• Title/Summary/Keyword: 최적화 문제

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Study on New Encoding based GA for Solving Bicriteria Network Topology Design Problems (2목적 네트워크 토폴로지 설계 문제를 풀기위한 새로운 엔코딩 기반의 유전자 알고리즘에 대한 연구)

  • Kim, Jong-Ryul;Lee, Jae-Uk;Yoo, Jung-Ho
    • Proceedings of the Korea Information Processing Society Conference
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    • 2003.05a
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    • pp.289-292
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    • 2003
  • 인터넷이 발전함에 따라 네트워크 시스템의 토폴로지 설계에 관한 여러 가지 문제들에 대한 관심이 증가하고 있다. 이러한 네트워크의 토폴로지 구조는 서비스 센터, 터미널(사용자), 연결 케이블로 이루어져 있다. 근래에 이런 네트워크 시스템들은 사용자들로부터의 요구사항이 많아지고 있기에 주로 광케이블로 구축하는 경우가 점차 늘어나고 있다지만, 광케이블의 비판 비용을 고려하면 네트워크의 구조가 스패닝 트리(spanning tree)로 구축되어 지는 것이 바람직하다고 볼 수 있다. 네트워크 토폴로지 설계 문제들은 연결비용, 평균 메시지 지연, 네트워크 신뢰도 등과 같은 설계 기준들을 최적으로 만족하는 토폴로지를 탐색하는 것으로 정의될 수 있다. 최근에 유전자 알고리즘(GA)은 네트워크 최적화 문제, 조합 최적화 문제, 다목적 최적화 문제 등과 같은 관련된 분야에서 많은 연구들이 이루어지고 있으며 또한, 많은 실세계의 문제를 위한 최적화 기술로서 그 잠재력을 매우 주목 받고 있다. 본 논문에서는 연결비용, 평균 메시지 지연, 네트워크 신뢰도를 고려하여, 광케이블로 구성되어 지는 광대역통신 네트워크의 2목적 네트워크 토폴로지 설계 문제들을 풀기 위한 GA를 제안한다. 또한, 후보 네트워크 토폴로지 구조를 염색체(chromosome)로 표현하기 위해 Prtifer수(PN_와 클러스터 스트링으로 구성되어지는 새로운 엔코딩 방법도 제안한다. 마지막으로 수치예를 통해 제안한 GA의 성능을 평가할 것이다.

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An Adaptive Evolutionary Algorithm Applied to the Fixed Charge Transportation Problem (고정비용 수송문제에 적용된 적응형 진화 알고리즘)

  • Soak, Sang-Moon;Lee, Hong-Girl
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.2
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    • pp.121-124
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    • 2006
  • 본 논문에서는 고정비용수송문제와 같은 다양한 네트워크 최적화 문제들에 적용될 수 있는 새로운 진화 알고리즘을 소개한다. 제안하는 알고리즘은 기존의 진화 알고리즘과 비교에서 두가지 다른 특징을 지닌다. 첫째, 해 표현법이 다르다. 초기에, 모든 유전인자 값이 '0'으로 설정된다. 둘째, 각 해들은 일치하는 적합도 값에 따라 일종의 라마크식(Lamarckian) 적응 과정을 수행한다. 제안하는 적응적 진화 알고리즘의 성능을 측정하기 위해 고정비용수송문제에 적용하였으며 또한 동시에 제안하는 알고리즘을 최적화하기 위해 다양한 실험을 수행하였다. 결론적으로, 제안하는 알고리즘은 기존에 고정비용수송문제를 위해 제안된 가장 우수한 알고리즘보다 더 우수한 성능을 보여주었다.

