• 제목/요약/키워드: multi-objective optimization technique

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크리깅 모델에 의한 철도차량 현수장치 최적설계 (Optimization of a Train Suspension using Kriging Model)

  • 박찬경;이광기;이태희;배대성
    • 대한기계학회논문집A
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    • 제27권6호
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    • pp.864-870
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    • 2003
  • In recent engineering, the designer has become more and more dependent on the computer simulations such as FEM(Finite Element Method) and BEM(Boundary Element Method). In order to optimize such implicit models more efficiently and reliably, the meta -modeling technique has been developed for solving such a complex problems combined with the DACE(Design and Analysis of Computer Experiments). It is widely used for exploring the engineer's design space and for building approximation models in order to facilitate an effective solution of multi-objective and multi-disciplinary optimization problems. Optimization of a train suspension is performed according to the minimization of forty -six responses that represent ten ride comforts, twelve derailment quotients, twelve unloading ratios, and twelve stabilities by using the Kriging model of a train suspension. After each Kriging model is constructed, multi -objective optimal solutions are achieved by using a nonlinear programming method called SQP(Sequential Quadratic Programming).

남강댐 상류유역 수질관리를 위한 BMPs의 다목적 최적화 (Multi-objective Optimization of BMPs for Controlling Water Quality in Upper Basin of Namgang Dam)

  • 박윤경;이재관;김정숙;김상단
    • 한국물환경학회지
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    • 제34권6호
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    • pp.591-601
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    • 2018
  • Optimized BMP plans for controlling water quality using the Pareto trade-off surface curve in upper basin of Namgang Dam is proposed. The proposed alternatives consist of BMP installation scenarios in which the reduction efficiency of non-point pollutants is maximized in a given budget. The multi-objective optimization process for determining the optimal alternatives was performed without direct implementation of a watershed model such as SWAT analysis, thereby reducing the time taken. The shortening of the calculation time further enhances the applicability of the multi-objective optimization technique in preparing regional water quality management alternatives. In this study, different types of BMP are applied depending on the land use conditions. Fertilizer input control and vegetative filter strip are considered as alternatives to applying BMP to the field but only control of fertilizer input can be applied to rice paddies. Fertilizer input control and vegetative filter strip can be installed separately or simultaneously in a hydrologic response unit. Finally, 175 BMP application alternatives were developed for the water quality management of the upper river basin of Namgang dam. The proposed application alternative can be displayed on the map, which has the advantage of clearly defining the BMP installation location.

NSGA-II Technique for Multi-objective Generation Dispatch of Thermal Generators with Nonsmooth Fuel Cost Functions

  • Rajkumar, M.;Mahadevan, K.;Kannan, S.;Baskar, S.
    • Journal of Electrical Engineering and Technology
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    • 제9권2호
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    • pp.423-432
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    • 2014
  • Non-dominated Sorting Genetic Algorithm-II (NSGA-II) is applied for solving Combined Economic Emission Dispatch (CEED) problem with valve-point loading of thermal generators. This CEED problem with valve-point loading is a nonlinear, constrained multi-objective optimization problem, with power balance and generator capacity constraints. The valve-point loading introduce ripples in the input-output characteristics of generating units and make the CEED problem as a nonsmooth optimization problem. To validate its effectiveness of NSGA-II, two benchmark test systems, IEEE 30-bus and IEEE 118-bus systems are considered. To compare the Pareto-front obtained using NSGA-II, reference Pareto-front is generated using multiple runs of Real Coded Genetic Algorithm (RCGA) with weighted sum of objectives. Comparison with other optimization techniques showed the superiority of the NSGA-II approach and confirmed its potential for solving the CEED problem. Numerical results show that NSGA-II algorithm can provide Pareto-front in a single run with good diversity and convergence. An approach based on Technique for Ordering Preferences by Similarity to Ideal Solution (TOPSIS) is applied on non-dominated solutions obtained to determine Best Compromise Solution (BCS).

