• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2004년도 춘계학술대회 논문집
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• pp.401-405
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• 2004

Column subtraction, originally proposed by Harche and Thompson(]994), is an exact method for solving large set covering, packing and partitioning problems. Since the constraint set of ship scheduling problem(SSP) have a special structure, most instances of SSP can be solved by LP relaxation. This paper aims at applying the column subtraction method to solve SSP which can not be solved by LP relaxation. For remained instances of unsolvable ones, we subtract columns from the finale simplex table to get another integer solution in an iterative manner. Computational results having up to 10,000 0-1 variables show better performance of the column subtraction method solving the remained instances of SSP than complex branch-and-bound algorithm by LINDO.

• 한국항해항만학회지
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• 제28권2호
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• pp.129-133
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• 2004

Column subtraction, originally proposed by Harche and Thompson(1994), is an exact method for solving large set covering, packing and partitioning problems. Since the constraint set of ship scheduling problem(SSP) have a special structure, most instances of SSP can be solved by LP relaxation This paper aim, at applying the column subtraction method to solve SSP which am not be solved by LP relaxation For remained instances of unsolvable ones, we subtract columns from the finale simplex table to get another integer solution in an iterative manner. Computational results having up to 10,000 0-1 variables show better performance of the column subtraction method solving the remained instances of SSP than complex branch and-bound algorithm by LINDO.

• 한국ITS학회 논문지
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• 제12권1호
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• pp.121-135
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• 2013

전 세계적으로 지구온난화로 인한 환경문제가 심각한 위기로 인식되어지면서 세계 각국에서는 전 산업분야에 걸쳐 이산화탄소 배출을 줄이고자 노력하고 있다. 국내 에너지 부문 CO2 배출량의 약 20%를 차지하는 수송 분야의 이산화탄소 배출을 감소시키기 위해서는 전기자동차 보급 확산이 필수적이다. 최근 정부에서 전기자동차 보급 활성화를 위해 많은 노력을 기울이고 있으나 긴 충전시간과 배터리의 가격에 의한 비싼 차량가격, 짧고 불규칙한 운행거리와 부족한 충전 인프라 등으로 인하여 향후 전기자동차의 보급 확대는 매우 불투명한 상태이다. 이러한 단점을 해결하고 효과적으로 전기자동차를 보급할 수 있는 방법 중 하나가 바로 배터리 공용제 기반의 배터리 자동교환형 전기자동차 시스템이다. 이를 위해서는 배터리를 자동으로 교환해주는 시설인 배터리 교환소 (BSS: Battery Swapping Stations)가 필요하게 되는데, BSS는 배터리 교환을 통해 전기자동차가 긴 충전시간을 소모할 필요 없이 짧은 시간 내에 배터리를 충전하고 이동할 수 있도록 하는 시스템이다. 이러한 시스템을 대중교통, 특히 공공버스에 적용함으로써 보다 빠른 시간 안에 전기자동차를 보급, 확산시키는 것이 가능하다. 일반버스를 전기버스로 전환하여 버스 노선을 운영할 경우 전기버스가 중간에 멈추지 않도록 적절한 위치에 충전시설을 구축할 필요가 있다. 전기버스에 대한 충전시설은 버스 노선의 기 종점 및 기존 버스정류장에 추가로 설치하여 버스가 승객의 승 하차를 위해 정차할 때 신속하게 배터리를 교환할 수 있게 구축해야 한다. 본 연구에서는 전기버스를 위한 배터리 자동교환충전시설의 위치선정 문제를 Set Covering Problem에 적용하여 해결하였다. 배터리 충전 시 최대 주행거리를 영향권으로 설정하였으며 메타 휴리스틱 기법인 그리디 알고리즘을 활용하여 배터리 교환형 충전인프라 배치 최적화 모델을 개발하였고 현재 운영 중인 서울시의 버스노선을 대상으로 실제 충전시설의 위치를 선정하였다.

