• Title/Summary/Keyword: Traveling Salesman Problem (TSP)

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Optimal Algorithm of Path in the Part-Matching Process (부품 조립 공정에서 경로의 최적화 알고리즘)

  • Oh, Je-Hui;Cha, Young-Youp
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.8
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    • pp.122-129
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    • 1997
  • In this paper, we propose a Hopfield model for solving the part-matching in case that is the number of parts and positions are changed. The goal of this paper is to minimize part-connection in pairs and total path of part-connections. Therefore, this kind of problem is referred to as a combinatiorial optimization problem. First of all, we review the theoretical basis for Hopfield model and present two optimal algorithms of part-matching. The first algorithm is Traveling Salesman Problem(TSP) which improved the original and the second algorithm is Wdighted Matching Problem (WMP). Finally, we show demonstration through com- puter simulation and analyze the stability and feasibility of the generated solutions for the proposed con- nection methods. Therefore, we prove that the second algorithm is better than the first algorithm.

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Application of Ant System Algorithm on Parcels Delivery Service in Korea (국내택배시스템에 개미시스템 알고리즘의 적용가능성 검토)

  • Jo, Wan-Kyung;Rhee, Jong-Ho
    • Journal of Korean Society of Transportation
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    • v.23 no.4 s.82
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    • pp.81-91
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    • 2005
  • The Traveling Salesman Problem(TSP) is one of the NP-complete (None-deterministic Polynomial time complete) route optimization problems. Its calculation time increases very rapidly as the number of nodes does. Therefore, the near optimum solution has been searched by heuristic algorithms rather than the real optimum has. This paper reviews the Ant System Algorithm(ANS), an heuristic algorithm of TSP and its applicability in the parcel delivery service in Korea. ASA, which is an heuristic algorithm of NP-complete has been studied by M. Dorigo in the early 1990. ASA finds the optimum route by the probabilistic method based on the cumulated pheromone on the links by ants. ASA has been known as one of the efficient heuristic algorithms in terms of its calculation time and result. Its applications have been expanded to vehicle routing problems, network management and highway alignment planning. The precise criteria for vehicle routing has not been set up in the parcel delivery service of Korea. Vehicle routing has been determined by the vehicle deriver himself or herself. In this paper the applicability of ASA to the parcel delivery service has been reviewed. When the driver s vehicle routing is assumed to follow the Nearest Neighbor Algorithm (NNA) with 20 nodes (pick-up and drop-off places) in $10Km{\times}10Km$ service area, his or her decision was compared with ASA's one. Also, ASA showed better results than NNA as the number of nodes increases from 10 to 200. If ASA is applied, the transport cost savings could be expected in the parcel delivery service in Korea.

Design and Implementation of Genegtic Algorithm Simulation System for A Path Finding (유전자 알고리즘을 이용한 경로찾기 시뮬레이션 시스템 설계 및 구현)

  • Kang, Myung-Ju;Park, Kwang-Yong
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2010.07a
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    • pp.103-107
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    • 2010
  • 게임이나 네비게이션 시스템, 관광경로 설계에 있어서 경로찾기는 매우 중요한 부분 중의 하나이다. 일반적으로 TSP(Traveling Salesman Problem), RPP(Rural Postman Problem), CPP(Chinese Postman Problem)와 같은 경로찾기 문제들은 일반적인 알고리즘으로 최적해를 구할 수 없다. 문제크기가 커질수록 해집합이 폭발적으로 커짐으로써 전체 해집합을 탐색하는데 많은 비용이 든다. 따라서, 이러한 문제들은 유전알고리즘이나 Simulated Annealing과 같은 휴리스틱 알고리즘을 이용하여 근사최적 경로를 찾는다. 본 논문에서는 이와 같은 경로찾기 문제의 근사 최적해를 구하기 위한 시뮬레이션 시스템을 설계하고 구현하였다. 본 연구에서 구현한 시뮬레이션 시스템에는 유전알고리즘 엔진(GA 엔진)과 사용자 인터페이스를 제공한다. 사용자 인터페이스는 유전알고리즘에 사용될 파라미터를 설정하는 부분이며, GA 엔진은 유전알고리즘의 연산자들을 제공하는 부분이다. 본 논문에서 구현한 시뮬레이션 시스템은 게임과 같은 경로찾기 등에 활용될 수 있다.