Multiobjective size and topolgy optimization of dome structures

  • Tugrul, Talaslioglu
    • Structural Engineering and Mechanics
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    • 제43권6호
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    • pp.795-821
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    • 2012
  • The size and topology of geometrically nonlinear dome structures are optimized thereby minimizing both its entire weight & joint (node) displacements and maximizing load-carrying capacity. Design constraints are implemented from provisions of American Petroleum Institute specification (API RP2A-LRFD). In accordance with the proposed design constraints, the member responses computed by use of arc-length technique as a nonlinear structural analysis method are checked at each load increment. Thus, a penalization process utilized for inclusion of unfeasible designations to genetic search is correspondingly neglected. In order to solve this complex design optimization problem with multiple objective functions, Non-dominated Sorting Genetic Algorithm II (NSGA II) approach is employed as a multi-objective optimization tool. Furthermore, the flexibility of proposed optimization is enhanced thereby integrating an automatic dome generating tool. Thus, it is possible to generate three distinct sphere-shaped dome configurations with varying topologies. It is demonstrated that the inclusion of brace (diagonal) members into the geometrical configuration of dome structure provides a weight-saving dome designation with higher load-carrying capacity. The proposed optimization approach is recommended for the design optimization of geometrically nonlinear dome structures.

Pareto 최적점 기반 다목적함수 기법 개발에 관한 연구 (Development of a Multi-objective function Method Based on Pareto Optimal Point)

  • 나승수
    • 대한조선학회논문집
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    • 제42권2호
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    • pp.175-182
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    • 2005
  • It is necessary to develop an efficient optimization technique to optimize the engineering structures which have given design spaces, discrete design values and several design goals. As optimization techniques, direct search method and stochastic search method are widely used in designing of engineering structures. The merit of the direct search method is to search the optimum points rapidly by considering the search direction, step size and convergence limit. And the merit of the stochastic search method is to obtain the global optimum points by spreading point randomly entire the design spaces. In this paper, a Pareto optimal based multi-objective function method (PMOFM) is developed by considering the search direction based on Pareto optimal points, step size, convergence limit and random search generation . The PMOFM can also apply to the single objective function problems, and can consider the discrete design variables such as discrete plate thickness and discrete stiffener spaces. The design results are compared with existing Evolutionary Strategies (ES) method by performing the design of double bottom structures which have discrete plate thickness and discrete stiffener spaces.

선호도기반 최적화방법을 이용한 교량의 유지보수계획 (Maintenance Planning for Deteriorating Bridge using Preference-based Optimization Method)

  • 이선영;고현무;박원석;김현중
    • 대한토목학회논문집
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    • 제28권2A호
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    • pp.223-231
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    • 2008
  • 이 논문에서는 교량의 유지보수비용을 최소화할 뿐만 아니라 교량의 성능을 동시에 최대화할 수 있는 새로운 유지보수계획법을 제시한다. 교량 수명연한 동안의 유지보수비용과 교량의 바닥판, 주형, 하부구조의 상태등급으로 표현되는 교량의 성능을 동시에 최적화 하는 다목적 최적화 문제를 구성하여 최적의 유지보수계획을 수립한다. 다목적 최적화문제의 해를 얻기 위한 수치해석 방법으로 유전자 알고리즘(Genetic Algorithm, GA)을 사용하고, 다목적 최적화방법을 적용하여 얻어진 여러 개의 해집합 중 최적해의 선택을 위한 의사결정(decision making)을 위해 선호도기반 최적화방법을 적용한다. 일반적인 5경간의 PSC I형 교량에 대한 수치예제를 통해, 이 연구에서 제안하는 방법이 유지보수비용 및 교량성능간의 균형 있는 최적화를 이룰 수 있음을 보인다.

최적화 기법을 이용한 LNG FPSO 액화 공정 장비의 다층 배치 (Multi-floor Layout for the Liquefaction Process Systems of LNG FPSO Using the Optimization Technique)

  • 구남국;이준채;노명일;황지현;이규열
    • 대한조선학회논문집
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    • 제49권1호
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    • pp.68-78
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    • 2012
  • A layout of an LNG FPSO should be elaborately determined as compared with that of an onshore plant because many topside process systems are installed on the limited area; the deck of the LNG FPSO. Especially, the layout should be made as multi-deck, not single-deck and have a minimum area. In this study, a multi-floor layout for the liquefaction process, the dual mixed refrigerant(DMR) cycle, of LNG FPSO was determined by using the optimization technique. For this, an optimization problem for the multi-floor layout was mathematically formulated. The problem consists of 589 design variables representing the positions of topside process systems, 125 equality constraints and 2,315 inequality constraints representing limitations on the layout of them, and an objective function representing the total layout cost. To solve the problem, a hybrid optimization method that consists of the genetic algorithm(GA) and sequential quadratic programming(SQP) was used in this study. As a result, we can obtain a multi-floor layout for the liquefaction process of the LNG FPSO which satisfies all constraints related to limitations on the layout.

