• 한국경영과학회지
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• 제40권3호
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• pp.23-38
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• 2015

In this paper, we evaluate the strength of three families of cutting planes for a lot-sizing problem. Lot-sizing problem is very basic MIP model for production planning and many strong valid inequalities have been developed for a variety of relaxations in the literature. To use three families of cutting planes in Branch-and-Cut framework, we develop separation algorithms for each cut and implement them in CPLEX. Then, we perform computational study to compare the effectiveness of three cuts for randomly generated instances of the lot-sizing problem.

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 1995년도 춘계공동학술대회논문집; 전남대학교; 28-29 Apr. 1995
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• pp.697-708
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• 1995

For many practical optimization problems where the system components are stochastic, the objective functions can not be represented analytically. Furthermore, many of these problems are characterized by the presence of multiple and conflicting objectives. In this research, we introduce a new algorithm through an interactive cutting plane method for solving this multi-criteria simulation optimization problem. Then a turning process is evaluated through the proposed algorithm.

• 한국경영과학회지
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• 제21권3호
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• pp.227-236
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• 1996

In this paper an algorithm based on cutting plane approach is developed which constructs all the efficient p-tuples of multiobjective integer linear fractional programming problem. The integer solution is constrained to satisfy and h out of n additional constraint sets. A numerical illustration in support of the proposed algorithm is developed.

• 한국정보과학회논문지:정보통신
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• 제35권6호
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• pp.497-509
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• 2008

현재 패킷 분류에 대한 다양한 알고리즘들이 연구되어 오고 있다 그 중 HiCuts와 HyperCuts와 같은 디시젼(decision) 트리에 기초한 패킷 분류 알고리즘은 룰의 각 필드가 가지는 영역에 따른 기하학적 구조를 이용한 방법으로 잘 알려져 있다. 그러나 이 알고리즘들은 분할(cutting)을 수행할 필드(Field)를 선택하거나 디시젼 트리의 각 노드에서 컷(cut)의 수를 결정해야 하는 등의 비교적 복잡한 작업을 요구하므로 현실적으로 구현하기 어려운 점을 가진다. 또한 각 룰이 차지하는 영역의 특성을 고려하지 않고 일정한 크기의 영역으로 커팅이 이루어지므로 효과적인 커팅을 하지 못하는 단점이 있다. 본 논문에서는 새로운 영역 분할을 사용한 효과적인 패킷 분류 알고리즘을 제안한다. 제안하는 알고리즘은 먼저 프리픽스를 가지는 두 필드를 이용하여 각 룰이 차지하는 영역들을 찾아내 이들을 이용해 영역분할을 수행한다. 따라서 제안된 알고리즘은 보다 효율적인 디시젼 트리를 구성한다. 즉, 디시젼 트리의 각 노드에서는 HiCuts이나 HyperCuts와 같은 복잡한 작업없이 최적화된 커팅을 수행할 수 있다. 클래스 벤치에서 제공된 데이타베이스에 대하여 시뮬레이션을 수행한 결과, 제안된 알고리즘은 평균 검색 속도에서 기존의 알고리즘들보다 훨씬 향상되었고 메모리 요구량에서는 기존의 커팅 알고리즘과 비교하여 대략 $3{\sim}300$배까지 크게 줄어드는 효과를 보였다.

• Industrial Engineering and Management Systems
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• 제10권3호
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• pp.221-231
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• 2011

One of the critical issues in wireless sensor network is the design of a proper routing protocol. One possible approach is utilizing a virtual infrastructure, which is a subset of sensors to connect all the sensors in the network. Among the many virtual infrastructures, the connected dominating set is widely used. Since a small connected dominating set can help to decrease the protocol overhead and energy consumption, it is preferable to find a small sized connected dominating set. Although many algorithms have been suggested to construct a minimum connected dominating set, there have been few exact approaches. In this paper, we suggest an improved optimal algorithm for the minimum connected dominating set problem, and extensive computational results showed that our algorithm outperformed the previous exact algorithms. Also, we suggest a new heuristic algorithm to find the connected dominating set and computational results show that our algorithm is capable of finding good quality solutions quite fast.

