• Title/Summary/Keyword: Minimum Spanning Tree Algorithm

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A New Over-the-Cell Routing System (새로운 Over-the-Cell 배선시스템)

  • Lee, Seung-Ho;Chong, Jong-Wha
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.11
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    • pp.135-143
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    • 1990
  • A new over-the-cell routing system is proposed in this paper. The proposed system efficiently reduces not only the channel density but also the routing density in cell region. Generally, the over-the-cell system consists of three phases. Namely, over-the-cell routing, terminal selection and channel routing. In this paper, to select the nets to be routed over the cells, weights are assigned on the intersection graph considering both the channel density and the intersection relations among other nets. When selected nets are blocked by feedthroughs or metal layers for internal logic, they are routed by maze algorithm. Also, in order to reduce channel density, the terminals to be routed in a channel are selected using the minimum weight spanning tree. Channel routing is carried out with a channel router of HAN-LACAD_G. The effectiveness of the over-the-cell routing system is shown by the experiments with benchmark data and its application to the gate array layout system.

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Single-View Reconstruction of a Manhattan World from Line Segments

  • Lee, Suwon;Seo, Yong-Ho
    • International journal of advanced smart convergence
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    • v.11 no.1
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    • pp.1-10
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    • 2022
  • Single-view reconstruction (SVR) is a fundamental method in computer vision. Often used for reconstructing human-made environments, the Manhattan world assumption presumes that planes in the real world exist in mutually orthogonal directions. Accordingly, this paper addresses an automatic SVR algorithm for Manhattan worlds. A method for estimating the directions of planes using graph-cut optimization is proposed. After segmenting an image from extracted line segments, the data cost function and smoothness cost function for graph-cut optimization are defined by considering the directions of the line segments and neighborhood segments. Furthermore, segments with the same depths are grouped during a depth-estimation step using a minimum spanning tree algorithm with the proposed weights. Experimental results demonstrate that, unlike previous methods, the proposed method can identify complex Manhattan structures of indoor and outdoor scenes and provide the exact boundaries and intersections of planes.

Efficient Multicast Tree Algorithm for Acceptable Delay and Minimum Delay Variation (지연시간 한계의 만족과 효율적인 최소 지연변이 멀티캐스트 트리 생성 알고리즘)

  • Kim Moon-Seong;Choo Hyun-Seung;Lee Young-Ro
    • The KIPS Transactions:PartC
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    • v.12C no.1 s.97
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    • pp.105-110
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    • 2005
  • With the proliferation of multimedia group applications, the construction of multicast trees satisfying QoS requirements is becoming a problem of prime importance. In this paper, we study the delay- and delay variation-bounded multicast tree (DVBMT) problem which is NP-complete. The problem is to construct a spanning tree for destination node, which has the minimized multicast delay variation, and the delay on the path from the source to each destination is bounded. A solution to this problem is required to provide decent real-time communication services such as on-line games, shopping, and teleconferencing. Performance comparison shows that the proposed scheme outperforms DDVCA which is known to be effective so far in any network topology. The enhancement is up to about $3.6{\%}{\~}11.1{\%}$ in terms of normalized surcharge for DUVCA. The time complexity of our algorithm is $O(mn^2)$.

A Searching Technique of the Weak Connectivity Boundary using Small Unmanned Aerial Vehicle in Wireless Tactical Data Networks (무선 전술 데이터 네트워크에서 소형 무안항공기를 이용한 연결성 약화 지역 탐색 기법)

  • Li, Jin;Song, Ju-Bin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37 no.1C
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    • pp.89-96
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    • 2012
  • Since tactical robots are going to be grown and tactical data communications will be more network-centric, the reliability of wireless tactical data networks is going to be very important in the future. However, the connectivity of such wireless tactical data networks can be extremely uncertain in practical circumstances. In this paper, we propose a searching technique to find out the weak boundary area of the network connectivity using a small UAV(unmanned aerial vehicle) which has a simple polling access function to wireless nodes on the ground in wireless tactical data networks. The UA V calculates the network topology of the wireless tactical data networks and coverts it to the Lapalcian matrix. In the proposed algorithm, we iteratively search the eigenvalues and find a minimum cut in the network resulting in finding the weak boundary of the connectivity for the wireless tactical data networks. If a UAV works as a relay nodes for the weak area, we evaluate that the throughput performance of the proposed algorithm outperforms star connection method and MST(minimum Spanning Tree) connection method. The proposed algorithm can be applied for recovering the connectivity of wireless tactical data networks.

