok;Kim, Jae-Hee;Kim, Sheung-Kown
    • IE interfaces
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    • v.21 no.1
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    • pp.75-84
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    • 2008
  • It is a difficult task for decision makers(DMs) to choose an appropriate release plan which balances the conflicts between water storage and hydro-electric energy generation in a multi-reservoir operation problem. In this study, we proposed a DEA-based ranking procedure by which the DM can rank the potential alternatives and select the best solution among the Pareto-optimal solutions. The proposed procedure can resolve the problem of mix inefficiency that may cause errors in measuring the efficiency of alternatives. We applied the proposed procedure to the multi-reservoir operation problem for the Geum-River basin and could choose the best efficient solution from the Pareto-set which were generated by the Coordinated Multi-Reservoir Operating Model.

Development of Pareto-Optimal Technique for Generation Planning According to Environmental Characteristics in term (환경특성을 반영한 급전계획의 파레토 최적화기법 개발)

  • Lee, Buhm;Kim, Yong-ha;Choi, Sang-kyu
    • Journal of Energy Engineering
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    • v.13 no.2
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    • pp.128-132
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    • 2004
  • This paper presents a new methodology to get pareto-optimal solution for generation planning. First, we apply dynamic programming, and we can get an optimal economic dispatch considering total quantity of contamination for the specified term. Second, we developed a method which can get pareto-optimal solution. This solution is consisted of a set of optimal generation planning. As a result, decision maker can get pareto-optimal solutions, and can choose a solution. We applied this method to the test system, and showed the usefulness.

Numerical Optimization of a Transonic Axial Compressor with Casing Grooves for Improvement of Operating Stability (케이싱 그루브가 장착된 천음속 축류압축기의 작동 안정성 향상을 위한 수치최적화)

  • Kim, Jin-Hyuk;Choi, Kwang-Jin;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.14 no.5
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    • pp.31-38
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    • 2011
  • Optimization using a hybrid multi-objective evolutionary algorithm coupled with response surface approximation has been performed to improve the performance of a transonic axial compressor with circumferential casing grooves. In order to optimize the operating stability and peak adiabatic efficiency of the compressor with circumferential casing grooves, tip clearance, angle distribution at blade tip and the depth of the circumferential casing grooves are selected as design variables. Three-dimensional Reynolds-averaged Navier-Stokes equations with the shear stress transport turbulence model are discretized by finite volume approximations. The trade-off between two objectives with the interaction of blade and casing treatment is determined and discussed with respect to the representative clusters in the Pareto-optimal solutions compared to the axial compressor without the casing treatment.

A pseudo-polynomial algorithm and approximation algorithm for the constrained minimum spanning tree problem (추가제약이 있는 최소 신장나무 문제에 대한 유사다항시간 알고리듬 및 근사 해법)

  • 홍성필;정성진;박범환
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2002.05a
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    • pp.23-30
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    • 2002
  • 본 연구는 추가제약이 있는 최소 신장나무 문제(Constrained Minimum Spanning Tree : CMST문제)에 대한 유사다항시간 알고리듬 및 근사 해법 개발에 관한 것이다. CMST문제는 NP-hard문제임이 이미 증명되었으며, 이후 이 문제에 대해서는 근사해법 개발이 주된 관심이 되어왔다 [Ravi and Goemans 96]는 다항시간 근사 해법(PTAS)을 이미 개발하였고, [Marathe et at 98]은 가능해(feasible solution)는 아니지만, 앞으로 서술할 $(1+1/\varepsilon,\;+\epsilon)$사해를 구하는 완전다항시간 근사해법 (FPTAS)을 제시하였다. 이와는 달리 [Papa. and Yan, 00]는 파레토 근사 최적해를 구하는 FPTAS를 제시하였는데, 본 연구는 이들의 연구에서 주로 의존하고 있는 행렬-나무 정리(Tree-Matrix Theorem)를 보다 일반화하여, CMST문제에 대한 유사다항시간 알고리듬과 $(1+\varepsilon,\;1+\epsilon)$근사해를 구하는 FPTAS를 제시할 것이다.

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Optimization of Multi-objective Function based on The Game Theory and Co-Evolutionary Algorithm (게임 이론과 공진화 알고리즘에 기반한 다목적 함수의 최적화)

  • Sim, Kwee-Bo;Kim, Ji-Yoon;Lee, Dong-Wook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.6
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    • pp.491-496
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    • 2002
  • Multi-objective Optimization Problems(MOPs) are occur more frequently than generally thought when we try to solve engineering problems. In the real world, the majority cases of optimization problems are the problems composed of several competitive objective functions. In this paper, we introduce the definition of MOPs and several approaches to solve these problems. In the introduction, established optimization algorithms based on the concept of Pareto optimal solution are introduced. And contrary these algorithms, we introduce theoretical backgrounds of Nash Genetic Algorithm(Nash GA) and Evolutionary Stable Strategy(ESS), which is the basis of Co-evolutionary algorithm proposed in this paper. In the next chapter, we introduce the definitions of MOPs and Pareto optimal solution. And the architecture of Nash GA and Co-evolutionary algorithm for solving MOPs are following. Finally from the experimental results we confirm that two algorithms based on Evolutionary Game Theory(EGT) which are Nash GA and Co-evolutionary algorithm can search optimal solutions of MOPs.

