• 제목/요약/키워드: Multi-objective Optimization Problem

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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.

Quantum Bee Colony Optimization and Non-dominated Sorting Quantum Bee Colony Optimization Based Multi-relay Selection Scheme

  • Ji, Qiang;Zhang, Shifeng;Zhao, Haoguang;Zhang, Tiankui;Cao, Jinlong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제11권9호
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    • pp.4357-4378
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    • 2017
  • In cooperative multi-relay networks, the relay nodes which are selected are very important to the system performance. How to choose the best cooperative relay nodes is an optimization problem. In this paper, multi-relay selection schemes which consider either single objective or multi-objective are proposed based on evolutionary algorithms. Firstly, the single objective optimization problems of multi-relay selection considering signal to noise ratio (SNR) or power efficiency maximization are solved based on the quantum bee colony optimization (QBCO). Then the multi-objective optimization problems of multi-relay selection considering SNR maximization and power consumption minimization (two contradictive objectives) or SNR maximization and power efficiency maximization (also two contradictive objectives) are solved based on non-dominated sorting quantum bee colony optimization (NSQBCO), which can obtain the Pareto front solutions considering two contradictive objectives simultaneously. Simulation results show that QBCO based multi-relay selection schemes have the ability to search global optimal solution compared with other multi-relay selection schemes in literature, while NSQBCO based multi-relay selection schemes can obtain the same Pareto front solutions as exhaustive search when the number of relays is not very large. When the number of relays is very large, exhaustive search cannot be used due to complexity but NSQBCO based multi-relay selection schemes can still be used to solve the problems. All simulation results demonstrate the effectiveness of the proposed schemes.

적응 유전자 알고리즘을 이용한 다수의 성능 사양을 만족하는 제어계의 설계 (A Design Of Control System Satisfying Multi-Performance Specifications Using Adaptive Genetic Algorithms)

  • 윤영진;원태현;이영진;이만형
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2002년도 춘계학술대회 논문집
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    • pp.621-624
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    • 2002
  • The purpose of this paper is a study on getting proper gain set of PID controller which satisfies multi-performance specifications of the control system. The multi-objective optimization method is introduced to evaluate specifications, and the genetic algorithm is used as an optimal problem solver. To enhance the performance of genetic algorithm itself, adaptive technique is included. According to the proposed method in this paper, finding suitable gain set can be more easily accomplishable than manual gain seeking and tuning.

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A novel PSO-based algorithm for structural damage detection using Bayesian multi-sample objective function

  • Chen, Ze-peng;Yu, Ling
    • Structural Engineering and Mechanics
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    • 제63권6호
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    • pp.825-835
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    • 2017
  • Significant improvements to methodologies on structural damage detection (SDD) have emerged in recent years. However, many methods are related to inversion computation which is prone to be ill-posed or ill-conditioning, leading to low-computing efficiency or inaccurate results. To explore a more accurate solution with satisfactory efficiency, a PSO-INM algorithm, combining particle swarm optimization (PSO) algorithm and an improved Nelder-Mead method (INM), is proposed to solve multi-sample objective function defined based on Bayesian inference in this study. The PSO-based algorithm, as a heuristic algorithm, is reliable to explore solution to SDD problem converted into a constrained optimization problem in mathematics. And the multi-sample objective function provides a stable pattern under different level of noise. Advantages of multi-sample objective function and its superior over traditional objective function are studied. Numerical simulation results of a two-storey frame structure show that the proposed method is sensitive to multi-damage cases. For further confirming accuracy of the proposed method, the ASCE 4-storey benchmark frame structure subjected to single and multiple damage cases is employed. Different kinds of modal identification methods are utilized to extract structural modal data from noise-contaminating acceleration responses. The illustrated results show that the proposed method is efficient to exact locations and extents of induced damages in structures.

A Constrained Multi-objective Computation Offloading Algorithm in the Mobile Cloud Computing Environment

  • Liu, Li;Du, Yuanyuan;Fan, Qi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권9호
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    • pp.4329-4348
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    • 2019
  • Mobile cloud computing (MCC) can offload heavy computation from mobile devices onto nearby cloudlets or remote cloud to improve the performance as well as to save energy for these devices. Therefore, it is essential to consider how to achieve efficient computation offloading with constraints for multiple users. However, there are few works that aim at multi-objective problem for multiple users. Most existing works concentrate on only single objective optimization or aim to obtain a tradeoff solution for multiple objectives by simply setting weight values. In this paper, a multi-objective optimization model is built to minimize the average energy consumption, time and cost while satisfying the constraint of bandwidth. Furthermore, an improved multi-objective optimization algorithm called D-NSGA-II-ELS is presented to get Pareto solutions with better convergence and diversity. Compared to other existing works, the simulation results show that the proposed algorithm can achieve better performance in terms of energy consumption, time and cost while satisfying the constraint of the bandwidth.