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Application of Linear Goal Programming to Large Scale Nonlinear Structural Optimization (대규모 비선형 구조최적화에 관한 선형 goal programming의 응용)

  • 장태사;엘세이드;김호룡
    • Computational Structural Engineering
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    • v.5 no.1
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    • pp.133-142
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    • 1992
  • This paper presents a method to apply the linear goal programming, which has rarely been used to the structural opimization problem due to its unique formulation, to large scale nonlinear structural optimization. The method can be used as a multicriteria optimization tool since goal programming removes the difficulty in defining an objective function and constraints. The method uses the finite element analysis, linear goal programming techniques and successive linearization to obtain the solution for the nonlinear goal optimization problems. The general formulation of the structural optimization problem into a nonlinear goal programming form is presented. The successive linearization method for the nonlinear goal optimization problem is discussed. To demonstrate the validity of the method, as a design tool, the minimum weight structural optimization problems with stress constraints are solved for the cases of 10, 25 and 200 trusses and compared with the results of the other works.

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Cost-based Optimization of Extended Boolean Queries (확장 불리언 질의에 대한 비용 기반 최적화)

  • 박병권
    • Journal of the Korean Society for information Management
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    • v.18 no.3
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    • pp.29-40
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    • 2001
  • In this paper, we suggest a query optimization algorithm to select the optimal processing method of an extended boolean query on inverted files. There can be a lot of methods for processing an extended boolean query according to the processing sequence oh the keywords con tamed in the query, In this sense, the problem of optimizing an extended boolean query it essentially that of optimizing the keyword sequence in the query. In this paper, we show that the problem is basically analogous to the problem of finding the optimal join order in database query optimization, and apply the ideas in the area to the problem solving. We establish the cost model for processing an extended boolean query and develop an algorithm to filled the optimal keyword-processing sequence based on the concept of keyword rank using the keyword selectivity and the access costs of inverted file. We prove that the method selected by the optimization algorithm is really optimum, and show, through experiments, that the optimal method is superior to the others in performance We believe that the suggested optimization algorithm will contribute to the significant enhancement of the information retrieval performance.

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Vector Heuristic into Evolutionary Algorithms for Combinatorial Optimization Problems (진화 알고리즘에서의 벡터 휴리스틱을 이용한 조합 최적화 문제 해결에 관한 연구)

  • Ahn, Jong-Il;Jung, Kyung-Sook;Chung, Tae-Choong
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.6
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    • pp.1550-1556
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    • 1997
  • In this paper, we apply the evolutionary algorithm to the combinatorial optimization problem. Evolutionary algorithm useful for the optimization of the large space problem. This paper propose a method for the reuse of wastes of light water in atomic reactor system. These wastes contain several reusable elements, and they should be carefully selected and blended to satisfy requirements as an input material to the heavy water atomic reactor system. This problem belongs to an NP-hard like the 0/1 knapsack problem. Two evolutionary strategies are used as approximation algorithms in the highly constrained combinatorial optimization problem. One is the traditional strategy, using random operator with evaluation function, and the other is heuristic based search that uses the vector operator reducing between goal and current status. We also show the method which perform the feasible test and solution evaluation by using the vectored knowledge in problem domain. Finally, We compare the simulation results of using random operator and vector operator for such combinatorial optimization problems.

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Optimization for Xenon Oscillation in Load Following Operation of PWR (가압경수형 원자로 부하추종 운전시 제논진동 최적화)

  • 김건중;오성헌;박인용
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.11
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    • pp.861-869
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    • 1989
  • The optimization problems, based on Pontryagin's Maximum Principle, for minimizing (damping) Xenon spatial oscillations in Load Following operations of Pressurized Water Reactor (PWR) is presented. The optimization model is formulated as an optimal tracking problem with quadratic objective functional. The oen-group diffusion equations and Xe-I dynamic equations are defined as equality constraints. By applying the maximum principle, the original problem is decomposed into a single time problem with no constraints. The resultant subproblems are optimized by using the conjugate Gradient Method. The computational results show that the Xenon spatial oscillation is minimized, and the reactor follows the load demand of the electrical power systems while maintaining the desired power distribution.