다목적함수 최적화기법을 이용한 유조선의 최적구조설계 (Optimum Structural Design of Tankers Using Multi-objective Optimization Technique)

  • 신상훈;장창두;송하철
    • 한국전산구조공학회논문집
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    • 제15권4호
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    • pp.591-598
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    • 2002
  • 공학적 설계에 있어 많은 문제들은 몇 가지 목적함수들을 동시에 최소화하여야 할 필요가 있을 경우가 있다. 선박설계에 있어, 종래에는 자재비 경감과 재화중량 증가를 위해 최소중량설계가 구조 설계의 주된 목적이었으나, 값싼 노동력을 내세운 후발 조선국과의 치열한 국제 경쟁을 극복하기 위해서는 보다 경제성 있는 선박 건조 기술 개발이 선행되어야 할 것이다. 이에 따라 본 연구에서는 다목적함수 최적화기법을 이용한 선체 구조의 보다 합리적인 설계 방안에 대한 연구를 수행하여 실제 건조된 유조선을 대상으로 중량, 건조비 등의 경제성을 비교 평가하였다. 다목적 함수로는 유조선의 중량과 건조비로 하였으며 최적화 기법으로는 확률론적 탐색법인 ES(Evolution Strategies)를 이용하였다. 건조비 모델은 상대 건조비 개념을 도입하였고, 종강도 부재는 선급규정에 의해, 횡강도 및 횡격벽 부재는 직접해석법인 일반화된 경사처짐법을 사용하여 설계에 적용하였다. 다목적함수 최적화 결과로부터 도출된 Pareto 최적 설계점들에 대하여, 요구운임률을 각각 산정함으로써 이들 최적 설계점들 중에서 가장 경제성이 뛰어난 선박 설계 방안을 제시하였다.

신경회로망을 활용한 타이어 측벽형상의 최적설계 (Optimal Design of Tire Sidewall Contour using Neural Network)

  • 정현성;신성우;조진래;김남전;김기운
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.378-383
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    • 2001
  • In order to improve automobile maneuverability and tire durability, it is very important for one to determine a suitable sidewall contour producing the ideal tension and strain-energy distributions. In order to determine such a sidewall contour, one must apply multi-objective optimization technique. The optimization problem of tire carcass contour involves several objective functions. Hence, we execute the tire contour optimization for improving the maneuverability and the tire durability using satisficing trade-off method. And, the tire optimization also requires long cup time for the sensitivity analysis. In order to resolve this numerical difficulty, we apply neural network algorithm.

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다층지반에 근입된 흙막이 벽의 역해석에 관한 연구 (Back Analysis of the Earth Wall in Multi-layered Subgrade)

  • 이승훈;김종민;김수일;장범수
    • 한국지반공학회논문집
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    • 제18권1호
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    • pp.71-78
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    • 2002
  • 본 연구에서는 다층지반에 근입된 흙막이 벽의 단계별 계측변위로부터 각 층의 지반물성을 추정하고 이로부터 차기단계의 거동을 예측하기 위한 역해석 기법을 제안하였다. 지반이 다수의 층으로 구성되어 있을 경우 찾아야 할 대상변수가 많아지게 되며, 대상변수가 많아질수록 역해석에 상당한 무리가 따르게 된다. 이러한 층별 지반물성을 효율적으로 추정하기 위하여 최하단층부터 순차적으로 대상변수들을 찾아가는 방법을 이용하였다. 역해석은 상당량의 반복계산이 필요하기 때문에 정해석 방법으로는 해석시간이 짧고 시공단계 별 해석이 가능한 탄소성보법을 사용하였다. 역해석 대상변수는 탄소성 하중-변위 곡선의 구성요소인 지반반력계수와 수평토압계수들을 취하였으며, 목적함수는 이상변위에 의한 오차를 최소화시키기 위하여 단계별 계측변위 증분과 해석변위 증분의 차이로 구성하였다. 목적함수를 최소화 시키는 대상변수들을 찾기 위한 최적화 수법으로는 제약순차선형계획 법을 이용하였다. 본 연구를 통하여 제안된 방법을 수치해석자료 및 현장계측자료를 이용하여 검증하였다.