작업 완료 확률을 고려한 다수 에이전트-다수 작업 할당의 근사 알고리즘 (Approximation Algorithm for Multi Agents-Multi Tasks Assignment with Completion Probability)

  • 김광
    • 한국산업정보학회논문지
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    • 제27권2호
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    • pp.61-69
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    • 2022
  • 다수 에이전트 시스템(Multi-agent system)은 에이전트 각자의 결정으로 최상의 조직화 된 결정을 달성하는 것을 목표로 하는 시스템으로 본 논문에서는 다수 에이전트-다수 작업의 할당 문제를 제시한다. 본 문제는 각 에이전트가 하나의 작업에 할당이 되어 수행하고, 작업 수행에 대한 작업 완료 확률(completion probability)이 있으며 모든 작업의 수행 확률을 최대화하는 할당을 결정한다. 비선형(non-linearity)의 목적함수와 조합 최적화(combinatorial optimization)로 표현되는 본 문제는 NP-hard로, 효과적이면서 효율적인 문제 해결 방법론 제시가 필요하다. 본 연구에서는 한계 이익(marginal gain)의 감소를 의미하는 하위모듈성(submodularity)을 활용한 근사 알고리즘(approximation algorithm)을 제안하고, 확장성(scalability)과 강건성(robustness) 측면에서 우수한 알고리즘임을 이론 및 실험적으로 제시한다.

설계 민감도와 신뢰도 분석에 근거한 전자기기의 다목적 최적화 (Multi-Objective Optimization of Electromagnetic Device Based on Design Sensitivity Analysis and Reliability Analysis)

  • 렌지얀;장전해;박찬혁;고창섭
    • 전기학회논문지
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    • 제62권1호
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    • pp.49-56
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    • 2013
  • In this paper, for constrained optimization problem, one multi-objective optimization algorithm that ensures both performance robustness and constraint feasibility is proposed when uncertainties are involved in design variables. In the proposed algorithm, the gradient index of objective function assisted by design sensitivity with the help of finite element method is applied to evaluate robustness; the reliability calculated by the sensitivity-assisted Monte Carlo simulation method is used to assess the feasibility of constraint function. As a demonstration, the performance and numerical efficiency of the proposed method is investigated through application to the optimal design of TEAM problem 22--a superconducting magnetic energy storage system.

A Study on the Optimum Structural Design for Oil Tankers Using Multi-Objective Optimization

  • Jang, Chang-Doo;Shin, Sang-Hun
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.245-253
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    • 1998
  • Recently, the importance of multi-objective optimization techniques and stochastic search methods is increasing. The stochastic search methods have the concepts of the survival of the fittest and natural selection such as genetic algorithms(GA), simulated annealing(SA) and evolution strategies (ES). As many accidents of oil tankers cause marine pollution, oil tankers of double hull or mid deck structure are being built to minimize the marine pollution. For the improvement of oil tanker design technique, an efficient optimization technique is proposed in this study. Multi-objective optimization problem of weight and cost of double hull and mid deck tanker is formulated. Discrete design variables are used considering real manufacturing, and the concept of relative production cost is also introduced. The ES method is used as an optimization technique, and the ES algorithm was developed to generate a more efficient Pareto optimal set.

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Support Vector Regression 기반 공력-비선형 구조해석 연계시스템을 이용한 유연날개 다목적 최적화 (Multi-Objective Optimization of Flexible Wing using Multidisciplinary Design Optimization System of Aero-Non Linear Structure Interaction based on Support Vector Regression)

  • 최원;박찬우;정성기;박현범
    • 한국항공우주학회지
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    • 제43권7호
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    • pp.601-608
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    • 2015
  • 유연날개의 공력 및 구조 설계값을 설계 변수로 하여 정적 상태에서의 정적 공탄성해석 및 최적화를 수행하였다. 정적 공탄성해석과 최적화를 위해 상용 해석소프트웨어들이 연계된 강건한 다분야 최적설계 시스템을 개발하였다. 최적화 설계변수로는 가로세로비, 테이퍼비, 후퇴각과 날개 위아래 스킨 두께를 설정하였다. 전역적 다목적 최적화를 위해 실수기반 적응영역 다목적 유전자 알고리즘을 적용하였으며 계산시간을 줄이기 위해 메타모델로 서포트벡터회귀 기법을 적용하였다. 유연날개에 대한 파레토 결과 분석을 통해 최대 항속시간과 최소 중량에 대한 최적 결과를 확인하였다.

목표신뢰성을 만족하는 구조물-감쇠기 복합시스템의 다목적 통합최적설계 (Multi-Objective Integrated Optimal Design of Hybrid Structure-Damper System Satisfying Target Reliability)

  • 옥승용;박관순;송준호;고현무
    • 한국지진공학회논문집
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    • 제12권2호
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    • pp.9-22
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    • 2008
  • 이 논문에서는 구조물의 내진성능 향상을 위한 방법으로서 구조부재 및 수동형 감쇠기의 통합최적설계기법을 제시한다. 이는 구조부재 및 감쇠기의 최적배치를 다루는 최적화기법이다. 통합시스템의 최적설계를 위하여 다목적최적화기법을 도입하고, 이를 보다 효율적으로 다루기 위하여 목표신뢰성 제한조건을 갖는 다목적최적화문제로 재구성하였다. 수치해석 예제를 통하여 다양한Pareto 최적해를 제시하였으며, 이들이 기존 설계방법에 상응하는 순차적 설계방법 및 가중합방법에 따른 단일목적함수 최적화방법을 포괄함을 검증하였다. 여러 Pareto 최적해로부터 강성 및 감쇠장치의 사용량을 달리하는 3가지 대표설계안을 선택하고 이들의 내진성능을 다양한 지진하중에 대하여 비교 분석하였다. 이로부터 제시하는 방법이 구조물의 내진성능 향상을 위한 설계방법으로서 효율적으로 적용될 수 있을 것으로 기대된다.