• Title/Summary/Keyword: minimal Steiner tree

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On Minimum-Cost Rectilinear Steiner Distance-Preserving Tree (최소 비용 직각선분 Steiner 거리 유지 트리의 최적화)

  • Jo, Jun-Dong
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.7
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    • pp.1707-1718
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    • 1996
  • Given a signal net N=s, 1,...,n to be the set of nodes, with s the source and the remaining nodes sinks, an MRDPT (minimum-cost rectilinear Steiner distance -preserving tree) has the property that the length of every source to sink path is equal to the rectilinear distance between the source and sink. The minimum- cost rectilinear Steiner distance-preserving tree minimizes the total wore length while maintaining minimal source to sink length. Recently, some heuristic algorithms have been proposed for the problem offending the MRDPT. In this paper, we investigate an optimal structure on the MRDPT and present a theoretical breakthrough which shows that the min-cost flow formulation leads to an efficient O(n2logm)2) time algorithm. A more practical extension is also in vestigated along with interesting open problems.

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Location of Strategic Military Base Minimally Connecting Three Frontlines (세 개 지점을 최단거리로 연결하는 전략기지의 위치선정)

  • Lee, Sang-Joong
    • Journal of the Korea Institute of Military Science and Technology
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    • v.16 no.3
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    • pp.250-254
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    • 2013
  • Faster and cheaper transportation of the war supplies to the frontlines is essential for winning a war. This paper proposes a method to select the optimal location of the strategic military base, e.g., the Quartermaster Corps, that minimally connects three frontlines using the optimization technique. The results are also compared to the Steiner Tree theoty.

On Minimum Cost Multicast Routing Based on Cost Prediction

  • Kim, Moon-Seong;Mutka, Matt W.;Hwang, Dae-Jun;Choo, Hyun-Seung
    • Journal of Communications and Networks
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    • v.11 no.5
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    • pp.500-508
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    • 2009
  • We have designed an algorithm for a problem in multicast communication. The problem is to construct a multicast tree while minimizing its cost, which is known to be NP-complete. Our algorithm, which employs new concepts defined as potential cost and spanning cost, generates a multicast tree more efficiently than the well-known heuristic called Takahashi and Matsuyama (TM) [1] in terms of tree cost. The time complexity of our algorithm is O($kn^2$) for an n-node network with k members in the multicast group and is comparable to the TM. Our empirical performance evaluation comparing the proposed algorithm with TM shows that the enhancement is up to 1.25%~4.23% for each best case.