A unified dual-fitting approximation algorithm for the facility location problems with linear/submodular penalties

被引:2
作者
Li, Yu [1 ]
Du, Donglei [2 ]
Xiu, Naihua [1 ]
Xu, Dachuan [3 ]
机构
[1] Beijing Jiaotong Univ, Sch Sci, Dept Math, Beijing 100044, Peoples R China
[2] Univ New Brunswick, Fac Business Adm, Fredericton, NB E3B 5A3, Canada
[3] Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
基金
加拿大自然科学与工程研究理事会;
关键词
Approximation algorithm; Facility location problem; Linear programming; Submodular function;
D O I
10.1007/s10878-012-9540-5
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we study two variants of the classical facility location problem, namely, the facility location problem with linear penalties (FLPLP) and the facility location problem with submodular penalties (FLPSP), respectively. We give a unified dual-fitting based approximation algorithm for these two problems, yielding approximation ratios 2 and 3 respectively.
引用
收藏
页码:609 / 620
页数:12
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