A Primal-Dual Approximation Algorithm for the Facility Location Problem with Submodular Penalties

被引：12
|
作者：
Donglei Du
Ruixing Lu
Dachuan Xu
机构：
[1] University of New Brunswick,Faculty of Business Administration
[2] Beijing University of Technology,Department of Applied Mathematics
来源：
Algorithmica | 2012年 / 63卷
关键词：
Facility location problem; Approximation algorithm; Submodular function;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
页码：191 / 200
页数：9
相关论文
共 50 条
  • [41] Primal-dual algorithms for connected facility location problems
    Swamy, C
    Kumar, A
    APPROXIMATION ALGORITHMS FOR COMBINATORIAL OPTIMIZATION, PROCEEDINGS, 2002, 2462 : 256 - 269
  • [42] A primal-dual schema based approximation algorithm for the element connectivity problem
    Jain, K
    Mandoiu, I
    Vazirani, VV
    Williamson, DP
    JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC, 2002, 45 (01): : 1 - 15
  • [43] Primal-dual algorithms for connected facility location problems
    Swamy, C
    Kumar, A
    ALGORITHMICA, 2004, 40 (04) : 245 - 269
  • [44] Improved approximation algorithm for universal facility location problem with linear penalties
    Xu, Yicheng
    Xu, Dachuan
    Du, Donglei
    Wu, Chenchen
    THEORETICAL COMPUTER SCIENCE, 2019, 774 (143-151) : 143 - 151
  • [45] Improved Approximation Algorithms for the Facility Location Problems with Linear/Submodular Penalties
    Li, Yu
    Du, Donglei
    Xiu, Naihua
    Xu, Dachuan
    ALGORITHMICA, 2015, 73 (02) : 460 - 482
  • [46] Return of the Primal-Dual: Distributed Metric Facility Location
    Pandit, Saurav
    Pemmaraju, Sriram
    PODC'09: PROCEEDINGS OF THE 2009 ACM SYMPOSIUM ON PRINCIPLES OF DISTRIBUTED COMPUTING, 2009, : 180 - 189
  • [47] Improved Approximation Algorithms for the Facility Location Problems with Linear/Submodular Penalties
    Yu Li
    Donglei Du
    Naihua Xiu
    Dachuan Xu
    Algorithmica, 2015, 73 : 460 - 482
  • [48] A primal-dual approximation algorithm for a two depot heterogeneous traveling salesman problem
    Bae, Jungyun
    Rathinam, Sivakumar
    OPTIMIZATION LETTERS, 2016, 10 (06) : 1269 - 1285
  • [49] A primal-dual approximation algorithm for a two depot heterogeneous traveling salesman problem
    Jungyun Bae
    Sivakumar Rathinam
    Optimization Letters, 2016, 10 : 1269 - 1285
  • [50] A primal-dual approximation algorithm for the vertex cover P3 problem
    Tu, Jianhua
    Zhou, Wenli
    THEORETICAL COMPUTER SCIENCE, 2011, 412 (50) : 7044 - 7048
12345