An approximation algorithm for the k-level capacitated facility location problem

被引:16
|
作者
Du, Donglei [2 ]
Wang, Xing [1 ]
Xu, Dachuan [1 ]
机构
[1] Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
[2] Univ New Brunswick, Fac Business Adm, Fredericton, NB E3B 5A3, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Capacitated facility location problem; Approximation algorithm; Local search;
D O I
10.1007/s10878-009-9213-1
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We consider the k-level capacitated facility location problem (k-CFLP), which is a natural variant of the classical facility location problem and has applications in supply chain management. We obtain the first (combinatorial) approximation algorithm with a performance factor of k + 2 + root k(2) + 2k + 5 + epsilon (epsilon > 0) for this problem.
引用
收藏
页码:361 / 368
页数:8
相关论文
共 50 条
  • [1] An approximation algorithm for the k-level capacitated facility location problem
    Donglei Du
    Xing Wang
    Dachuan Xu
    [J]. Journal of Combinatorial Optimization, 2010, 20 : 361 - 368
  • [2] An approximation algorithm for the k-level facility location problem with outliers
    Lu Han
    Dachuan Xu
    Dandan Liu
    Chenchen Wu
    [J]. Optimization Letters, 2021, 15 : 2053 - 2065
  • [3] An approximation algorithm for the k-level facility location problem with outliers
    Han, Lu
    Xu, Dachuan
    Liu, Dandan
    Wu, Chenchen
    [J]. OPTIMIZATION LETTERS, 2021, 15 (06) : 2053 - 2065
  • [4] An Approximation Algorithm for the Dynamic k-level Facility Location Problem
    Wang, Limin
    Zhang, Zhao
    Xu, Dachuan
    Zhang, Xiaoyan
    [J]. ALGORITHMIC ASPECTS IN INFORMATION AND MANAGEMENT, AAIM 2019, 2019, 11640 : 284 - 291
  • [5] An approximation algorithm for the k-level stochastic facility location problem
    Wang, Zhen
    Du, Donglei
    Gabor, Adriana F.
    Xu, Dachuan
    [J]. OPERATIONS RESEARCH LETTERS, 2010, 38 (05) : 386 - 389
  • [6] 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
  • [7] 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
  • [8] An Improved Approximation Algorithm for the k-Level Facility Location Problem with Soft Capacities
    Chen-chen WU
    Da-chuan XU
    [J]. Acta Mathematicae Applicatae Sinica, 2017, 33 (04) : 1015 - 1024
  • [9] An improved approximation algorithm for the k-level facility location problem with soft capacities
    Chen-chen Wu
    Da-chuan Xu
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2017, 33 : 1015 - 1024
  • [10] 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