• 대한산업공학회지
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• 제23권4호
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• pp.709-717
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• 1997

For an undirected graph G=(V, E), the Rural Postman Problem (RPP) is a problem that finds a minimum cost tour that must pass edges in E'($\subseteq$ E) at least once. RPP, such as Traveling Salesman Problem (TSP), is known as an NP. Complete problem. In the previous study of RPP, he structure of the chromosome is constructed by E' and the direction of the edge. Hence, the larger the size of IE' I is, the larger the size of the chromosome and the size of the solution space are. In this paper, we transform the RPP into a Hamiltonian graph and use a genetic algorithm to solve the transformed problem using restructured chromosomes. In the simulations, we analyze our method and the previous study. From the simulation results, it is found that the results of the proposed method is better than those of the previous method and the proposed method also obtains the near optimal solution in earlier generations than the previous study.

• 농촌계획
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• 제5권1호
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• pp.20-25
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• 1999

Our interest in this paper is in the efficient computation of a good low bound for the traveling salesman problem and is in the application of a network problem in agriculture. We base our approach on a relatively new formulation of the TSP as a two-commodity network flow problem. By assigning Lagrangian multipliers to certain constraints and relaxing them, the problem separates into two single-commodity network flow problems and an assignment problem, for which efficient algorithms are available.

• 터널과지하공간
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• 제24권1호
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• pp.11-20
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• 2014

본 연구에서는 노천광산에서 다수의 작업 지점들을 경유하며 광산 전역을 순회해야하는 보조 작업 차량의 최적 이동경로를 분석하였다. Dijkstra's 알고리즘을 사용했던 기존의 연구들과 달리 휴리스틱 외판원 문제 알고리즘을 이용한 결과 다수의 작업지점들의 방문 순서까지 고려하여 보조 작업 차량의 최적 이동경로를 분석할 수 있다. 인도네시아 파시르 석탄 노천광산의 로또 채광장을 대상으로 광산 전역을 정차 없이 순회하는 보조작업 차량의 최적 이동경로를 분석하였다. 그 결과 분석자의 직관에 따라 작업지점들의 방문 순서를 결정하는 것보다 휴리스틱 TSP 알고리즘을 적용해 분석하는 것이 25개 지점 경유시 20분 정도의 이동시간을 단축할 수 있는 것으로 분석되었다. 본 연구에서 제시한 결과가 노천광산 보조 작업 차량들의 시스템 최적화와 관련된 향후 연구들의 방향설정 위해 기초자료로 활용될 수 있을 것이라 기대한다.

• 산업경영시스템학회지
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• 제38권3호
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• pp.1-7
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• 2015

This research is to develop a possible process to apply k-means clustering to an efficient vehicle routing process under time varying vehicle moving speeds. Time varying vehicle moving speeds are easy to find in metropolitan area. There is a big difference between the moving time requirements of two specific delivery points. Less delivery times are necessary if a delivery vehicle moves after or before rush hours. Various vehicle moving speeds make the efficient vehicle route search process extremely difficult to find even for near optimum routes due to the changes of required time between delivery points. Delivery area division is designed to simplify this complicated VRPs due to time various vehicle speeds. Certain divided area can be grouped into few adjacent divisions to assume that no vehicle speed change in each division. The vehicle speeds moving between two delivery points within this adjacent division can be assumed to be same. This indicates that it is possible to search optimum routes based upon the distance between two points as regular traveling salesman problems. This makes the complicated search process simple to attack since few local optimum routes can be found and then connects them to make a complete route. A possible method to divide area using k-means clustering is suggested and detailed examples are given with explanations in this paper. It is clear that the results obtained using the suggested process are more reasonable than other methods. The suggested area division process can be used to generate better area division promising improved vehicle route generations.

• 한국정보통신학회논문지
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• 제12권12호
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• pp.2343-2348
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• 2008

개미 알고리즘은 조합 최적화 문제를 해결하기 위한 메타 휴리스틱 탐색 방법으로, 그리디 탐색뿐만 아니라 긍정적 피드백을 사용한 모집단에 근거한 접근법으로 순회 판매원 문제를 풀기 위해 처음으로 제안되었다. 본 논문은 개선된 $AS_{rank}$ 알고리즘을 제안한다. 기존 $AS_{rank}$ 알고리즘은 최적 경로로 구성될 가능성이 높은 경로에 대해서만 페로몬 갱신을 수행하고 최적 경로를 구성할 가능성이 낮은 경로에 대해서는 전혀 고려하지 않는다. 이것을 고려해 본 논문에서는 최적 경로로 구성될 가능성이 낮은 경로(에이전트들이 구성한 경로 중 최악 경로)에 대해 페로몬을 증발시켜 다음 탐색 과정에서 해당 경로 탐색을 줄이고자 하였다. 이를 통해 다음 사이클에서 에이전트들이 해당 간선의 선택 확률을 줄여줌으로써 기존 ACS 알고리즘에 비해 평균 탐색 시간과 평균 반복 횟수를 줄일 수 있음을 보여준다.

