• 제목/요약/키워드: Function Optimization

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등제한조건을 이용한 목적함수에 대한 최적민감도 (Optimum Sensitivity of Objective Function using Equality Constraint)

  • 이상일;신정규;박경진
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 추계학술대회 논문집
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    • pp.464-469
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    • 2005
  • Optimum sensitivity analysis (OSA) is the process to find the sensitivity of optimum solution with respect to the parameter in the optimization problem. The prevalent OSA methods calculate the optimum sensitivity as a post-processing. In this research, a simple technique is proposed to obtain optimum sensitivity as a result of the original optimization problem, provided that the optimum sensitivity of objective function is required. The parameters are considered as additional design variables in the original optimization problem. And then, it is endowed with equality constraints to penalize the additional variables. When the optimization problem is solved, the optimum sensitivity of objective function is simultaneously obtained as Lagrange multiplier. Several mathematical and engineering examples are solved to show the applicability and efficiency of the method compared to other OSA ones.

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향상된 유전알고리듬과 Simplex method을 이용한 다봉성 함수의 최적화 (Optimization of Multimodal Function Using An Enhanced Genetic Algorithm and Simplex Method)

  • 김영찬;양보석
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 추계학술대회논문집
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    • pp.587-592
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    • 2000
  • The optimization method based on an enhanced genetic algorithms is proposed for multimodal function optimization in this paper. This method is consisted of two main steps. The first step is global search step using the genetic algorithm(GA) and function assurance criterion(FAC). The belonging of an population to initial solution group is decided according to the FAC. The second step is to decide the similarity between individuals, and to research the optimum solutions by simplex method in reconstructive search space. Two numerical examples are also presented in this paper to comparing with conventional methods.

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Boltzmann Machine을 이용한 그래프의 최적분할 (Optimal Graph Partitioning by Boltzmann Machine)

  • Lee, Jong-Hee;Kim, Jin-Ho;Park, Heung-Moon
    • 대한전자공학회논문지
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    • 제27권7호
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    • pp.1025-1032
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    • 1990
  • We proposed a neural network energy function for the optimal graph partitioning and its optimization method using Boltzmann Machine. We composed a Boltzmann Machine with the proposed neural network energy function, and the simulation results show that we can obtain an optimal solution with the energy function parameters of A=50, B=5, c=14 and D=10, at the Boltzmann Machine parameters of To=80 and \ulcorner0.07 for a 6-node 3-partition problem. As a result, the proposed energy function and optimization parameters are proved to be feasible for the optimal graph partitioning.

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Global torque optimization of redundant manipulator using dynamic programming

  • Shim, Ick-Chan;Yoon, Yong-San
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.811-814
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    • 1997
  • In this paper, the torque optimization of a kinematically redundant manipulator for minimizing the torque demands is discussed. The minimum torque solution based on a local optimization has been known to encounter the instability problem and then the global torque optimization was suggested as one of the alternatives. Herein, by adopting the infinity-norm rather than the 2-norm for the magnitude of torques, we are to propose a new cost function more advantageous to the avoidance of torque limits. By the way, a solution to the global torque optimization formulated with the new cost function can not be obtained by the previous methods due to their difficulties such as inability to treat discontinuous cost functions and various constraints on the joint variables. Thus, to overcome those deficiencies, we are developing a new approach using the dynamic programming. The effectiveness of the proposed method is shown through simulation examples for a 3-link planar redundant manipulator.

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고주파수대역에서 파워흐름해석법을 이용한 구조물의 설계민감도 해석과 위상최적설계 (Design Sensitivity Analysis and Topology Optimization Method for Power Flow Analysis at High Frequency)

  • 박찬영;박영호;조선호;홍석윤
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 봄 학술발표회 논문집
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    • pp.119-126
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    • 2004
  • A continuum-based design sensitivity analysis and topology optimization methods are developed for power flow analysis. Efficient adjoint sensitivity analysis method is employed and further extended to topology optimization problems. Young's moduli of all the finite elements are selected as design variables and parameterized using a bulk material density function. The objective function and constraint are an energy compliance of the system and an allowable volume fraction, respectively. A gradient-based optimization, the modified method of feasible direction, is used to obtain the optimal material layout. Through several numerical examples, we notice that the developed design sensitivity analysis method is very accurate and efficient compared with the finite difference sensitivity. Also, the topology optimization method provides physically meaningful results. The developed is design sensitivity analysis method is very useful to systematically predict the impact on the design variations. Furthermore, the topology optimization method can be utilized in the layout design of structural systems.

