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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

Approximation algorithm Submodular function Facility location problem

Author Community:

  • [ 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

Reprint Author's Address:

  • 徐大川

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

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Source :

ALGORITHMICA

ISSN: 0178-4617

Year: 2012

Issue: 1-2

Volume: 63

Page: 191-200

1 . 1 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:4

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 47

SCOPUS Cited Count: 51

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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