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    National Tsing Hua University Institutional Repository > 電機資訊學院 > 資訊工程學系 > 期刊論文 >  Efficient algorithm for the split k-layer circular topological via minimization problem


    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/12819


    Title: Efficient algorithm for the split k-layer circular topological via minimization problem
    Authors: Huang,J. S.
    Chin,Y. H.
    Date: 1996
    Publisher: Hindawi Publishing Corporation
    Keywords: Integrated circuit layout
    Optimization
    Topology
    Algorithms
    Problem solving
    Heuristic methods
    Computational complexity
    Abstract: The split k-layer (k >= 2) circular topological via minimization (k-CTVM) problem is reconsidered here. The problem is finding a topological routing of the n nets, using k available layers, such that the total number of vias is minimized. The optimal solution of this problem is solved in O(n2k+1) time. However, such an algorithm is inefficient even for n >= 8 and k >= 2. A heuristic algorithm with complexity of O(k n4) is presented. When the experimental results of this algorithm and that of an exhaustive algorithm are compared, the same number of optimal solutions is obtained from this heuristic algorithm for all permutations of 1) n = 8 with k = 2 or 3, and 2) n = 10 with k = 3. For other cases, the number of optimal solutions from this algorithm depends on the permutations been selected; and this number, in general, will increase as k increases.
    URI: http://nthur.lib.nthu.edu.tw/handle/987654321/12819
    Appears in Collections:[資訊工程學系] 期刊論文
    [資訊系統與應用研究所] 期刊論文
    [電腦與通訊科技研發中心] 期刊論文
    [腦科學研究中心] 期刊論文

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