• 대한산업공학회지
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• 제19권3호
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• pp.37-49
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• 1993

In this paper, the TSP(traveling salesman problem) which its costs(distance) between nodes are defined with Max($\bar{x}$, $\bar{y}$) has been dealt. In order to find a satisfactory solution for this kind of problem, we generate weighted matrix, and then develope a new heuristic problem solving method using the weighted matrix. Also we analyze the effectiveness of the newly developed heuristic method comparing it with other heuristic algorithm already exists for Euclidean TSP. Finally, we apply a new developed algorithm to real Max($\bar{x}$,$\bar{y}$) TSP such as PCB inserting.

• 한국정보과학회:학술대회논문집
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• 한국정보과학회 2011년도 한국컴퓨터종합학술대회논문집 Vol.38 No.1(B)
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• pp.21-24
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• 2011

본 논문은 확장성(scalability)과 견고함(robustness)을 강조하는 새로운 형태의 병렬 분산 메타-휴리스틱 프레임워크를 제안하고 있다. PADO (Parallel And Distributed Optimization framework) 라고 이름 지어진 본 프레임워크는 이종의 계산 및 통신 자원들을 활용하여 메타-휴리스틱 알고리즘을 병렬화하고 스케일러블한 속도 향상을 얻을 수 있다. 본 프레임워크는 기존의 시퀀셜(sequential) 최적화 프레임워크에 메타-휴리스틱 알고리즘의 병렬화 기법중 하나인 island 모델을 개선하여 구현하였다. 본 연구는 부분적으로 정렬된 지식 공유 방법(Partially Ordered Knowledge Sharing) 모델을 이용하여 병렬 환경 코디네이션(coordination) 오버헤드를 줄였고 계산 노드에 대한 확장성을 얻었다. 본 프레임워크를 통해 기존의 많은 메타-휴리스틱 알고리즘들을 재사용 할 수 있고 다양한 분야의 최적화 문제에 적용 할 수 있으며 계산량이 많은 메타-휴리스틱 알고리즘을 병렬화를 통해 문제를 푸는 시간을 단축 할 수 있다. 순회 판매원 문제(Traveling Salesman Problem)를 통해 프레임워크의 실효성을 검증하였다.

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2001년도 추계학술발표논문집 (하)
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• pp.1151-1154
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• 2001

외판원 문제(Traveling Salesman Problem)는 주어진 n개의 도시들과 그 도시들간의 거리비용이 주어졌을 때, 모든 도시들을 정확히 한번씩만 방문하면서 걸린 비용이 최소가 드는 경로를 찾는 문제로 최적해(optimal)을 구하는 것은 전형적인 NP-완전 문제중의 하나이다. 따라서 외판원 문제를 해결하는 다양한 알고리즘들이 개발되고 있다. 특히 요즈음은 실제 생체 분자(bio-molecule)를 계산의 도구로 사용하는 새로운 계산 방법인 DNA 컴퓨팅은 DNA 분자가 잠재적으로 가지고 있는 막대한 병렬성을 이용해서 NP-완전 문제들을 해결하고자 하는 연구들이 땀이 진행되고 있다. 그러나 아직 실제 생체 분자의 특성을 잘 반영하는 계산 모델이나 분자 생물학에서 사용하는 연산들이 많이 개발되지 알아 계산 효율이 비교적 좋지 않다. 따라서 본 논문에서는 외판원 문제를 해결하기 위한 DAN컴퓨팅의 새로운 중합 효소 연쇄 반응(Polymerase Chain Reaction, PCR) 연산을 개발하였다.

• 경영과학
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• 제17권2호
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• pp.87-95
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• 2000

This paper presents two analytical approaches to determine the vehicle fleet size for container shuttle service. The shuttle service can be defined as the repetitive travel between the designated places during working period. In the first approach, the transportation model is adopted in order to determine the number of vehicles required. Its advantages and disadvantages in practical application are also discussed. In the second approach, a logical network which is oriented on job is transformed from a physical network which is focused on demand site. Nodes on the logical network represent jobs which include loaded travel, loading and unloading and arcs represent empty travel for the next jobs which include loaded travel, loading and unloading and arcs represent empty travel for the next job. Then a mathematical formulation is constructed similar to the multiple traveling salesman problem (TSP). A solution procedure is carried out based on the well-known insertion heuristic with the real world data.

