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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 28-Aug-2014 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 http://dx.doi.org/10.1016/0020-0255(93)90133-7
dc.contributor 資科系en_US
dc.creator (作者) 連耀南zh_TW
dc.creator (作者) Lien,Yao-Nan;Ma,Eva;Wah,Benjamin W.-S.en_US
dc.date (日期) 1993-10en_US
dc.date.accessioned 28-Aug-2014 10:43:58 (UTC+8)-
dc.date.available 28-Aug-2014 10:43:58 (UTC+8)-
dc.date.issued (上傳時間) 28-Aug-2014 10:43:58 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/69392-
dc.description.abstract (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.en_US
dc.format.extent 1294247 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Information Sciences,74, (1-2),177-189en_US
dc.title (題名) Transformation of the generalized traveling-salesman problem into the standard traveling-salesman problemen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/0020-0255(93)90133-7en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1016/0020-0255(93)90133-7en_US