PRIMAL-DUAL APPROXIMATION ALGORITHMS FOR SUBMODULAR COST SET COVER PROBLEMS WITH LINEAR/SUBMODULAR PENALTIES

被引：0
|
作者：
Wang, Fengmin [1 ]
Xu, Dachuan [1 ]
Du, Donglei [2 ]
Wu, Chenchen [3 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Dept Informat & Operat Res, 100 Pingleyuan, Beijing 100124, Peoples R China
[2] Univ New Brunswick, Fac Business Adm, Fredericton, NB E3B 5A3, Canada
[3] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China
来源：
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2015年 / 5卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Set cover; submodular cost; penalties; approximation algorithm; primal-dual;
D O I：
10.3934/naco.2015.5.91
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce two set cover problems with submodular costs and linear/submodular penalties and offer two approximation algorithms of ratios eta and 2 eta respectively via the primal-dual technique, where eta is the largest number of sets that each element belongs to.
引用
收藏
页码：91 / 100
页数：10
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