• 제목/요약/키워드: Pareto-optimal designs

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Development of Pareto strategy multi-objective function method for the optimum design of ship structures

  • Na, Seung-Soo;Karr, Dale G.
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제8권6호
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    • pp.602-614
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    • 2016
  • It is necessary to develop an efficient optimization technique to perform optimum designs 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 ship 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 well by spreading points randomly entire the design spaces. In this paper, Pareto Strategy (PS) multi-objective function method is developed by considering the search direction based on Pareto optimal points, the step size, the convergence limit and the random number generation. The success points between just before and current Pareto optimal points are considered. PS method can also apply to the single objective function problems, and can consider the discrete design variables such as plate thickness, longitudinal space, web height and web space. The optimum design results are compared with existing Random Search (RS) multi-objective function method and Evolutionary Strategy (ES) multi-objective function method by performing the optimum designs of double bottom structure and double hull tanker which have discrete design values. Its superiority and effectiveness are shown by comparing the optimum results with those of RS method and ES method.

Multi-objective Optimization of a Laidback Fan Shaped Film-Cooling Hole Using Evolutionary Algorithm

  • Lee, Ki-Don;Husain, Afzal;Kim, Kwang-Yong
    • International Journal of Fluid Machinery and Systems
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    • 제3권2호
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    • pp.150-159
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    • 2010
  • Laidback fan shaped film-cooling hole is formulated numerically and optimized with the help of three-dimensional numerical analysis, surrogate methods, and the multi-objective evolutionary algorithm. As Pareto optimal front produces a set of optimal solutions, the trends of objective functions with design variables are predicted by hybrid multi-objective evolutionary algorithm. The problem is defined by four geometric design variables, the injection angle of the hole, the lateral expansion angle of the diffuser, the forward expansion angle of the hole, and the ratio of the length to the diameter of the hole, to maximize the film-cooling effectiveness compromising with the aerodynamic loss. The objective function values are numerically evaluated through Reynolds- averaged Navier-Stokes analysis at the designs that are selected through the Latin hypercube sampling method. Using these numerical simulation results, the Response Surface Approximation model are constructed for each objective function and a hybrid multi-objective evolutionary algorithm is applied to obtain the Pareto optimal front. The clustered points from Pareto optimal front were evaluated by flow analysis. These designs give enhanced objective function values in comparison with the experimental designs.

CSR 을 활용한 이중선각유조선 중앙단면의 최적구조설계 (Optimum Structural Design of Mid-ship Section of D/H Tankers Based on Common Structural Rules)

  • 나승수;전형근
    • 대한조선학회논문집
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    • 제45권2호
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    • pp.151-156
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    • 2008
  • It is necessary to perform the research works on the general structural designs and optimum structural designs of double hull tankers and bulk carriers due to the newly built Common Structural Rules(CSR). In this study, an optimum structural design of a mid-ship part of double hull oil tanker was carried out by using the CSR. An optimum structural design program was developed by using the Pareto optimal based multi-objective function method. The hull weight and fabrication cost obtained by the single and multi-objective function methods were compared with existing ship by the consideration of CSR and material cost which is recently increasing.

Pareto 최적점 기반 다목적함수 기법에 의한 이중선각유조선의 최적 구조설계 (Optimum Structural Design of D/H Tankers by using Pareto Optimal based Multi-objective function Method)

  • 나승수;염재선;한상민
    • 대한조선학회논문집
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    • 제42권3호
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    • pp.284-289
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    • 2005
  • A structural design system is developed for the optimum design of double hull tankers based on the multi-objective function method. As a multi-objective function method, Pareto optimal based random search method is adopted to find the minimum structural weight and fabrication cost. The fabrication cost model is developed by considering the welding technique, welding poses and assembly stages to manage the fabrication man-hour and process. In this study, a new structural design is investigated due to the rapidly increased material cost. Several optimum structural designs on the basis of high material cost are carried out based on the Pareto optimal set obtained by the random search method. The design results are compared with existing ship, which is designed under low material cost.

NSGA-II를 통한 딤플채널의 다중목적함수 최적화 (Multi-Objective Optimization of a Dimpled Channel Using NSGA-II)

  • 이기돈;압두스 사마드;김광용
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 춘계학술대회논문집
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    • pp.113-116
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    • 2008
  • This work presents numerical optimization for design of staggered arrays of dimples printed on opposite surfaces of a cooling channel with a fast and elitist Non-Dominated Sorting of Genetic Algorithm (NSGA-II) of multi-objective optimization. As Pareto optimal front produces a set of optimal solutions, the trends of objective functions with design variables are predicted by hybrid multi-objective evolutionary algorithm. The problem is defined by three non-dimensional geometric design variables composed of dimpled channel height, dimple print diameter, dimple spacing and dimple depth to maximize heat transfer rate compromising with pressure drop. Twenty designs generated by Latin hypercube sampling were evaluated by Reynolds-averaged Navier-Stokes solver and the evaluated objectives were used to construct Pareto optimal front through hybrid multi-objective evolutionary algorithm. The optimum designs were grouped by k-mean clustering technique and some of the clustered points were evaluated by flow analysis. With increase in dimple depth, heat transfer rate increases and at the same time pressure drop also increases, while opposite behavior is obtained for the dimple spacing. The heat transfer performance is related to the vertical motion of the flow and the reattachment length in the dimple.

