• Title/Summary/Keyword: Salesman problem

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Truss Size Optimization with Frequency Constraints using ACO Algorithm (개미군락 최적화 알고리즘을 이용한 진동수 구속조건을 가진 트러스구조물의 크기최적화)

  • Lee, Sang-Jin;Bae, Jungeun
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.35 no.10
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    • pp.135-142
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    • 2019
  • Ant colony optimization(ACO) technique is utilized in truss size optimization with frequency constraints. Total weight of truss to be minimized is considered as the objective function and multiple natural frequencies are adopted as constraints. The modified traveling salesman problem(TSP) is adopted and total length of the TSP tour is interpreted as the weight of the structure. The present ACO-based design optimization procedure uses discrete design variables and the penalty function is introduced to enforce design constraints during optimization process. Three numerical examples are carried out to verify the capability of ACO in truss optimization with frequency constraints. From numerical results, the present ACO is a very effective way of finding optimum design of truss structures in free vibration. Finally, we provide the present numerical results as future reference solutions.

Ground Vehicle and Drone Collaborative Delivery Planning using Genetic Algorithm

  • Song, Kyowon;Moon, Jung-Ho
    • Journal of Aerospace System Engineering
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    • v.14 no.6
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    • pp.1-9
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    • 2020
  • Global e-commerce and delivery companies are actively pursuing last-mile delivery service using drones, and various delivery schedule planning studies have been conducted. In this study, separate individual route networks were constructed to reflect drone route constraints such as prohibited airspace and truck route constraints such as rivers, which previous studies did not incorporate. The A* algorithm was used to calculate the shortest path distance matrix between the starting point and destinations. In addition, we proposed an optimal delivery schedule plan using genetic algorithms and applied it to compare the efficiency with that of vehicle-only delivery.

Implementation of a parallel traversal scheme for O(n!) search space exploiting cost constraint (비용 제약조건을 이용한 병렬 O(n!) 서치 스페이스 탐색 기법의 구현)

  • Lee, Junghoon
    • Proceedings of the Korea Information Processing Society Conference
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    • 2010.11a
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    • pp.1501-1502
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    • 2010
  • DualCore 혹은 MultiCore 플랫폼의 보급에 따라 높은 시간복잡도를 갖는 응용들도 사용자의 컴퓨터나 단말에서 수행되어 다양한 서비스를 제공할 수 있게 되었다. 본 논문에서는 관광 스케줄을 효율적으로 결정하기 위한 다중목적지 방문 문제에 대해 이중 쓰레드에 기반한 서치 스페이스 탐색 알고리즘을 구현한다. 이는 Traveling Salesman Problem의 한 종류로서 O(n!) 시간 복잡도를 갖고 있으며 검색시의 독립성때문에 각 쓰레드는 병렬적으로 최적의 스케줄을 탐색할 수 있다. 또 현재까지 발견된 최적값을 기반으로 부분 경로의 비용이 이미 최적값을 넘는 경우는 하위 탐색을 제거하여 상당한 성능의 향상을 가져온다. 2.4 GHz Intel(R) Core DuoCPU와 3 GB 메모리로 구성된 플랫폼 상에서 구현된 서비스는 11개의 목적지에 대한 방문 스케줄을 생성함에 있어서 단일 쓰레드 버전은 14.196초, 이중 쓰레드 버전은 6.411초, 제약조건을 포함한 이중 쓰레드 버전은 0.14초에 최적의 스케줄을 찾아낼 수 있다.

Determining a Parcel Delivery Route with RFID technology using TSP Algorithm (TSP 알고리즘을 이용한 RFID 택배 배송 경로 설정)

  • Sang-Yoon Kim;Jae-Bong Yoo;Beom-Jeong Yoo;ChanYoung Park
    • Proceedings of the Korea Information Processing Society Conference
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    • 2008.11a
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    • pp.1352-1354
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    • 2008
  • 2008년 7월 인터넷 기사에 "살인적 노동, 택배 배송직원의 하루"라는 글이 올라왔다. 하루 16시간을 뛰어 다녀야 하는 배송직원들은 자신이 배달하는 지역별로 차에 물건을 싣는 동시에 배송지역을 지도로 확인하는 작업까지 해야 한다. 그리고 배달경로 설정 또한 전적으로 그 지역 배송직원의 개인적인 노하우에 의존하여 이루어진다는 것이다. 본 연구에서는 물건의 배송정보가 RFID에 저장이 되어있다는 가정하에 지리정보시스템과 TSP(Traveling salesman problem)을 이용하여 차에 실려있는 물건의 배송지역을 디스플레이해주고 다수의 경유지를 최소 거리와 최소 시간에 방문할 수 있는 시스템을 제안한다.

