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作者:

Du, Donglei (Du, Donglei.) | Lu, Ruixing (Lu, Ruixing.) | Xu, Dachuan (Xu, Dachuan.) (学者:徐大川)

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EI Scopus SCIE

摘要:

We consider the facility location problem with submodular penalties (FLPSP), introduced by Hayrapetyan et al. (Proceedings of the Sixteenth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pp. 933-942, 2005), who presented a 2.50-approximation algorithm that is non-combinatorial because this algorithm has to solve the LP-relaxation of an integer program with exponential number of variables. The only known polynomial algorithm for this exponential LP is via the ellipsoid algorithm as the corresponding separation problem for its dual program can be solved in polynomial time. By exploring the properties of the submodular function, we offer a primal-dual 3-approximation combinatorial algorithm for this problem.

关键词:

Approximation algorithm Facility location problem Submodular function

作者机构:

  • [ 1 ] [Lu, Ruixing]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 2 ] [Xu, Dachuan]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 3 ] [Du, Donglei]Univ New Brunswick, Fac Business Adm, Fredericton, NB E3B 5A3, Canada

通讯作者信息:

  • 徐大川

    [Xu, Dachuan]Beijing Univ Technol, Dept Appl Math, 100 Pingleyuan, Beijing 100124, Peoples R China

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来源 :

ALGORITHMICA

ISSN: 0178-4617

年份: 2012

期: 1-2

卷: 63

页码: 191-200

1 . 1 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:138

JCR分区:4

中科院分区:3

被引次数:

WoS核心集被引频次: 42

SCOPUS被引频次: 48

ESI高被引论文在榜: 0 展开所有

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