Energy-Efficient Topology Construction Algorithm for Wireless Sensor Networks (무선 센서 네트워크를 위한 에너지 효율적인 토폴로지 구성 알고리즘)

  • Roh Tae-Ho;Choi Woong-Chul;Rhee Seung-Hyong;Chung Kwang-Sue
    • Proceedings of the Korean Information Science Society Conference
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    • 2006.06d
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    • pp.40-42
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    • 2006
  • 무선 센서 네트워크는 제한된 배터리를 갖는 노드로 토폴로지를 구성한다. 이러한 이유 때문에 전체 네트워크의 수명을 극대화하고 라우팅에 에너지 효율성을 고려하여 토폴로지를 구성하는 것이 중요하다. 네트워크 토폴로지는 전송범위에 의해 결정되며 노드의 고정된 전송범위로 인한 에너지 비효율성 문제를 해결하는 방법으로 최적의 전송범위 혹은 MST(Minimum Spanning Tree)기반으로 토폴로지를 구성하는 대안이 있지만 최적의 솔루션은 아니다. 본 논문에서는 단계에 따라 전송범위를 차별화시켜 라우팅을 수행하는 DR(Differential Routing)을 제안하였다. DR은 전송범위에 기반하여 최적의 토폴로지를 구성한다. 그리고 무선 센서 네트워크의 특정한 통신 패턴에 맞게 트리 구성 단계와 데이터 수집 단계의 전송범위를 차별화시켜 전송파워를 조절함으로써 전체 네트워크의 수명 극대화, 파티션 방지, 그리고 에너지 효율성을 향상시킨 알고리즘이다. 실험을 통해 제안한 DR이 최적의 토폴로지를 구성하여 에너지 효율성 측면에서 좋은 성능을 보임을 확인할 수 있었다.

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Optimal Design of Centralized Computer Networks - The Terminal Layout Problem and A Dual-based Procedure - (중앙집중식 전산망의 경제적 설계 -단말기 배치문제와 쌍대기반 해법-)

  • 김형욱;노형봉;지원철
    • Journal of the Korean Operations Research and Management Science Society
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    • v.14 no.1
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    • pp.16-26
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    • 1989
  • The terminal layout problem is fundamental in may centralized computer networks, which is generated formulated as the capaciated minimum spanning tree problem (CMSTP). We present an implementation of the dual-based procedure to solve the CMSTP. Dual ascent procedure generates a good feasible solutions to the dual of the linear programming relaxation of CMSTP. A feasible primal solution to CMSTP can then be constructed based on this dual solution. This procedure can be used either as a stand-alone heuristic or, else, it can be incorporated into a branch and bound algorithm. A numerical result is given with quite favorable results.

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A Distributed Algorithm for Maintaining a Minimum Spanning Tree in Dynamic Network (동적 네트워크에서 최소 신장 트리를 유지하는 분산 알고리즘)

  • 김형식;좌경룡
    • Proceedings of the Korean Information Science Society Conference
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    • 2001.04a
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    • pp.739-741
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    • 2001
  • 본 논문은 동적 네트워크에서 최소 신장 트리를 유지하는 문제에 대한 알고리즘을 제안한다. 동적 네트워크란 새로운 간선이 추가되거나 기존의 간선이 삭제 가능한 네트워크를 의미한다. 최소 신장 트리를 찾는 이전의 분산 알고리즘은 동적 변화를 고려하지 않거나 혹은 별도의 자료 구조를 이용하였다. 제안한 알고리즘은 간선의 변화에 대응하여 인접한 노드들에게 변화를 알리고 서로 협력하여 최소 신장 트리를 찾는다 네트워크 G의 전체 노드의 수를 N, 전체 간선의 수를 E, 찾은 최소 신장 트리의 지름을 D라고 할 때, K개의 간선 추가와 삭제에 대하여 각각 min{0(kI)+O(N), O(N log N+E)}와 O(N log k+E)의 메시지 복잡도를 갖는다. 또한 각 경우에 대한 하한 비용을 증명하였다.

