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    National Tsing Hua University Institutional Repository > 工學院  > 工業工程與工程管理學系 > 期刊論文 >  An algorithm for determining whether m given demand points are on a hemisphere or not


    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/46752


    Title: An algorithm for determining whether m given demand points are on a hemisphere or not
    Authors: Wen-Hsien Tsai;Maw-Sheng Chern;Tsong-Ming Lin
    教師: 陳茂生
    Date: 1991
    Publisher: INFORMS
    Relation: TRANSPORTATION SCIENCE, INFORMS, Volume 25, Issue 1, February 1991, Pages 91-97
    Keywords: convergence
    geometry
    operations research
    Abstract: Location problems on a sphere can be solved easily by mathematical programming or geometrical methods if it is known that all the demand points are located on a hemisphere. The paper presents an algorithm for determining whether m given demand points are on a hemisphere or not. In this algorithm, the great circle is rotated successively until the hemisphere which contains the m given demand points is found or it becomes known using the authors' criteria that the m given demand points are not on a hemisphere. The convergence of this algorithm is proved, and two illustrative examples are presented
    URI: http://www.informs.org/
    http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/46752
    Appears in Collections:[工業工程與工程管理學系] 期刊論文

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