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The Effect of Multiagent Interaction Strategy on the Performance of Ant Model (개미 모델 성능에서 다중 에이전트 상호작용 전략의 효과)

  • Lee Seung-Gwan
    • The Journal of the Korea Contents Association
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    • v.5 no.3
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    • pp.193-199
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    • 2005
  • One of the important fields for heuristics algorithm is how to balance between Intensificationand Diversification. Ant Colony System(ACS) is a new meta heuristics algorithm to solve hard combinatorial optimization problem. It is a population based approach that uses exploitation of positive feedback as well as greedy search. It was first proposed for tackling the well known Traveling Salesman Problem(TSP). In this paper, we propose Multi Colony Interaction Ant Model that achieves positive negative interaction through elite strategy divided by intensification strategy and diversification strategy to improve the performance of original ACS. And, we apply multi colony interaction ant model by this proposed elite strategy to TSP and compares with original ACS method for the performance.

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Automatic Generation of Assembly Sequences (조립순서의 자동생성에 관한 연구)

  • Son, Kyoung-Joon;Jung, Moo-Young
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.1
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    • pp.1-17
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    • 1993
  • It is well known that an assembly operation is usually constrained by the geometric interference between parts. These constraints are normally presented as AND/OR precedence relationships. To find a feasible assembly sequence which satisfies the geometric constraints is not an easy task because of the TSP(Traveling Salesman Problem) nature with precedence constraints. In this paper, we developed an automated system based on Neural Network for generating feasible assembly sequences. Modified Hopfield and Tank network is used to solve the problem of AND/OR precedence-constrained assembly sequences. An economic assembly sequence can be also obtained by applying the cost matrix that contains cost-reducing factors. To evaluate the performance and effectiveness of the developed system, a case of automobile generator is tested. The results show that the developed system can provide a "good" planning tool for an assembly planner within a reasonable computation time period.

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Design and Implementation of Search System Using Domain Ontology (도메인 온톨로지를 이용한 검색 시스템 설계 및 구현)

  • Kang, Rae-Goo;Jung, Chai-Yeoung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.7
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    • pp.1318-1324
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    • 2007
  • TSP(Traveling Salesman Problem) is a problem finding out the shortest distance out of many courses where given cities of the number of N, one starts a certain city and turns back to a starting city, visiting every city only once. As the number of cities having visited increases, the calculation rate increases geometrically. This problem makes TSP classified in NP-Hard Problem and genetic algorithm is used representatively. To obtain a better result in TSP, various operators have been developed and studied. This paper suggests new method of population initialization and of sequential transformation, and then proves the improvement of capability by comparing them with existing methods.

On-Machine Measurement of Sculptured Surfaces Based on CAD/CAM/CAI Integration : II. Inspection Planning Strategy (CAD/CAM/CAI 통합에 기초한 자유곡면의 On-Machine Measurement : II. 측정계획 수립)

  • Cho, Myeong-Woo;Kim, Jin-Seop;Seo, Tae-Il;Cho, Jae-H.
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.109-118
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    • 1999
  • The objective of this research is to develop an effective inspection planning strategy for sculpture surfaces in OMM(On-Machine Measurement) process. As a first step, effective measuring point locations are determined to obtain optimum results for given sampling numbers. Two measuring point selection methods are suggested in this study based on newly proposed CAD/CAM/CAI integration concept: (1) by the prediction of cutting errors, (2) by considering cutter contact points to avoid the measurement errors caused by cusps. As a next step, the TSP(Traveling Salesman Problem)algorithm is applied to minimize the probe moving distance. Appropriate simulations and experiments are performed to verify the proposed inspection planning strategy in this study, and the results are analyzed.

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PCR of DNA Computing for the TSP (외판원 문제를 위한 DNA 컴퓨팅의 PCR 연산)

  • Kim, Jung-Sook
    • Proceedings of the Korea Information Processing Society Conference
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    • 2001.10b
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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.

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Determination of Vehicle Fleet Size for Container Shuttle Service (컨테이너 셔틀운송을 위한 차량 대수 결정)

  • 고창성;정기호;신재영
    • Korean Management Science Review
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    • v.17 no.2
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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.

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Evaluation of Tool Paths and NC Codes Generation for PCB Drilling Operations (PCB 홀 천공순서의 평가 및 NC 코드의 생성)

  • Choi, Hoo-Gon;Lee, Ho-Chan;Seo, Jun-Sung
    • IE interfaces
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    • v.10 no.1
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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.

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