• 한국정보과학회:학술대회논문집
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• 한국정보과학회 2005년도 한국컴퓨터종합학술대회 논문집 Vol.32 No.1 (A)
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• pp.892-894
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• 2005

Graph partitioning provides an important tool for data clustering, but is an NP-hard combinatorial optimization problem. Spectral clustering where the clustering is performed by the eigen-decomposition of an affinity matrix [1,2]. This is a popular way of solving the graph partitioning problem. On the other hand, semidefinite relaxation, is an alternative way of relaxing combinatorial optimization. issuing to a convex optimization[4]. In this paper we present a semidefinite programming (SDP) approach to graph equi-partitioning for clustering and then we use eigen-decomposition to obtain an optimal partition set. Therefore, the method is referred to as semidefinite spectral clustering (SSC). Numerical experiments with several artificial and real data sets, demonstrate the useful behavior of our SSC. compared to existing spectral clustering methods.

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 1992년도 춘계공동학술대회 발표논문 및 초록집; 울산대학교, 울산; 01월 02일 May 1992
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• pp.73-73
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• 1992

• 경영정보학연구
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• 제5권2호
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• pp.203-217
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• 2003

제약식 프로그래밍과 최적화 솔버는 공통된 문제를 풀기 위한 해법으로서 서로 다른 영역에서 발전되어왔다. 특히 제약식 확산법과 선형 계획법은 두 영역의 주된 기법으로서 조합 최적화 문제를 푸는데 함께 사용될 수 있는 통합가능한 보완 기법들이다. 지금까지 이를 통합하기 위한 시도는 주로 한 기법을 다른 기법의 모형 틀안에 포함시키는 것이었다. 본 논문은 둘의 통합을 통한 잇점들은 충분히 사용하기 위해서는 모형 역시 통합될 필요가 있음과 그 모형 통합의 틀을 보이고 그 틀 안에서 어떻게 두 기법의 솔버의 수준으로 통합되어 새로운 혼합 솔버를 구축할 수 있는지를 보인다.

• 지능정보연구
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• 제12권1호
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• pp.139-161
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• 2006

본 논문에서는 새로운 조합경매(combinational auction)모형인 다자간 최적화 경매모형(N-Bilateral Optimized Combinatorial Auction; N-BOCA)을 제시하였다. N-BOCA는 다수의 공급자 및 다수의 구매자간 최적화된 거래를 지원하는 조합경매모형이다. 특히 아키텍처, 거래규약, 거래전략 세가지 관점에서 N-BOCA 시스템을 설계하였다. 경매시장 참여자인 경매자들과 입찰자들은 특정 아키텍처 및 거래규약하에서 최적 거래 대상자 선정을 위한 다양한 전략을 가지게 되며 이러한 거래전략에 따른 유연한 의사결정 모델링 지원을 필요로 한다. 이에 본 논문에서는 최적의 입찰 및 경매자 선정을 위한 Integer Programming 모형 기반의 에이전트 시스템을 제시하였다. 아울러 N-BOCA모형의 유용성을 입증하기 위해 프로토타입과 실험결과를 제시하였다. 실험결과, 기존의 일대다 조합경매 모형 대비 높은 거래 성과를 나타내었다.

• 한국세라믹학회지
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• 제40권12호
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• pp.1170-1176
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• 2003

진화최적방법을 이용하여 alkali earth borosilicate 계열(Eu, Mg, Ca, Sr, Ba)$_{x}$ $B_{y}$S $i_{z}$ $O_{d}$에 E $u^{3+}$ 를 도핑 하여 고효율 적색 형광체를 합성하였다. 본 연구는 삼원색 백색 LED로의 적용을 목적으로 한다. 진화최적방법은 유전알고리즘과 조합화학을 연계하여, LED형광체 개발을 위해 개발하였다. 유전알고리즘을 조합화학에 접목함으로써 시간과 자원의 낭비 없이 매우 효율적인 형광체 탐색을 꾀할 수 있었다. 실질적인 실험에 앞서 다양한 목적함수를 이용하여 시뮬레이션을 실시하여 본 연구의 타당성을 증명하고 실제 합성한 결과 삼원색 백색 LED용 적색형광체(E $u_{0.14}$M $g_{0.18}$C $a_{0.07}$B $a_{0.12}$ $B_{0.17}$S $i_{0.32}$ $O_{{\delta}}$)를 얻었다.얻었다.다.얻었다.얻었다.다.