Design Optimization of Axial Flow Fan Using Genetic Algorithm (유전자 알고리즘을 이용한 축류 송풍기 설계최적화)

  • Lee, Sang-Hwan;Ahn, Cheol-O
    • The KSFM Journal of Fluid Machinery
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    • v.7 no.2 s.23
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    • pp.7-13
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    • 2004
  • In an attempt to solve multiobjective optimization problems, weighted sum method is most widely used for the advantage that a designer can consider the relative significance of each object functions by weight values but it can be highly sensitive to weight vector and occasionally yield a deviated optimum from the relative weighting values designer designated because the multiobjective function has the form of simple sum of the product of the weighting values and the object functions in traditional approach. To search the design solution agree well to the designer's weighting values, we proposed new multiobjective function which was the functional of each normalized objective functions and considered to find the design solution comparing the distance between the characteristic line and the ideal optimum. In this study, proposed multiobjective function was applied to design high efficiency and low noise axial flow fan and the result shows this approach is effective for the case that the quality of the design can be highly affected by the designer's subjectiveness represented as weighting values in multiobjective design optimization process.

Design Optimization of Axial Flow Fan Using Genetic Algorithm (유전자 알고리즘을 이용한 축류 송풍기 설계최적화)

  • Yoo, In-Tae;Ahn, Cheol-O;Lee, Sang-Hwan
    • 유체기계공업학회:학술대회논문집
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    • 2003.12a
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    • pp.397-403
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    • 2003
  • In an attempt to solve multiobjective optimization problems, weighted sum method is most widely used for the advantage that a designer can consider the relative significance of each object functions by weight values but it can be highly sensitive to weight vector and occasionally yield a deviated optimum from the relative weighting values designer designated because the multiobjective function has the form of simple sum of the product of the weighting values and the object functions in traditional approach. To search the design solution well agree to the designer's weighting values, we proposed new multiobjective function which is the functional of each normalized objective functions and considered to find the design solution comparing the distance between the characteristic line and the ideal optimum. In this study, proposed multiobjective function was applied to design high efficiency and low noise axial flow fan and the result shows this approach will be effective for the case that the qualify of the design can be highly affected by the designer's subjectiveness represented as weighting values in multiobjective design optimization process.

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Design Optimization for 3D Woven Materials Based on Regression Analysis (회귀 분석에 기반한 3차원 엮임 재료의 최적설계)

  • Byungmo, Kim;Kichan, Sim;Seung-Hyun, Ha
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.35 no.6
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    • pp.351-356
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    • 2022
  • In this paper, we present the regression analysis and design optimization for improving the permeability of 3D woven materials based on numerical analysis data. First, the parametric analysis model is generated with variables that define the gap sizes between each directional wire of the woven material. Then, material properties such as bulk modulus, thermal conductivity coefficient, and permeability are calculated using numerical analysis, and these material data are used in the polynomial-based regression analysis. The Pareto optimal solution is obtained between bulk modulus and permeability by using multi-objective optimization and shows their trade-off relation. In addition, gradient-based design optimization is applied to maximize the fluid permeability for 3D woven materials, and the optimal designs are obtained according to the various minimum bulk modulus constraints. Finally, the optimal solutions from regression equations are verified to demonstrate the accuracy of the proposed method.

Multiobjective optimization strategy based on kriging metamodel and its application to design of axial piston pumps (크리깅 메타모델에 기반한 다목적최적설계 전략과 액셜 피스톤 펌프 설계에의 응용)

  • Jeong, Jong Hyun;Baek, Seok Heum;Suh, Yong Kweon
    • Journal of Advanced Marine Engineering and Technology
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    • v.37 no.8
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    • pp.893-904
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    • 2013
  • In this paper, a Kriging metamodel-based multi-objective optimization strategy in conjunction with an NSGA-II(non-dominated sorted genetic algorithm-II) has been employed to optimize the valve-plate shape of the axial piston pump utilizing 3D CFD simulations. The optimization process for minimum pressure ripple and maximum pump efficiency is composed of two steps; (1) CFD simulation of the piston pump operation with various combination of six parameters selected based on the optimization principle, and (2) applying a multi-objective optimization approach based on the NSGA-II using the CFD data set to evaluate the Pareto front. Our exploration shows that we can choose an optimal trade-off solution combination to reach a target efficiency of the axial piston pump with minimum pressure ripple.

A MAC Parameter Optimization Scheme for IEEE 802.11e-based Multimedia Networks (IEEE 802.11e 기반 멀티미디어 네트워크를 위한 MAC 매개 변수 최적화 방법)

  • Sung, Min-Young
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.9 no.2
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    • pp.455-461
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    • 2008
  • Enhanced Distributed Channel Access (EDCA) is a channel access scheme adopted by the IEEE 802.11e draft standard for QoS-enabled wireless local area networks. It classifies traffic into separate Access Categories (ACs) and achieves service differentiation by allowing each AC to have its own values of channel access parameters. This paper proposes a scheme to dynamically adapt the EDCA parameters to traffic environment so that they both maximize the throughput of non real-time traffics and meet the delay and throughput constraints of real-time traffics. For this purpose, we develop a design algorithm for efficient exploration of the EDCA parameter space. Using the algorithm, we derive a Pareto curve fur delay-throughput trade-off in each anticipated traffic environment. The Pareto database can then be used to optimally adjust the parameter according to the traffic environment and administrative policies. Simulation results show that compared with the default parameter configuration, the proposed scheme is better for delay, throughput guarantee and can improve the throughput of non real-time traffics by 12% on average.