Approximation Algorithms for the Priority Facility Location Problem with Penalties

被引：0
|
作者：
WANG Fengmin [1 ]
XU Dachuan [1 ]
WU Chenchen [2 ]
机构：
[1] College of Applied Sciences, Beijing University of Technology
[2] College of Science, Tianjin University of Technology
来源：
Journal of Systems Science & Complexity | 2015年 / 28卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Approximation algorithm; facility location problem; greedy augmentation; primal-dual;
D O I：
暂无
中图分类号：
O224 [最优化的数学理论];
学科分类号：
070105 ; 1201 ;
摘要：
This paper considers the priority facility location problem with penalties. The authors develop a primal-dual 3-approximation algorithm for this problem. Combining with the greedy augmentation procedure, the authors further improve the previous ratio 3 to 1.8526.
引用
收藏
页码：1102 / 1114
页数：13
相关论文
共 50 条
  • [31] AN APPROXIMATION ALGORITHM FOR THE k-LEVEL FACILITY LOCATION PROBLEM WITH SUBMODULAR PENALTIES
    Li, Gaidi
    Wang, Zhen
    Xu, Dachuan
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2012, 8 (03) : 521 - 529
  • [32] Approximation Algorithm for the k-Product Uncapacitated Facility Location Problem with Penalties
    Yang, Pei-Jia
    Luo, Wen-Chang
    [J]. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2023,
  • [33] An Approximation Algorithm for the k-Level Uncapacitated Facility Location Problem with Penalties
    Asadi, Mohsen
    Niknafs, Ali
    Ghodsi, Mohammad
    [J]. ADVANCES IN COMPUTER SCIENCE AND ENGINEERING, 2008, 6 : 41 - 49
  • [34] New Approximation Algorithms for the Unsplittable Capacitated Facility Location Problem
    Behsaz, Babak
    Salavatipour, Mohammad R.
    Svitkina, Zoya
    [J]. ALGORITHMICA, 2016, 75 (01) : 53 - 83
  • [35] New Approximation Algorithms for the Unsplittable Capacitated Facility Location Problem
    Babak Behsaz
    Mohammad R. Salavatipour
    Zoya Svitkina
    [J]. Algorithmica, 2016, 75 : 53 - 83
  • [36] The Reliable Facility Location Problem: Formulations, Heuristics, and Approximation Algorithms
    Shen, Zuo-Jun Max
    Zhan, Roger Lezhou
    Zhang, Jiawei
    [J]. INFORMS JOURNAL ON COMPUTING, 2011, 23 (03) : 470 - 482
  • [37] Improved Approximation Algorithm for k-level Uncapacitated Facility Location Problem (with Penalties)
    Byrka, Jaroslaw
    Li, Shanfei
    Rybicki, Bartosz
    [J]. THEORY OF COMPUTING SYSTEMS, 2016, 58 (01) : 19 - 44
  • [38] A combinatorial approximation algorithm for k-level facility location problem with submodular penalties
    Li Zhang
    Jing Yuan
    Zhizhen Xu
    Qiaoliang Li
    [J]. Journal of Combinatorial Optimization, 2023, 46
  • [39] A combinatorial approximation algorithm for k-level facility location problem with submodular penalties
    Zhang, Li
    Yuan, Jing
    Xu, Zhizhen
    Li, Qiaoliang
    [J]. JOURNAL OF COMBINATORIAL OPTIMIZATION, 2023, 46 (01)
  • [40] Improved Approximation Algorithm for k-level Uncapacitated Facility Location Problem (with Penalties)
    Jaroslaw Byrka
    Shanfei Li
    Bartosz Rybicki
    [J]. Theory of Computing Systems, 2016, 58 : 19 - 44
12345