A factor 1/2 approximation algorithm for two-stage stochastic matching problems

被引：17

作者：

Kong, N ^{[1
]}

Schaefer, AJ ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Ind Engn, Pittsburgh, PA 15261 USA

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2006年 / 172卷 / 03期

基金：

美国国家科学基金会;

关键词：

stochastic programming; approximation algorithms; matching; combinatorial optimization;

D O I：

10.1016/j.ejor.2004.10.011

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

We introduce the two-stage stochastic maximum-weight matching problem and demonstrate that this problem is NP-complete. We give a factor 1/2 approximation algorithm and prove its correctness. We also provide a tight example to show the bound given by the algorithm is exactly 1/2. Computational results on some two-stage stochastic bipartite matching instances indicate that the performance of the approximation algorithm appears to be substantially better than its worst-case performance. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：740 / 746

页数：7

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