• Title/Summary/Keyword: 다목적 비선형 계획법

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Optimal design of hybrid laminated composite plates (혼합 적층 복합 재료판의 최적설계)

  • 이영신;이열화;나문수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1391-1407
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    • 1990
  • In this paper, optimization procedures are presented considering the static and dynamic constraints for laminated composite plate and hybrid laminated composite plate subject to concentrated load on center of the plates. Design variables for this problem are ply angle or ply thickness. Deflection, natural frequency and specific damping capacity are considered as constraints. Using a recursive linear programming method, the nonlinear optimization problems are solved. By introducing the design scaling factor, the number of iterations is reduced significantly. Composite plates could be designed optimally combined with FEM analysis under various conditions. In the optimization procedure, verification for both analysis and design of the laminated composite plates are compared with the results of the others. Various design results are presented for the laminated composite plates and hybrid laminated composite plates.

Optimal Water Allocation Using Streamflow Network Model and Global Optimization Method (하천망 모형과 전역최적화기법을 이용한 저수지 용수의 최적 배분)

  • Kang, Min Goo;Park, Seung Woo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.292-297
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    • 2004
  • 본 연구에서는 단일목적 저수지와 다목적 댐의 최적운영을 위하여 전역최적해를 탐색하는 SCE-UA법을 사용하는 비선형계획법을 적용한 최적화 모형을 구성하고 과거 운영자료를 사용하여 모형의 적용성을 검토하고 분석하였다. 또한, 다목적댐의 운영수위 상승으로 인하여 발생하는 추가용수를 댐하류로 추가적으로 공급함에 따른 댐운영상의 문제점과 해결책을 제시했다. 관개용 단일 목적 저수지의 유입량은 하천망 모형인 SSARR 모형을 이용하여 추정하였다. 관개용 단일 목적저수지의 용수배분을 최적화한 결과, 실측치와 최적방류량간의 상대오차가 $-2.6\~10.5\%$ 범위를 나타냈으며, 비교적 실측방류량과 유사한 형태로 용수를 공급하는 길과를 나타냈다. 다목적 저수지의 최적운영을 위해 발전량, 저수량 및 필요수량의 관계를 목적함수로하는 최적화 모형을 구성하여 섬진강댐의 최적운영에 적용하였다. 섬진강댐의 댐하류 방류량 증가에 따른 운영상의 문제점을 해결하기 위하여 댐하류 유지용수량을 0.17, 0.50, 0.70, 1.0, 1.5, $3.0m^3/sec$ 방류하는 경우로 구분하여 최적운영한 길과, 댐하류 유지용수량이 $1.0m^3/sec$ 이하인 경우에 발전량이 실적평균발전량에 근접한 결과를 나타냈으며, 용수공급량도 계획공급량인 377.4 백만 $m^3$ 보다 $28.9\~100.7$ 백만 $m^3$ 만큼 많은 양을 공급하는 결과를 나타냈다.

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Optimization for the Design Parameters of Electric Locomotive Overhaul Maintenance Facility (전기 기관차 중수선 시설의 설계 변수 최적화)

  • Um, In-Sup;Cheon, Hyeon-Jae;Lee, Hong-Chul
    • Journal of the Korean Society for Railway
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    • v.13 no.2
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    • pp.222-228
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    • 2010
  • In this paper, we propose a optimization approach for the Electric Locomotive Overhaul Maintenance Facility (ELOMF), which aims at the simulation optimization so as to meet the design specification. In simulation design, we consider the critical path and sensitivity analysis of the critical (dependent) factors and the design (independent) parameters for the parameter selection and reduction of the metamodel. Therefore, we construct the multi-objective non-linear programming. The objective function is normalized for the generalization of design parameter while the constraints are composed of the simulation-based regression metamodel for the critical factors and design factor's domain. Then the effective solution procedure based on the pareto optimal solution set is proposed. This approach provides a comprehensive approach for the optimization of Train Overhaul Maintenance Facility(TOMF)'s design parameters using the simulation and metamoels.

Simultaneous Aero-Structural Design of HALE Aircraft Wing using Multi-Objective Optimization (고고도 장기체공 항공기 날개의 다목적 최적화를 이용한 공력-구조 동시 설계)

  • Kim, Jeong-Hwa;Jun, Sang-Ook;Hur, Doe-Young;Lee, Dong-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.1
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    • pp.50-55
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    • 2011
  • In this study, simultaneous aero-structural design was performed for HALE aircraft wing. The span and the shape of main spar were considered as design variables. To maximize aerodynamic performance and to minimize weight, multi-objective optimization was used. Nonlinear static aeroelastic analysis was performed to compute large deflection of wing. Design of experiment and response surface method were used to reduce computation cost in the design process. Also, aerodynamic performances of deformed wing and rigid wing were compared.