• 한국항해항만학회지
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• 제30권7호
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• pp.561-566
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• 2006

In this paper, we propose a new ship scheduling set packing model considering limited risk or variance. The set packing model is used in many applications, such as vehicle routing, crew scheduling, ship scheduling, cutting stock and so on. As long as the ship scheduling is concerned, there exits many unknown external factors such as machine breakdown, climate change and transportation cost fluctuation. However, existing ship scheduling models have not considered those factors apparently. We use a quadratic set packing model to limit the variance of expected cost of ship scheduling problems under stochastic spot rates. Set problems are NP-complete, and additional quadratic constraint makes the problems much harder. We implement Kelley's cutting plane method to replace the hard quadratic constraint by many linear constrains and use branch-and-bound algorithm to get the optimal integral solution. Some meaningful computational results and comments are provided.

• 한국경영과학회지
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• 제22권3호
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• pp.11-22
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• 1997

The aim of this paper is to develop the B & B type algorithms for globally minimizing concave function under 0-1 knapsack constraint. The linear convex envelope underestimating the concave object function is introduced for the bounding operations which locate the vertices of the solution set. And the simplex containing the solution set is sequentially partitioned into the subsimplices over which the convex envelopes are calculated in the candidate problems. The adoption of cutting plane method enhances the efficiency of the algorithm. These mean valid inequalities with respect to the integer solution which eliminate the nonintegral points before the bounding operation. The implementations are effectively concretized in connection with the branching stategys.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2004년도 ICEIC The International Conference on Electronics Informations and Communications
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• pp.400-404
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• 2004

There are many methods to find solutions for Integer Programming problems (IPs) such as the Branch-Bound philosophy or the Cutting Plane algorithm. However, most of them have a problem that is the explosion of sets in the computing process. In addition, GA is known as a heuristic search algorithm for solutions of optimization problems. It is started from a random initial guess solution and attempting to find one that is the best under some criteria and conditions. The paper will study an artificial intelligent method to solve IPs by using Genetic Algorithms (GAs). The original solution of this was presented in the papers of Fabricio Olivetti de Francaand and Kimmo Nieminen [2003]. However, both have several limitations which causes could be operations in GAs. The paper proposes a method to upgrade these operations and computational results are also shown to support these upgrades.

• 전자공학회논문지SC
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• 제42권5호
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• pp.51-58
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• 2005

본 논문에서는 유방 초음파 볼륨영상에서 진단하고자 하는 종양 영역을 율왜곡 기반(rate-distortion based) 시드영역 확장 법으로 분할하는 알고리듬을 제안한다. 제안된 분할법에서는 율은 윤곽의 거친 정도를 나타내고 왜곡은 영역의 동질성 정도를 나타내는데, 흉부 종양 볼륨으로부터 획득한 2차원 단면 영상에서 설정된 초기 시드영역에서 시작하여 이러한 율과 왜곡을 동시에 최소화하는 주위영역 중 하나씩 시드영역으로 병합한다. 이러한 병합은 시드영역의 윤곽 화소당 평균 율왜곡 비용이 최대가 될 때까지 반복적으로 수행한다. 이렇게 함으로써 최종 시드영역은 동질성이 잘 유지되고 부드러운 윤곽을 갖게 된다. 마지막으로 모든 단면 영상에 있는 최종 시드영역의 윤곽들을 이용하여 3차원 흉부 종양을 추출한다. 실험 결과, 제안한 방법이 초음파 데이터에 대하여 평균 에러율이 약 4% 미만으로 나타났다.

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 1992년도 춘계공동학술대회 발표논문 및 초록집; 울산대학교, 울산; 01월 02일 May 1992
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• pp.117-126
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• 1992

This study proposes a new interactive multicriteria method for determining the best levels of the decision variables needed to optimize a stochastic computer simulation with multiple response variables. The method, called the Pairwise Comparison Stochastic Cutting Plane (PCSCP) method, combines good features from interactive multiple objective mathematical programming methods and response surface methodology. The major characteristics of the PCSCP algorithm are: (1) it interacts progressively with the decision maker (DM) to obtain his preferences, (2) it uses good experimental design to adequately explore the decision space while reducing the burden on the DM, and (3) it uses the preference information provided by the DM and the sampling error in the responses to reduce the decision space. This paper presents the basic concepts of the PCSCP method along with its performance for solving randomly selected test problems.