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Path Algorithm for Maximum Tax-Relief in Maximum Profit Tax Problem of Multinational Corporation (다국적기업 최대이익 세금트리 문제의 최대 세금경감 경로 알고리즘)

  • Sang-Un Lee
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.23 no.4
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    • pp.157-164
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    • 2023
  • This paper suggests O(n2) polynomial time heuristic algorithm for corporate tax structure optimization problem that has been classified as NP-complete problem. The proposed algorithm constructs tax tree levels that the target holding company is located at root node of Level 1, and the tax code categories(Te) 1,4,3,2 are located in each level 2,3,4,5 sequentially. To find the maximum tax-relief path from source(S) to target(T), firstly we connect the minimum witholding tax rate minrw(u, v) arc of node u point of view for transfer the profit from u to v node. As a result we construct the spanning tree from all of the source nodes to a target node, and find the initial feasible solution. Nextly, we find the alternate path with minimum foreign tax rate minrfi(u, v) of v point of view. Finally we choose the minimum tax-relief path from of this two paths. The proposed heuristic algorithm performs better optimal results than linear programming and Tabu search method that is a kind of metaheuristic method.

Optimal Path Planning of a Tractor-implement for Precision Farming (정밀농업을 위한 트랙터-작업기의 최적 경로계획)

  • 정선옥;박우풍;장영창;여운영
    • Journal of Biosystems Engineering
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    • v.24 no.4
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    • pp.301-308
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    • 1999
  • Path planning for field operation of agricultural machinery is an indispensible part for precision farming or autonomous field operation. In this study, two algorithms (I, II) of generating a time-based shortest operation path were suggested to plan an optimal operation of an agricultural tractor-implement in a rectangular shaped field. The algorithms were based on modification of a minimum spanning tree algorithm, and applied for tractor-implement operations. the generated path was consisted of round operation and returning operation sections. The number of round operation was determined from the condition that a tractor can turn smoothly at headlands. The performance of the algorithms was evaluated by the calculation number for path generation and the total path length generated. Their stability was affected by the number of returning operation, but the algorithm II was considered to be more stable. In addition, the performances of the developed algorithms were compared with those of the conventional field operations at selected field sizes and shapes. The results showed that the algorithms could reduce field operation time greatly. For a 100m$\times$40m field, the reduced path length was 78m. The study also included an user interface program for implementing the algorithms and generating GPS coordinates that could be used in GIS softwares for precision farming.

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Resilient Routing Overlay Network Construction with Super-Relay Nodes

  • Tian, Shengwen;Liao, Jianxin;Li, Tonghong;Wang, Jingyu;Cui, Guanghai
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.4
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    • pp.1911-1930
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    • 2017
  • Overlay routing has emerged as a promising approach to improve reliability and efficiency of the Internet. The key to overlay routing is the placement and maintenance of the overlay infrastructure, especially, the selection and placement of key relay nodes. Spurred by the observation that a few relay nodes with high betweenness centrality can provide more optimal routes for a large number of node pairs, we propose a resilient routing overlay network construction method by introducing Super-Relay nodes. In detail, we present the K-Minimum Spanning Tree with Super-Relay nodes algorithm (SR-KMST), in which we focus on the selection and connection of Super-Relay nodes to optimize the routing quality in a resilient and scalable manner. For the simultaneous path failures between the default physical path and the overlay backup path, we also address the selection of recovery path. The objective is to select a proper one-hop recovery path with minimum cost in path probing and measurement. Simulations based on a real ISP network and a synthetic Internet topology show that our approach can provide high-quality overlay routing service, while achieving good robustness.