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Design and optimization of steel trusses using genetic algorithms, parallel computing, and human-computer interaction

  • Agarwal, Pranab;Raich, Anne M.
    • Structural Engineering and Mechanics
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    • 제23권4호
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    • pp.325-337
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    • 2006
  • A hybrid structural design and optimization methodology that combines the strengths of genetic algorithms, local search techniques, and parallel computing is developed to evolve optimal truss systems in this research effort. The primary objective that is met in evolving near-optimal or optimal structural systems using this approach is the capability of satisfying user-defined design criteria while minimizing the computational time required. The application of genetic algorithms to the design and optimization of truss systems supports conceptual design by facilitating the exploration of new design alternatives. In addition, final shape optimization of the evolved designs is supported through the refinement of member sizes using local search techniques for further improvement. The use of the hybrid approach, therefore, enhances the overall process of structural design. Parallel computing is implemented to reduce the total computation time required to obtain near-optimal designs. The support of human-computer interaction during layout optimization and local optimization is also discussed since it assists in evolving optimal truss systems that better satisfy a user's design requirements and design preferences.

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.

DEVELOPMENT OF A TABU SEARCH HEURISTIC FOR SOLVING MULTI-OBJECTIVE COMBINATORIAL PROBLEMS WITH APPLICATIONS TO CONSTRUCTING DISCRETE OPTIMAL DESIGNS

  • JOO SUNG JUNG;BONG JIN YUM
    • Management Science and Financial Engineering
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    • 제3권1호
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    • pp.75-88
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    • 1997
  • Tabu search (TS) has been successfully applied for solving many complex combinatorial optimization problems in the areas of operations research and production control. However, TS is for single-objective problems in its present form. In this article, a TS-based heuristic is developed to determine Pareto-efficient solutions to a multi-objective combinatorial optimization problem. The developed algorithm is then applied to the discrete optimal design problem in statistics to demonstrate its usefulness.

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누설 인덕턴스를 포함한 DAB 컨버터용 고주파 변압기의 머신러닝 활용한 최적 설계 (Machine-Learning Based Optimal Design of A Large-leakage High-frequency Transformer for DAB Converters)

  • 노은총;김길동;이승환
    • 전력전자학회논문지
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    • 제27권6호
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    • pp.507-514
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    • 2022
  • This study proposes an optimal design process for a high-frequency transformer that has a large leakage inductance for dual-active-bridge converters. Notably, conventional design processes have large errors in designing leakage transformers because mathematically modeling the leakage inductance of such transformers is difficult. In this work, the geometric parameters of a shell-type transformer are identified, and finite element analysis(FEA) simulation is performed to determine the magnetization inductance, leakage inductance, and copper loss of various shapes of shell-type transformers. Regression models for magnetization and leakage inductances and copper loss are established using the simulation results and the machine learning technique. In addition, to improve the regression models' performance, the regression models are tuned by adding featured parameters that consider the physical characteristics of the transformer. With the regression models, optimal high-frequency transformer designs and the Pareto front (in terms of volume and loss) are determined using NSGA-II. In the Pareto front, a desirable optimal design is selected and verified by FEA simulation and experimentation. The simulated and measured leakage inductances of the selected design match well, and this result shows the validity of the proposed design process.

Energy Efficient Design of a Jet Pump by Ensemble of Surrogates and Evolutionary Approach

  • Husain, Afzal;Sonawat, Arihant;Mohan, Sarath;Samad, Abdus
    • International Journal of Fluid Machinery and Systems
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    • 제9권3호
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    • pp.265-276
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    • 2016
  • Energy systems working coherently in different conditions may not have a specific design which can provide optimal performance. A system working for a longer period at lower efficiency implies higher energy consumption. In this effort, a methodology demonstrated by a jet pump design and optimization via numerical modeling for fluid dynamics and implementation of an evolutionary algorithm for the optimization shows a reduction in computational costs. The jet pump inherently has a low efficiency because of improper mixing of primary and secondary fluids, and multiple momentum and energy transfer phenomena associated with it. The high fidelity solutions were obtained through a validated numerical model to construct an approximate function through surrogate analysis. Pareto-optimal solutions for two objective functions, i.e., secondary fluid pressure head and primary fluid pressure-drop, were generated through a multi-objective genetic algorithm. For the jet pump geometry, a design space of several design variables was discretized using the Latin hypercube sampling method for the optimization. The performance analysis of the surrogate models shows that the combined surrogates perform better than a single surrogate and the optimized jet pump shows a higher performance. The approach can be implemented in other energy systems to find a better design.