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휴대폰용 카메라 렌즈 시스템의 공차최적설계 (Tolerance Analysis and Optimization for a Lens System of a Mobile Phone Camera)

  • 정상진;최동훈;최병렬;김주호
    • 한국CDE학회논문집
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    • 제16권6호
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    • pp.397-406
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    • 2011
  • Since tolerance allocation in a mobile phone camera manufacturing process greatly affects production cost and reliability of optical performance, a systematic design methodology for allocating optimal tolerances is required. In this study, we proposed the tolerance optimization procedure for determining tolerances that minimize production cost while satisfying the reliability constraints on important optical performance indices. We employed Latin hypercube sampling for evaluating the reliabilities of optical performance and a function-based sequential approximate optimization technique that can reduce computational burden and well handle numerical noise in the tolerance optimization process. Using the suggested tolerance optimization approach, the optimal production cost was decreased by 30.3 % compared to the initial cost while satisfying the two constraints on the reliabilities of optical performance.

Dynamic mix design optimization of high-performance concrete

  • Ziaei-Nia, Ali;Shariati, Mahdi;Salehabadi, Elnaz
    • Steel and Composite Structures
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    • 제29권1호
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    • pp.67-75
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    • 2018
  • High performance concrete (HPC) depends on various parameters such as the type of cement, aggregate and water reducer amount. Generally, the ready concrete company in various regions according to the requirements and costs, mix design of concrete as well as type of cement, aggregates, and, amount of other components will vary as a result of moment decisions or dynamic optimization, though the ideal conditions will be more applicable for the design of mix proportion of concrete. This study aimed to apply dynamic optimization for mix design of HPC; consequently, the objective function, decision variables, input and output variables and constraints are defined and also the proposed dynamic optimization model is validated by experimental results. Results indicate that dynamic optimization objective function can be defined in such a way that the compressive strength or performance of all constraints is simultaneously examined, so changing any of the variables at each step of the process input and output data changes the dynamic of the process which makes concrete mix design formidable.

유전자 알고리즘(GA)을 이용한 구조물의 동적해석 및 최적화 (Structural Dynamic Optimization Using a Genetic Algorithm(GA))

  • 이영우;성활경
    • 한국정밀공학회지
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    • 제17권5호
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    • pp.93-99
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    • 2000
  • In many dynamic structural optimization problems, the goal is to reduce the total weight of the structure without causing the resonance. Up to now, gradient informations(i.e., design sensitivity) have been used to achieve the goal. For some class of dynamic problems, especially coalescent eigenvalue Problems with multiobjective optimization, the design sensitivity analysis is too much complicated mathematically and numerically. Therefore, this article proposes a new technique fur structural dynamic modification using a mode modification method with Genetic Algorithm(GA). In GA formulation, fitness is defined based on penalty function approach. Design variables are iteratively improved by using genetic algorithm. Two numerical examples are shown, (ⅰ) a cantilevered plate, and (ⅱ) H-shaped structure. The results demonstrate that the proposed method is highly efficient.

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TABU 알고리즘을 이용한 대공간 구조물의 최적설계 (Optimum Design of the Spatial Structures using the TABU Algorithm)

  • 조용원;이상주;한상을
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2005년도 춘계학술발표회 및 정기총회 2권1호(통권2호)
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    • pp.246-253
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    • 2005
  • The design of structural engineering optimization is to minimize the cost. This problem has many objective functions formulating section and shape as a function of the included discrete variables. simulated annealing, genetic algerian and TABU algorithm are searching methods for optimum values. The object of this reserch is comparing the result of TABU algorithm, and verifying the efficiency of TABU algorithm in structural optimization design field. For the purpose, this study used a solid truss of 25 elements having 10 nodes, and size optimization for each constraint and load condition of Geodesic one, and shape optimization of Cable Dome for verifying spatial structures by the application of TABU algorithm

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선택.최적화.보상 책략과 중년기 위기감과의 관계 (Selection, Optimization, and Compensation(SOC) as Strategies of life Management in Mid-life Crisis)

  • 엄세진;정옥분
    • 대한가정학회지
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    • 제39권11호
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    • pp.43-62
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    • 2001
  • This study investigated the relationships among Selection, Optimization, and Compensation(SOC) as strategies of life management in mid-life crisis respect to gender and age. The subjects of this study were 170 females and 182 males at the ages between 40 and 60 living in Seoul. Selection, Optimization, and Compensation(SOC) as strategies of life management were assessed by SOC-questionnaire while mid-life crisis was assessed by Mid-Life Crisis Scale. The data were analyzed using frequencies, percentiles, means, standard deviations, Cronbach's $\alpha$, two-way ANOVAS, and Pearson's correlations. Except compensation there was no significant difference in Selection and Optimization as strategies of life management as a function of gender and age. No signigicant difference was found in mid-life crisis as a function of gender and age. There were significant negative correlations among Selection, Optimization, and Compensation(SOC) as strategies of life management and mid-life crisis except the individuation.

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