• Journal of Information Processing Systems
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• 제13권5호
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• pp.1345-1357
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• 2017

A prototype selection method chooses a small set of training points from a whole set of class data. As the data size increases, the selected prototypes play a significant role in covering class regions and learning a discriminate rule. This paper discusses the methods for selecting prototypes in a classification framework. We formulate a prototype selection problem into a set covering optimization problem in which the sets are composed with distance metric and predefined classes. The formulation of our problem makes us draw attention only to prototypes per class, not considering the other class points. A training point becomes a prototype by checking the number of neighbors and whether it is preselected. In this setting, we propose a greedy algorithm which chooses the most relevant points for preserving the class dominant regions. The proposed method is simple to implement, does not have parameters to adapt, and achieves better or comparable results on both artificial and real-world problems.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.435-440
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• 2006

Let G be a simple graph with vertex set V(G) and edge set E(G). A subset S of E(G) is called an edge cover of G if the subgraph induced by S is a spanning subgraph of G. The maximum number of edge covers which form a partition of E(G) is called edge covering chromatic number of G, denoted by X'c(G). It is known that for any graph G with minimum degree ${\delta},\;{\delta}-1{\le}X'c(G){\le}{\delta}$. If $X'c(G) ={\delta}$, then G is called a graph of CI class, otherwise G is called a graph of CII class. It is easy to prove that the problem of deciding whether a given graph is of CI class or CII class is NP-complete. In this paper, we consider the classification of nearly bipartite graph and give some sufficient conditions for a nearly bipartite graph to be of CI class.

• 한국경영과학회지
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• 제34권4호
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• pp.43-56
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• 2009

In korean peninsular, aircraft defense with SAM (Surface-to-Air Missile) is very important because of short range of combat space in depth. Effective and successful defense operation largely depends on two factors, SAM's location and the number of SAM for each target based on missile's availability in each SAM's location. However, most previous papers have handled only the former. In this paper, we developed Set covering model which can handle both factors simultaneously and Multi-heuristic algorithm for solving allocation problem of the batteries and missile assignment problem in each battery. Genetic algorithm is used to decide optimal location of the batteries. To determine the number of SAM, a heuristic algorithm is applied for solving missile assignment problem. If the proposed model is applied to allocation of SAM, it will improve the effectiveness of air defense operations.

• Journal of Electrical Engineering and Technology
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• 제7권2호
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• pp.151-156
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• 2012

The current study presents a zero-one integer programming approach to determine the minimum break point set for the coordination of directional relays. First, the network is reduced if there are any parallel lines or three-end nodes. Second, all the directed loops are enumerated to reduce the iteration. Finally, the problem is formulated as a set-covering problem, and the break point set is determined using the zero-one integer programming technique. Arbitrary starting relay locations and the arbitrary consideration of relay sequence to set and coordinate relays result in navigating the loops many times and futile attempts to achieve system-wide relay coordination. These algorithms are compared with the existing methods, and the results are presented. The problem is formulated as a setcovering problem solved by the zero-one integer programming approach using LINGO 12, an optimization modeling software.

• 제어로봇시스템학회논문지
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• 제8권4호
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• pp.299-302
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• 2002

Error detection and correction using CRC and the general class of cyclic codes is an important part of designing reliable data transmission schemes. The decoding method for cyclic codes using covering patterns is easily-implementable, and its complexity de-pends on the number of covering patterns employed. Determination of the minimal set of covering patterns for a given code is an open problem. In this paper, an efficient search method for constructing minimal sets of covering patterns is proposed and compared with several existing search methods. The result is applicable to various codes of practical interest.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2003년도 컴퓨터소사이어티 추계학술대회논문집
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• pp.11-14
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• 2003

In interconnection network for parallel processing, the cycle partitioning problem for parallel transmission with faulty vertieces or edges is very important. In this paper, we assume that k($\leq$m-1) edges do not share any vertices of m dimension hypercube Q$_{m}$ and show that it is possible to construct a cycle set which consists of k cycles covering all the vertices of the hypercube and one cycle including one of the given edges. This cycle set can be used to parallel transmission between two vertices joined by faulty edges.s.

• 대한산업공학회지
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• 제26권4호
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• pp.384-391
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• 2000

Most of the previous works on classical location models are based on the assumption that the value(or utilities) of inventory remains constants over time. In this study a special case of location problem is studied for both ameliorating and deteriorating items in two-echelon supply-chain management such as agricultural and fishery products. The objective of this study is to determine the minimum number of storage facilities among a discrete set of location sites so that the probability for each customer to be covered is not less than a critical value. We have formulated this problem using stochastic set-covering problem which can be solved by 0-1 programming method. Also we developed a computer program and applied to a set of problems for fish culture storage and distribution centers and the sample results well show the impact of ameliorating and deteriorating rate on the location problem. For the further study, a graphical user-interface with visualization for input and output is needed to be developed.