An approximation algorithm for soft capacitated k-facility location problem

被引:6
作者
Jiang, Yanjun [1 ]
Xu, Dachuan [1 ]
Du, Donglei [2 ]
Wu, Chenchen [3 ]
Zhang, Dongmei [4 ]
机构
[1] Beijing Univ Technol, Dept Informat & Operat Res, Coll Appl Sci, 100 Pingleyuan, Beijing 100124, Peoples R China
[2] Univ New Brunswick, Fac Business Adm, Fredericton, NB E3B 5A3, Canada
[3] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China
[4] Shandong Jianzhu Univ, Sch Comp Sci & Technol, Jinan 250101, Shandong, Peoples R China
基金
加拿大自然科学与工程研究理事会;
关键词
Approximation algorithm; Soft capacitated k-facility location problem; Primal-dual scheme; PLACEMENT;
D O I
10.1007/s10878-017-0192-3
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present a -approximation algorithm for the non-uniform soft capacitated k-facility location problem, violating the capacitated constrains by no more than a factor of 25. The main technique is based on the primal-dual algorithm for the soft capacitated facility location problem, and the exploitation of the combinatorial structure of the fractional solution for the soft capacitated k-facility location problem.
引用
收藏
页码:493 / 511
页数:19
相关论文
共 26 条
[1]   Approximation algorithms for hard capacitated k-facility location problems [J].
Aardal, Karen ;
van den Berg, Pieter L. ;
Gijswijt, Dion ;
Li, Shanfei .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2015, 242 (02) :358-368
[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]  
Aggarwal A, 2010, LECT NOTES COMPUT SC, V6080, P149, DOI 10.1007/978-3-642-13036-6_12
[4]  
[Anonymous], 2015, P 26 ANN ACM SIAM S
[5]  
[Anonymous], 1997, APPROXIMATION ALGORI
[6]   An Approximation Algorithm for Uniform Capacitated k-Median Problem with 1+ε Capacity Violation [J].
Byrka, Jaroslaw ;
Rybicki, Bartosz ;
Uniyal, Sumedha .
INTEGER PROGRAMMING AND COMBINATORIAL OPTIMIZATION, IPCO 2016, 2016, 9682 :262-274
[7]  
Byrka Jaroslaw, 2015, P 26 ANN ACM SIAM S, P737, DOI DOI 10.1137/1.9781611973730.50
[8]  
Charikar M., 1999, Proceedings of the Thirty-First Annual ACM Symposium on Theory of Computing, P1, DOI 10.1145/301250.301257
[9]   Approximation Algorithms for Soft-Capacitated Facility Location in Capacitated Network Design [J].
Chen, Xujin ;
Chen, Bo .
ALGORITHMICA, 2009, 53 (03) :263-297
[10]  
Chuzhoy J, 2005, PROCEEDINGS OF THE SIXTEENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, P952