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    政大機構典藏 > 資訊學院 > 資訊科學系 > 期刊論文 >  Item 140.119/69392


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    題名: Transformation of the generalized traveling-salesman problem into the standard traveling-salesman problem
    作者: 連耀南
    Lien,Yao-Nan;Ma,Eva;Wah,Benjamin W.-S.
    貢獻者: 資科系
    日期: 1993-10
    上傳時間: 2014-08-28 10:43:58 (UTC+8)
    摘要: In the generalized traveling-salesman problem (GTSP), we are given a set of cities that are grouped into possibly intersecting clusters. The objective is to find a closed path of minimum cost that visits at least one city in each cluster. Given an instance G of the GTSP, we first transform G into another instance G′ of the GTSP in which all the clusters are nonintersecting, and then transform G′ into an instance G″ of the standard traveling-salesman problem (TSP). We show that any feasible solution of the TSP instance G″ can be transformed into a feasible solution of the GTSP instance G of no greater cost, and that any optimal solution of the TSP instance G″ can be transformed into an optimal solution of the GTSP instance G.
    關聯: Information Sciences,74, (1-2),177-189
    資料類型: article
    DOI 連結: http://dx.doi.org/10.1016/0020-0255(93)90133-7
    DOI: 10.1016/0020-0255(93)90133-7
    顯示於類別:[資訊科學系] 期刊論文

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