• Management Science and Financial Engineering
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• 제7권2호
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• pp.1-11
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• 2001

Gouveia and Pires (European Journal of Operations Research 112(1999) 134-146) have proposed four extended formulations having precedence variables as extra variables and characterized the projections of three of the four formulations into the natural variable space. In Gouveia and Pires (Discrete Applied Mathematics 112 (2001)), they also have introduced some other extended formulations with the same extra variables and conjectured that the projection of one of the proposed formulations is equivalent to the one proposed by Dantzig, Fulkerson, and Johnson (Operations Research 2(1954) 393-410). In this paper, we provide a unifying framework based on which we give alternative proofs on the projections of three extended formulations and new proofs on those of two formulations appeared in Gouveia and Pires(1999, 2001).

• 산업공학
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• 제10권1호
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• pp.223-235
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• 1997

The process of determining the optimal tool path in PCB(printed circuit board) drilling operations is identical with that of solving a TSP(traveling salesman problem). However, the optimal solution will be ruined when a drill bit needs tracking back in its tool paths. The back tracking occurrences shorten a life of the main spindle and result in inaccurate mechanical movements. In this study, the performances of four heuristics(Nearest Neighbor, Convex Hull, Greatest Angle and Most Eccentric Ellipse) are evaluated to obtain feasible tool paths along with less number of back trackings for a large number of holes(more than 2000holes/bit) and to generate corresponding NC codes for a given CNC drill. Also, the operations of these algorithms are visualized to show a user the graphic image of tool visitation with PCB holes on a computer screen.

• 대한산업공학회지
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• 제22권2호
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• pp.255-263
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• 1996

Optical fiber systems play an essential role In today's telecommunications networks. The recently standardized SONET technology has made a ring structure the preferred architecture for inter-city communication networks. In designing a SONET with ring structure, we consider inserting optional cites, which are not necessary in constructing the SONET, but cost-effective in connecting essential nodes in the ring. This problem is modeled as Steiner ring problem. Efficient heuristic procedures are developed based on the procedures for the traveling salesman problem. Computational results show that the proposed algorithm is excellent compared to the optimal solution. The error bound by the proposed method is 2 - 6% in experimented problems.

• International Journal of Aeronautical and Space Sciences
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• 제18권4호
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• pp.767-779
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• 2017

Automated mission planning for unmanned aerial vehicles (UAVs) is difficult because of the propagation of several sources of error into the solution, as for any large scale autonomous system. To ensure reliable system performance, we quantify all sources of error and their propagation through a mission planner for operation of UAVs in an obstacle rich environment we developed in prior work. In this sequel to that work, we show that the mission planner developed before can be made robust to errors arising from the mapping, sensing, actuation, and environmental disturbances through creating systematic buffers around obstacles using the calculations of uncertainty propagation. This robustness makes the mission planner truly autonomous and scalable to many UAVs without human intervention. We illustrate with simulation results for trajectory generation of multiple UAVs in a surveillance problem in an urban environment while optimizing for either maximal flight time or minimal fuel consumption. Our solution methods are suitable for any well-mapped region, and the final collision free paths are obtained through offline sub-optimal solution of an mTSP (multiple traveling salesman problem).

• 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.

• 산업경영시스템학회지
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• 제35권1호
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• pp.140-147
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• 2012

Vehicle routing problem is one of the traveling salesman problems with various conditions such as vehicle capacity limits, delivery time windows, as well as time dependent speeds in metropolitan area. In this research hourly vehicle moving speeds information in a typical metropolitan area are analyzed to use the results in the design procedure of VRP heuristic. Quality initial vehicle routing solutions can be obtained with adaption of the analysed results of the time periods with no vehicle speed changes. This strategy makes complicated time dependent vehicle speed simple to solve. Time dependent vehicle speeds are too important to ignore to obtain optimum vehicle routing search for real life logistics systems.