• Smart Structures and Systems
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• 제31권3호
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• pp.247-257
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• 2023

In structural health monitoring of large-scale structures, optimal sensor placement plays an important role because of the high cost of sensors and their supporting instruments, as well as the burden of data transmission and storage. In this study, a vibration sensor placement algorithm based on deep reinforcement learning (DRL) is proposed, which can effectively solve non-convex, high-dimensional, and discrete combinatorial sensor placement optimization problems. An objective function is constructed to estimate the quality of a specific vibration sensor placement scheme according to the modal assurance criterion (MAC). Using this objective function, a DRL-based algorithm is presented to determine the optimal vibration sensor placement scheme. Subsequently, we transform the sensor optimal placement process into a Markov decision process and employ a DRL-based optimization algorithm to maximize the objective function for optimal sensor placement. To illustrate the applicability of the proposed method, two examples are presented: a 10-story braced frame and a sea-crossing bridge model. A comparison study is also performed with a genetic algorithm and particle swarm algorithm. The proposed DRL-based algorithm can effectively solve the discrete combinatorial optimization problem for vibration sensor placements and can produce superior performance compared with the other two existing methods.

• 대한산업공학회지
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• 제35권1호
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• pp.87-91
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• 2009

In the server disconnection problem, a network with m servers and their users is given and an attacker is to destroy a set of edges to maximize his net gain defined as the total disconnected utilities of the users minus the total edge-destruction cost. The problem is known to be NP-hard. In this paper, we study the server disconnection problem restricted to a ring network. We present an efficient combinatorial algorithm that generates an optimal solution in polynomial time.

• 한국고분자학회:학술대회논문집
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• 한국고분자학회 2006년도 IUPAC International Symposium on Advanced Polymers for Emerging Technologies
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• pp.110-111
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• 2006

Most applications of polymers involve blends and mixtures of components including solvents, surfactants, copolymers, fillers, organic or inorganic functional additives, and various processing aids. These components provide unique properties of polymeric materials even beyond those tailored into the basic chemical structures. In addition, skillful processing extends the properties for even greater applications. The perennial challenge of polymer science is to understand and exploit the structure-processing-property interplay relationship. We are developing and demonstrating combinatorial methods and high throughput analysis as tools to provide this fundamental understanding.

• Industrial Engineering and Management Systems
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• 제11권4호
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• pp.310-330
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• 2012

Scheduling is an important tool for a manufacturing system, where it can have a major impact on the productivity of a production process. In manufacturing systems, the purpose of scheduling is to minimize the production time and costs, by assigning a production facility when to make, with which staff, and on which equipment. Production scheduling aims to maximize the efficiency of the operation and reduce the costs. In order to find an optimal solution to manufacturing scheduling problems, it attempts to solve complex combinatorial optimization problems. Unfortunately, most of them fall into the class of NP-hard combinatorial problems. Genetic algorithm (GA) is one of the generic population-based metaheuristic optimization algorithms and the best one for finding a satisfactory solution in an acceptable time for the NP-hard scheduling problems. GA is the most popular type of evolutionary algorithm. In this survey paper, we address firstly multiobjective hybrid GA combined with adaptive fuzzy logic controller which gives fitness assignment mechanism and performance measures for solving multiple objective optimization problems, and four crucial issues in the manufacturing scheduling including a mathematical model, GA-based solution method and case study in flexible job-shop scheduling problem (fJSP), automatic guided vehicle (AGV) dispatching models in flexible manufacturing system (FMS) combined with priority-based GA, recent advanced planning and scheduling (APS) models and integrated systems for manufacturing.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2002년도 ITC-CSCC -1
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• pp.254-257
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• 2002

In previous study about combinatorial optimization problem solver by using neural network, since Hopfield method, to converge into the optimum solution sooner and certainer is regarded as important. Namely, only static states are considered as the information. However, from a biological point of view, the dynamical system has lately attracted attention. Then we propose the "dynamical" combinatorial optimization problem solver using hysteresis neural network. In this article, the proposal system is evaluated by the N-Queen problem.