Approximation algorithm for facility location with service installation costs

被引:17
作者
Xu, Dachuan [1 ]
Zhang, Shuzhong [2 ]
机构
[1] Beijing Univ Technol, Dept Appl Math, Beijing 100022, Peoples R China
[2] Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Shatin, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
facility location; approximation algorithm; linear programming relaxation;
D O I
10.1016/j.orl.2007.04.002
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we study the uncapacitated facility location problem with service installation costs depending on the type of service required. We propose a polynomial-time approximation algorithm with approximation ratio 1.808 which improves the previous approximation ratio of 2.391 of Shmoys, Swamy, and Levi. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:46 / 50
页数:5
相关论文
共 17 条
[1]   A 3-approximation algorithm for the k-level uncapacitated facility location problem [J].
Aardal, K ;
Chudak, FA ;
Shmoys, DB .
INFORMATION PROCESSING LETTERS, 1999, 72 (5-6) :161-167
[2]   Improved combinatorial approximation algorithms for the k-level facility location problem [J].
Ageev, A ;
Ye, YY ;
Zhang, JW .
SIAM JOURNAL ON DISCRETE MATHEMATICS, 2004, 18 (01) :207-217
[3]  
BYRKA J, 2006, OPER RES LETT
[4]  
BYRKA J, 2007, ARXIVCS0703010
[5]   Improved combinatorial algorithms for facility location problems [J].
Charikar, M ;
Guha, S .
SIAM JOURNAL ON COMPUTING, 2005, 34 (04) :803-824
[6]   Improved approximation algorithms for the uncapacitated facility location problem [J].
Chudak, FA ;
Shmoys, DB .
SIAM JOURNAL ON COMPUTING, 2003, 33 (01) :1-25
[7]   Greedy strikes back: Improved facility location algorithms [J].
Guha, S ;
Khuller, S .
JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC, 1999, 31 (01) :228-248
[8]   Approximation algorithms for metric facility location and k-median problems using the primal-dual schema and Lagrangian relaxation [J].
Jain, K ;
Vazirani, VV .
JOURNAL OF THE ACM, 2001, 48 (02) :274-296
[9]  
Jain K., 2002, P THIRY 4 ANN ACM S, P731, DOI [10.1145/509907.510012, DOI 10.1016/J.0RL.2006.03.0]
[10]  
Mahdian M, 2006, SIAM J COMPUT, V36, P411, DOI 10.1137/S0097539703435716