• Title/Summary/Keyword: 선분 최소 스타이너 트리

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Mechanism for Connecting Input Edges Using Steiner Tree (스타이너 트리를 이용한 입력 선분의 연결)

  • Kim, Joon-Mo;Kim, In-Bum
    • The KIPS Transactions:PartA
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    • v.17A no.5
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    • pp.213-220
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    • 2010
  • In this paper, a mechanism connecting all input edges with minimum length through Steiner tree is proposed. Edges are convertible into communication lines, roads, railroads or trace of moving object. Proposed mechanism could be applied to connect these edges with minimum cost. In our experiments where input edge number and maximum connections per edge are used as input parameters, our mechanism made connection length decrease average 6.8%, while building time for a connecting solution increase average 192.0% comparing with the method using minimum spanning tree. The result shows our mechanism might be well applied to the applications where connecting cost is more important than building time for a connecting solution.

Efficient Allocation and Connection of Concentrators and Repeaters Using Approximate Steiner Minimum Tree in Automatic Meter Reading System (원격 검침 시스템에서 근사 최소 스타이너 트리를 이용한 집중기 및 중계기의 효율적인 배치와 연결)

  • Kim, Chae-Kak;Kim, In-Bum;Kim, Soo-In
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.10B
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    • pp.994-1003
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    • 2009
  • For Automatic Meter Reading System, good topology of check machines, concentrators, and repeaters in client field is important. Steiner Minimum Tree is a minimum cost tree connecting all given nodes with introducing Steiner points. In this paper, an efficient mechanism allocating and connecting check machines, concentrators and repeaters which are essential elements in automatic meter reading system is proposed, which conducts repeated applications of building approximate Minimum Steiner Trees. In the mechanism, input nodes and Steiner points might correspond to check machine, concentrators or repeaters and edges might do to the connections between them. Therefore, through suitable conversions and processes of them, an efficient network for automatic meter reading system with both wired and wireless communication techniques could be constructed. In our experiment, for 1000 input nodes and 200 max connections per node, the proposed mechanism shortened the length of produced network by 19.1% comparing with the length of Minimum Spanning Tree built by Prim's algorithm.

Efficient Connection of Migration Routes with Their Weights Using EGOSST (EGOSST를 이용한 이동 경로의 가중치를 반영한 효과적 연결)

  • Kim, In-Bum
    • The KIPS Transactions:PartA
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    • v.18A no.5
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    • pp.215-224
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    • 2011
  • In this paper, a mechanism connecting all weighted migration routes with minimum cost with EGOSST is proposed. Weighted migration routes may be converted to weighted input edges considered as not only traces but also traffics or trip frequencies of moving object on communication lines, roads or railroads. Proposed mechanism can be used in more wide and practical area than mechanisms considering only moving object traces. In our experiments, edge number, maximum weight for input edges, and detail level for grid are used as input parameters. The mechanism made connection cost decrease average 1.07% and 0.43% comparing with the method using weight minimum spanning tree and weight steiner minimum tree respectively. When grid detail level is 0.1 and 0.001, while each execution time for a connecting solution increases average 97.02% and 2843.87% comparing with the method using weight minimum spanning tree, connecting cost decreases 0.86% and 1.13% respectively. This shows that by adjusting grid detail level, proposed mechanism might be well applied to the applications where designer must grant priority to reducing connecting cost or shortening execution time as well as that it can provide good solutions of connecting migration routes with weights.