• 한국컴퓨터정보학회논문지
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• 제26권10호
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• pp.27-35
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• 2021

지역 탐색은 다양한 조합 최적화 문제들을 해결하기 위해 활용되어 왔다. 지역 탐색에 있어서 가장 중요한 요소 중 하나가 이웃해를 생성하는 방법이다. 본 논문에서는 순열 기반 조합 최적화를 위한 지역 탐색의 이웃해 생성 전략들을 제안하고, 순회 외판원 문제를 대상으로 각 전략들의 성능을 비교한다. 본 논문에서는 총 10가지 이웃해 생성 전략을 제안한다. 기본적으로 기존에 많이 사용했던 Swap 등 4가지 전략 이외에 Rotation 등 4가지 기법을 새롭게 제안한다. 이외에 기본 이웃해 생성 전략들을 결합하여 만든 Combined1과 Combined2가 있다. 실험은 기본적인 지역 탐색을 적용하되 이웃해 생성 전략만 변경하여 수행하였다. 실험 결과, 이웃해 생성 전략에 따라 성능 차이가 큰 것을 확인하였으며 아울러 Combined2의 성능이 가장 좋음을 확인하였다. 뿐만 아니라 Combined2는 기존의 지역 탐색 기법들보다 더 좋은 성능을 발휘함을 확인하였다.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2001년도 ICCAS
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• pp.180.6-180
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• 2001

Welding/soldering automation is one of the most important manufacturing issues in order to lower the cost, increase the quality, and avoid labor problems. An off-line programming, OLP, is one of the powerful methods to solve this kind of diver sity problem, Unless an OLP system is ready for the path optimization in welding/soldering, a waste of time and cost is unavoidable due to an inefficient path in welding/soldering processes. Therefore, this study attempts to obtain path optimization using a genetic algorithm based on artificial intelligences. The problem of the welding path optimization is defined as conventional TSP (traveling salesman problem), but still paths have to go through welding lines. An improved genetic algorithm was suggested and the problem was formulated as a TSP problem considering ...

• 한국경영과학회지
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• 제19권1호
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• pp.1-16
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• 1994

In this paper, we try to raise the efficiency of PCB production by improving automated inserting process. This process is composed of part inserting sequence and feeder allocation problem. Until now, this problem is formulated by Traveling Salesman Problem (TSP) or Rural Postman Problem. They concerted more on parts(chips) inserting. But in this paper, we concentrate on Feeder. We formulate 0-1 Integer program (MP2) easier than TSP. This program can be solved by using LP Package (i. e. LINDO, GAMS etc). We propose Heuristic algorithm ISFA which guarantees a local optimum and often gives solution. We give some examples to prove ISFA algorithm.

• 대한기계학회논문집
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• 제17권12호
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• pp.3063-3072
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• 1993

The layout is an important and difficult problem in industrial applications like sheet metal manufacturing, garment making, circuit layout, plant layout, and land development. The module layout problem is known to be non-deterministic polynomial time complete(NP-complete). To efficiently find an optimal layout from a large number of candidate layout configuration a heuristic algorithm could be used. In recent years, a number of researchers have investigated the combinatorial optimization problems by using neural network principles such as traveling salesman problem, placement and routing in circuit design. This paper describes the application of Self-organizing Feature Maps(SOM) of the Kohonen network and Simulated Annealing Algorithm(SAA) to the layout problem of the two-dimensional rectangular shapes.

• 한국경영과학회:학술대회논문집
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• 한국경영과학회 2004년도 추계학술대회 및 정기총회
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• pp.389-392
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• 2004

The column generation process for the set-partitioning model of the vehicle routing problem requires repeated solutions of column generation subproblems which has a combinatorial structure similar to that of the traveling salesman problem. This limits the size of the problem that can be addressed. We introduce a new modeling approach, termed route-splitting, which splits each vehicle route into segments, and results in more tractable subproblems. A lower bounding scheme that yields an updated bound at each iteration of the column generation process is developed. Implementation issues, including a technique of controlling columns in the master problem, are explored. Lower bounds are computed on standard benchmark problems with up to 199 customers.