• Title/Summary/Keyword: Shortest Path Algorithm

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A Heuristic Algorithm to Find the Critical Path Minimizing the Maximal Regret (최대후회 최소화 임계 경로 탐색 알고리듬)

  • Kang, Jun-Gyu;Yoon, Hyoup-Sang
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.34 no.3
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    • pp.90-96
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    • 2011
  • Finding the critical path (or the longest path) on acyclic directed graphs, which is well-known as PERT/CPM, the ambiguity of each acr's length can be modeled as a range or an interval, in which the actual length of arc may realize. In this case, the min-max regret criterion, which is widely used in the decision making under uncertainty, can be applied to find the critical path minimizing the maximum regret in the worst case. Since the min-max regret critical path problem with the interval arc's lengths is known as NP-hard, this paper proposes a heuristic algorithm to diminish the maximum regret. Then the computational experiments shows the proposed algorithm contributes to the improvement of solution compared with the existing heuristic algorithms.

Multi-constrained Shortest Disjoint Paths for Reliable QoS Routing

  • Xiong, Ke;Qiu, Zheng-Ding;Guo, Yuchun;Zhang, Hongke
    • ETRI Journal
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    • v.31 no.5
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    • pp.534-544
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    • 2009
  • Finding link-disjoint or node-disjoint paths under multiple constraints is an effective way to improve network QoS ability, reliability, and so on. However, existing algorithms for such scheme cannot ensure a feasible solution for arbitrary networks. We propose design principles of an algorithm to fill this gap, which we arrive at by analyzing the properties of optimal solutions for the multi-constrained link-disjoint path pair problem. Based on this, we propose the link-disjoint optimal multi-constrained paths algorithm (LIDOMPA), to find the shortest link-disjoint path pair for any network. Three concepts, namely, the candidate optimal solution, the contractive constraint vector, and structure-aware non-dominance, are introduced to reduce its search space without loss of exactness. Extensive simulations show that LIDOMPA outperforms existing schemes and achieves acceptable complexity. Moreover, LIDOMPA is extended to the node-disjoint optimal multi-constrained paths algorithm (NODOMPA) for the multi-constrained node-disjoint path pair problem.

ANGLE CORRECTION FOR FIVE-AXIS MILLING NEAR SINGULARITIES

  • Munlin, M.;Makhanov, S.S.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.869-874
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    • 2004
  • The inverse kinematics of five-axis milling machines produce large errors near stationary points of the required surface. When the tool travels cross or around the point the rotation angles may jump considerably leading to unexpected deviations from the prescribed trajectories. We propose three new algorithms to repair the trajectories by adjusting the rotation angles in such a way that the kinematics error is minimized. Given the tool orientations and the inverse kinematics of the machine, we first eliminate the jumping angles exceeding ${\pi}$ by using the angle adjustment algorithm, leaving the jumps less than ${\pi}$ to be further optimized. Next, we propose to apply an angle switching algorithm to compute the rotations and identify an optimized sequence of rotations by the shortest path scheme. Further error reduction is accomplished by the angle insertion algorithm based an o special interpolation to obtain the required rotations near the singularity. We have verified the algorithms by five-axis milling machines, namely, MAHO600E at the CIM Lab of Asian Institute of Technology and HERMLE UWF902H at the CIM Lab of Kasetsart University.

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Optimal Solution Algorithm for Delivery Problem on Graphs

  • Lee, Kwang-Eui
    • Journal of the Korea Society of Computer and Information
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    • v.26 no.3
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    • pp.111-117
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    • 2021
  • The delivery problem on a graph is that of minimizing the object delivery time from one vertex to another vertex on a graph with m vertices using n various speed robot agents. In this paper, we propose two optimal solution algorithms for the delivery problem on a graph with time complexity of O(㎥n) and O(㎥). After preprocessing to obtain the shortest path for all pairs of the graph, our algorithm processed by obtaining the shortest delivery path in the order of the vertices with the least delivery time. Assuming that the graph reflects the terrain on which to solve the problem, our O(㎥) algorithm actually has a time complexity of O(㎡n) as only one preprocessing is required for the various deployment of n robot agents.

IP Multicasting Scheme in ATM Networks (ATM망에서 다중 멀티캐스팅 서버를 이용한 IP 멀티캐스팅 방안)