Path coordinator by the modified genetic algorithm

  • Chung, C.H.;Lee, K.S.
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1939-1943
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    • 1991
  • Path planning is an important task for optimal motion of a robot in structured or unstructured environment. The goal of this paper is to plan the shortest collision-free path in 3D, when a robot is navigated to pick up some tools or to repair some parts from various locations. To accomplish the goal of this paper, the Path Coordinator is proposed to have the capabilities of an obstacle avoidance strategy[3] and a traveling salesman problem strategy(TSP)[23]. The obstacle avoidance strategy is to plan the shortest collision-free path between each pair of n locations in 2D or in 3D. The TSP strategy is to compute a minimal system cost of a tour that is defined as a closed path navigating each location exactly once. The TSP strategy can be implemented by the Neural Network. The obstacle avoidance strategy in 2D can be implemented by the VGraph Algorithm. However, the VGraph Algorithm is not useful in 3D, because it can't compute the global optimality in 3D. Thus, the Path Coordinator is proposed to solve this problem, having the capabilities of selecting the optimal edges by the modified Genetic Algorithm[21] and computing the optimal nodes along the optimal edges by the Recursive Compensation Algorithm[5].

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Robot Arc Welding Task Sequencing using Genetic Algorithms (유전 알고리즘을 이용한 로봇 아크 용접작업)

  • Kim, Dong-Won;Kim, Kyoung-Yun
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.1 s.94
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    • pp.49-60
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    • 1999
  • This paper addresses a welding task sequencing for robot arc welding process planning. Although welding task sequencing is an essential step in the welding process planning, it has not been considered through a systematic approach, but it depends rather on empirical knowledge. Thus, an effective task sequencing for robot arc welding is required. Welding perations can be classified by the number of welding robots. Genetic algorithms are applied to tackle those welding task sequencing problems. A genetic algorithm for traveling salesman problem (TSP) is utilized to determine welding task sequencing for a MultiWeldline-SingleLayer problem. Further, welding task sequencing for multiWeldline-MultiLayer welding is investigated and appropriate genetic algorithms are introduced. A random key genetic algorithm is also proposed to solve multi-robot welding sequencing : MultiWeldline with multi robots. Finally, the genetic algorithm are implemented for the welding task sequencing of three dimensional weld plate assemblies. Robot welding operations conforming to the algorithms are simulated in graphic detail using a robot simulation software IGRIP.

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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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Recursive compensation algorithm application to the optimal edge selection

  • Chung, C.H.;Lee, K.S.
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.79-84
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    • 1992
  • Path planning is an important task for optimal motion of a robot in structured or unstructured environment. The goal of this paper is to plan the optimal collision-free path in 3D, when a robot is navigated to pick up some tools or to repair some parts from various locations. To accomplish the goal, the Path Coordinator is proposed to have the capabilities of an obstacle avoidance strategy and a traveling salesman problem strategy (TSP). The obstacle avoidance strategy is to plan the shortest collision-free path between each pair of n locations in 2D or in 3D. The TSP strategy is to compute a minimal system cost of a tour that is defined as a closed path navigating each location exactly once. The TSP strategy can be implemented by the Hopfield Network. The obstacle avoidance strategy in 2D can be implemented by the VGraph Algorithm. However, the VGraph Algorithm is not useful in 3D, because it can't compute the global optimality in 3D. Thus, the Path Coordinator is used to solve this problem, having the capabilities of selecting the optimal edges by the modified Genetic Algorithm and computing the optimal nodes along the optimal edges by the Recursive Compensation Algorithm.

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Minimum time path planning of robotic manipulator in drilling/spot welding tasks

  • Zhang, Qiang;Zhao, Ming-Yong
    • Journal of Computational Design and Engineering
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    • v.3 no.2
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    • pp.132-139
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    • 2016
  • In this paper, a minimum time path planning strategy is proposed for multi points manufacturing problems in drilling/spot welding tasks. By optimizing the travelling schedule of the set points and the detailed transfer path between points, the minimum time manufacturing task is realized under fully utilizing the dynamic performance of robotic manipulator. According to the start-stop movement in drilling/spot welding task, the path planning problem can be converted into a traveling salesman problem (TSP) and a series of point to point minimum time transfer path planning problems. Cubic Hermite interpolation polynomial is used to parameterize the transfer path and then the path parameters are optimized to obtain minimum point to point transfer time. A new TSP with minimum time index is constructed by using point-point transfer time as the TSP parameter. The classical genetic algorithm (GA) is applied to obtain the optimal travelling schedule. Several minimum time drilling tasks of a 3-DOF robotic manipulator are used as examples to demonstrate the effectiveness of the proposed approach.

An Efficient Vehicle Routing Heuristic for Various and Unsymmetric Forward and Backward Vehicle Moving Speed (왕복비대칭 가변이동속도에서의 효율적 배송차량경로 탐색해법 연구)

  • Moon, Geeju;Park, Sungmee
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.36 no.3
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    • pp.71-78
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    • 2013
  • An efficient vehicle routing heuristic for different vehicle moving times for forward and backward between two points is studied in this research. Symmetric distance or moving times are assumed to move back and forth between two points in general, but it is not true in reality. Also, various moving speeds along time zones are considered such as the moving time differences between rush hours or not busy daytimes. To solve this type of extremely complicated combinatorial optimization problems, delivery zones are specified and delivery orders are determined for promising results on the first stage. Then delivery orders in each zone are determined to be connected with other zones for a tentative complete delivery route. Improvement steps are followed to get an effective delivery route for unsymmetric-time-varing vehicle moving speed problems. Performance evaluations are done to show the effectiveness of the suggested heuristic using computer programs specially designed and developed using C++.