A linear program approach for a global optimization problem of optimizing a linear function over an efficient set (글로벌최적화 문제인 유효해집합 위에서의 최적화 문제에 대한 선형계획적 접근방법)

  • 송정환
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.04a
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    • pp.53-56
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    • 2000
  • The problem ( Ρ ) of optimizing a linear function d$\^$T/x over the set of efficient set for a multiple objective linear program ( Μ ) is difficult because the efficient set is nonconvex. There some interesting properties between the objective linear vector d and the matrix of multiple objectives C and those properties lead us to establish criteria to solve ( Ρ ) with a linear program. In this paper we investigate a system of the linear equations C$\^$T/${\alpha}$=d and construct two linearly independent positive vectors ${\mu}$, ν such that ${\alpha}$=${\mu}$-ν. From those vectors ${\mu}$, ν, solving an weighted sum linear program for finding an efficient extreme point for the ( Μ ) is a way to get an optimal solution ( Ρ ). Therefore our theory gives an easy way of solving nonconvex program ( Ρ ) with a weighted sum linear program.

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A Study on the Optimization of Aircraft Fuselage Structure using Mixture Amount Method & Genetic Algorithm (혼합물 총량법과 유전자 알고리즘을 이용한 항공기 동체 최적화에 관한 연구)

  • 김형래;박찬우
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.7
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    • pp.28-34
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    • 2006
  • In general engineering problems, the purpose of an optimization is to get optimal design variables. It is the same problem to fix the total amount of the design variables and to judge the optimal mixing proportions of the design variables. That is to say, we can recompose the engineering problems in the concepts of the mixture amount experiments. The goal of mixture amount method is to get the response surfaces of varying both the mixing proportion of component and the total amount of the mixture. The solution of the aircraft fuselage optimization problem is obtained by the mixture amount method and genetic algorithm. In this study, it is shown that the mixture amount method can be utilized for the aircraft structural optimization problem. Also, this method in this study can be applied for the optimization problems over 12 design variables which is impossible for D-optimal design.

Optimization of Unit Commitment Schedule using Parallel Tabu Search (병렬 타부 탐색을 이용한 발전기 기동정지계획의 최적화)

  • Lee, yong-Hwan;Hwang, Jun-ha;Ryu, Kwang-Ryel;Park, Jun-Ho
    • Journal of KIISE:Software and Applications
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    • v.29 no.9
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    • pp.645-653
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    • 2002
  • The unit commitment problem in a power system involves determining the start-up and shut-down schedules of many dynamos for a day or a week while satisfying the power demands and diverse constraints of the individual units in the system. It is very difficult to derive an economically optimal schedule due to its huge search space when the number of dynamos involved is large. Tabu search is a popular solution method used for various optimization problems because it is equipped with effective means of searching beyond local optima and also it can naturally incorporate and exploit domain knowledge specific to the target problem. When given a large-scaled problem with a number of complicated constraints, however, tabu search cannot easily find a good solution within a reasonable time. This paper shows that a large- scaled optimization problem such as the unit commitment problem can be solved efficiently by using a parallel tabu search. The parallel tabu search not only reduces the search time significantly but also finds a solution of better quality.

An Integration of Local Search and Constraint Programming for Solving Constraint Satisfaction Optimization Problems (제약 만족 최적화 문제의 해결을 위한 지역 탐색과 제약 프로그래밍의 결합)

  • Hwang, Jun-Ha
    • Journal of the Korea Society of Computer and Information
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    • v.15 no.5
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    • pp.39-47
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    • 2010
  • Constraint satisfaction optimization problem is a kind of optimization problem involving cost minimization as well as complex constraints. Local search and constraint programming respectively have been used for solving such problems. In this paper, I propose a method to integrate local search and constraint programming to improve search performance. Basically, local search is used to solve the given problem. However, it is very difficult to find a feasible neighbor satisfying all the constraints when we use only local search. Therefore, I introduced constraint programming as a tool for neighbor generation. Through the experimental results using weighted N-Queens problems, I confirmed that the proposed method can significantly improve search performance.