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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

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/69392

Title:	Transformation of the generalized traveling-salesman problem into the standard traveling-salesman problem
Authors:	連耀南 Lien,Yao-Nan;Ma,Eva;Wah,Benjamin W.-S.
Contributors:	資科系
Date:	1993-10
Issue Date:	2014-08-28 10:43:58 (UTC+8)
Abstract:	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.
Relation:	Information Sciences,74, (1-2),177-189
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1016/0020-0255(93)90133-7
DOI:	10.1016/0020-0255(93)90133-7
Appears in Collections:	[資訊科學系] 期刊論文

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