  • Byeon, Tae-Yeong;Jang, Seong-Sik;Han, Gi-Jun
    • Journal of KIISE:Computer Systems and Theory
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    • v.26 no.9
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    • pp.1145-1157
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    • 1999
  • 본 논문에서는 RFC 2022에서 제안한 MARS 모델을 기반으로 하여 단일 대규모 클러스터를 가지는 ATM 망에서 다중의 멀티캐스팅 서버(MCS)를 이용한 멀티캐스팅 방안을 제안하고 그 성능을 평가하였다. 클러스터 내의 한 ATM 호스트가 특정 IP 멀티캐스트 그룹에 가입할 경우 ATM 호스트의 위치와 이미 존재하는 멀티캐스팅 서버들 사이의 전송 지연을 고려하여 가능한 한 종단간 전송 지연을 최소화하는 멀티캐스팅 서버를 선택하는 방안을 기술하였다. 이 방안은 최단거리 경로 알고리즘(shortest path algorithm)에 기반하여 최적의 MCS를 선정하고 송수신자 사이의 최소 지연을 가지는 멀티캐스트 트리를 구성한다. 다양한 망 위상에서 MCS의 분포 패턴을 다르게 할 경우에도 이 방안은 멀티캐스트 트리의 평균 전달 지연을 줄이는 것을 시뮬레이션을 통하여 확인하였다.Abstract In this paper, we proposed a scheme to support multiple MCSs over a single and large cluster in ATM networks, evaluated its performance by simulation. When an ATM host requests joining into a specific multicast group, the MARS designate a proper MCS among the multiple MCSs for the group member to minimize the average path delay between the sender and the group members. This scheme constructs a multicast tree through 2-phase partial multicast tree construction based upon the shortest path algorithm.We reduced the average path delay in multicast tree using our scheme under various cluster topologies and MCS distribution scenarios.

DISTRIBUTED ALGORITHMS SOLVING THE UPDATING PROBLEMS

  • Park, Jung-Ho;Park, Yoon-Young;Choi, Sung-Hee
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.607-620
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    • 2002
  • In this paper, we consider the updating problems to reconstruct the biconnected-components and to reconstruct the weighted shortest path in response to the topology change of the network. We propose two distributed algorithms. The first algorithm solves the updating problem that reconstructs the biconnected-components after the several processors and links are added and deleted. Its bit complexity is O((n'+a+d)log n'), its message complexity is O(n'+a+d), the ideal time complexity is O(n'), and the space complexity is O(e long n+e' log n'). The second algorithm solves the updating problem that reconstructs the weighted shortest path. Its message complexity and ideal-time complexity are $O(u^2+a+n')$ respectively.

A Shortest Path Algorithm for Communication at Sensor Network (센서 네트워크에서 통신을 위한 최단 경로)

  • Lee, Hyun-Chang;Choi, Min-Hyeo;Shin, Sung-Yun;Lee, Yang-Won
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2011.01a
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    • pp.19-20
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    • 2011
  • 센서 네트워크 환경에서 데이터 통합을 위한 통신 비용은 매우 고가이다. 센서들의 물리적 제약으로 인하여 배터리의 효율적 활용과 함께 최적의 통신 처리가 요구된다. 이에 따라 센서들 사이에서 측정된 데이터가 서버측 수신기인 베이스 모트까지 도달하는데 최단 경로의 데이터 전달이 요청된다. 이를 위해 본 논문에서는 각 센서노드에서 주변의 센서 노드들까지 이르는 링크의 통신비용이 주어진 환경에서 최단 비용으로 탐색하는 알고리즘에 대해 살펴본다. 이를 통해 향상된 결과의 알고리즘을 제시하며, 이에 대한 실험 결과는 향후에 살펴보기로 한다.

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Development of Cable Management System for Ship (선박 전선 관리 시스템 개발)

  • Lee, Jae-Hyun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.11
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    • pp.1987-1992
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    • 2008
  • In recent years, the shape of ship building have been advanced. Thus the system is complex and cable is much used in ship. In this paper, Dijkstra algorithm is used to solve the shortest path of cable laying. Cable laying is given much weight in fable management system of ship. The developed cable management system is cut down on expenses and is improve the operation efficiency for ship building. Therefore, the developed cable management system can be used a support system in order to achieve a management target of company.

Development of a New Optimal Path Planning Algorithm for Mobile Robots Using the Ant Colony Optimization Method (개미 집단 최적화 기법을 이용한 이동 로봇 최적 경로 생성 알고리즘 개발)

  • Ko, Jong-Hoon;Kim, Joo-Min;Kim, Dae-Won
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1827_1828
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    • 2009
  • In this paper proposes a new algorithm for path planning using the ant colony optimization algorithm. The proposed algorithm is a new hybrid algorithm that composes of the features of the ant colony algorithm method and the Maklink graph method. At first, paths are produced for a mobile robot in a static environment, and then, the midpoints of each obstacles nodes are found using the Maklink graph method. Finally, the shortest path is selected by the ant colony optimization algorithm.

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Dynamic Path Planning for Autonomous Mobile Robots (자율이동로봇을 위한 동적 경로 계획 방법)

  • Yoon, Hee-Sang;You, Jin-Oh;Park, Tae-Hyoung
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.4
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    • pp.392-398
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    • 2008
  • We propose a new path planning method for autonomous mobile robots. To maximize the utility of mobile robots, the collision-free shortest path should be generated by on-line computation. In this paper, we develop an effective and practical method to generate a good solution by lower computation time. The initial path is obtained from skeleton graph by Dijkstra's algorithm. Then the path is improved by changing the graph and path dynamically. We apply the dynamic programming algorithm into the stage of improvement. Simulation results are presented to verify the performance of the proposed method.