Applications of New Differential Dynamic Programming to the Control of Real-time Reservoir (새로운 미분동적 계획법에 의한 저수지군의 최적제어)

  • Sonu, Jung Ho;Lee, Jae Hyoung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.4 no.3
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    • pp.27-42
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    • 1984
  • The complexity and expensiveness of water resources projects have made optimum operation and design by computer-based techniques of increasing interest in recent years. Water resources problems in real world need many decisions under numerous constraints. In addition there are nonlinearities in the state and return function. This mathematical and technical troublesome must be overcome so that the optimum operation polices are determined. Then traditional dynamic optimization method encountered two major-cruxes: variable discretization and appearance of constraints. Even several recent methods which based on the Differential Dynamic Programming(DDP) have some difficulties in handling of constraints. This paper has presented New DDP which is applicable to multi-reservoir control. It is intended that the method suggested here is superior to abailable alternatives. This belief is supported by analysis and experiments(New DDT does not suffer course of dimensionality and requires no discretization and is able to handle easily all constraints nonlinearity).

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Cell Formation Using Fuzzy Multiobjective Nonlinear Mixed-integer Programming (다목적 비선형 혼합정수계획법을 이용한 셀 형성)

  • 오명진
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.61
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    • pp.41-50
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    • 2000
  • Cell formation(CF) Is to group parts with similar geometry, function, material and process into part families, and the corresponding machines into machine cells. Cell formation solutions often contain exceptional elements(EEs). Also, the following objective functions - minimizing the total costs of dealing with exceptional elements and maximizing total similarity coefficients between parts - have been used in CF modeling. Thus, multiobjective programming approach can be developed to model cell formation problems with two conflicting objective functions. This paper presents an effective cell formation method with fuzzy multiobjective nonlinear mixed-integer programming simultaneously to form machine cells and to minimize the cost of eliminating EEs.

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Two-Phase Approach to Solve Multiobjective Nonlinear Programming Problem (다목적 비선형계획문제의 해결을 위한 2단계 접근법)

  • 이상완;남현우
    • Journal of the Korean Society of Safety
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    • v.12 no.1
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    • pp.122-128
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    • 1997
  • A new approach, called "two-phase approach", has been proposed In this study. Using this approach to solve MONLP(multiobjective nonlinear programming problem), the solution process is divied into two phase. In the first phase, the min-operator is used to aggregate the membership degree of fuzzy goals and constraints. In the second phase, the $\gamma$-operator is used to test and find an efficient solution in the sense of nondominated. It has been shown that no matter what the solution of the problem is unique or not, an efficient solution can be always obtained at the second phase. The proposed approach can be applied to industrial safety problem with multiobjective problems. On the basis of proposed approach, an illustrative numerical example is presented.presented.

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Optimal Reservoir Operation Using Goal Programming for Flood Season (Goal Programming을 이용한 홍수기 저수지 최적 운영)

  • Kim, Hye-Jin;Ahn, Jae-Hwang;Choi, Chang-Won;Yi, Jae-Eung
    • Journal of the Korean Society of Hazard Mitigation
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    • v.11 no.2
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    • pp.147-156
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    • 2011
  • The purpose of multipurpose reservoir operation in flood season is to reduce the peak flood at a control point by utilizing flood control storage or to minimize flood damage by controlling release and release time. Therefore, the most important thing in reservoir operation for flood season is to determine the optimal release and release time. In this study, goal programming is used for the optimal reservoir operation in flood season. The goal programming minimizes a sum of deviation from the target value using linear programming or nonlinear programming to obtain the optimal alternative for the problem with more than two objectives. To analyze the applicability of goal programming, the historical storm data are utilized. The goal programming is applied to the reservoir system operation as well as single reservoir operation. Chungju reservoir is selected for single reservoir operation and Andong and Imha reservoirs are selected for reservoir system operation. The result of goal programming is compared with that of HEC-5. As a result, it was found that goal programming could maintain the reservoir level within flood control level at the end of a flood season and also maintain flood discharge within a design flood at a control point for each time step. The goal programming operation is different from the real operation in the sense that all inflows are assumed to be given in advance. However, flood at a control point can be reduced by calculating the optimal release and optimal release time using suitable constraints and flood forecasting system.

Searching an Efficient frontier in the DEA Model based on the Reference Point Method (참조점 방법을 이용한 DEA모형의 프론티어 탐구)

  • 오동일
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.1 no.1
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    • pp.83-90
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    • 2000
  • DEA is a newly developed analyzing tool to measure efficiency evaluation of decision making units (DMU). It compares DMU by radial Projection on the efficient frontier. The purpose of this study is to show reference point approach used for searching solution in multiple objective linear Programming can be usefully used to determine flexible efficient frontier of each DMU In reference point approach, the minimization of ASF Produces an efficient points in frontier and enhances the usefulness of DEA by Providing flexibility in DEA and optimally allocating resources to DMU. Various DEA models can be supported by reference point method by changing the projection direction in order to choose the targets units, standards costs and management benching-marking.

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