Algorithms for the universal and a priori TSP

被引：22

作者：

Schalekamp, Frans ^{[1
]}

Shmoys, David B. ^{[1
]}

机构：

[1] Cornell Univ, Sch ORIE, Ithaca, NY 14853 USA

来源：

OPERATIONS RESEARCH LETTERS | 2008年 / 36卷 / 01期

基金：

美国国家科学基金会;

关键词：

traveling salesman problem; A priori optimization; universal optimization; metric embedding;

D O I：

10.1016/j.orl.2007.04.009

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We present two simple results for generalizations of the traveling salesman problem (TSP): for the universal TSP, we show that one can compute a tour that is universally optimal whenever the input is a tree metric. A (randomized) O(log n)-approximation algorithm for the a priori TSP follows as a corollary. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：1 / 3

页数：3

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