Approximation algorithm for facility location with service installation costs

Operations Research Letters

Volumn 36, Issue 1, 2008, Pages 46-50

  Xu, Dachuan ^a   Zhang, Shuzhong ^b  

^a BEIJING UNIVERSITY OF TECHNOLOGY   (China)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Approximation algorithm; Facility location; Linear programming relaxation

Indexed keywords

APPROXIMATION ALGORITHMS; COSTS; LINEAR PROGRAMMING; OPERATIONS RESEARCH; POLYNOMIAL APPROXIMATION;

APPROXIMATION RATIO; FACILITY LOCATION; LINEAR PROGRAMMING RELAXATION;

LOCATION;

EID: 37149038510     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.orl.2007.04.002     Document Type: Article

References (17)

1. Aardal K., Chudak F., and Shmoys D. A 3-approximation algorithm for the k-level uncapacitated facility location problem. Inform. Process. Lett. 72 (1999) 161-167
2. Ageev A., Ye Y., and Zhang J. Improved combinatorial approximation algorithms for the k-level facility location problem. SIAM J. Discrete Math. 18 1 (2004) 207-217
3. J. Byrka, An optimal bifactor approximation algorithm for the metric uncapacitated facility location problem, March 2007, arXiv:cs/0703010.
4. Byrka J., and Aardal K. The approximation gap for the metric facility location problem is not yet closed. Oper. Res. Lett. (2006) 10.1016/j.orl.2006.03.017
5. Chudak F., and Shmoys D. Improved approximation algorithms for the uncapacitated facility location problem. SIAM J. Comput. 33 1 (2003) 1-25
6. Charikar M., and Guha S. Improved combinatorial algorithm for facility location problems. SIAM J. Comput. 34 4 (2005) 803-824
7. Guha S., and Khuller S. Greedy strike back: improved facility location algorithms. J. Algorithms 31 (1999) 228-248
8. Jain K., Mahdian M., and Saberi A. A new greedy approach for facility location problems. Proceedings of STOC 2002 (2002) 731-740
9. Jain K., and Vazirani V.V. Approximation algorithms for metric facility location and k-median problems using the primal-dual schema and Lagrangian relaxation. J. ACM 48 (2001) 274-296
10. Mahdian M., Ye Y., and Zhang J. Approximation algorithms for metric facility location problems. SIAM J. Comput. 36 2 (2006) 411-432
11. Shmoys D., Swamy C., and Levi R. Facility location with service installation costs. Proceedings of SODA (2004) 1081-1090
12. Shmoys D., Tardos E., and Aardal K. Approximation algorithms for facility location problems (extended abstract). Proceedings of STOC (1997) 265-274
13. Sviridenko M. An improved approximation algorithm for the metric uncapacitated facility location problem. Proceedings of IPCO (2002) 240-257
14. Xu D., and Du D. The k-level facility location game. Oper. Res. Lett. 34 4 (2006) 421-426
15. Zhang J. Approximating the two-level facility location problem via a quasi-greedy approach. Math. Programming Ser. A 108 1 (2006) 159-176
16. Zhang J., Chen B., and Ye Y. A multiexchange local search algorithm for the capacitated facility location problem. Math. Oper. Res. 30 2 (2005) 389-403
17. Zhang J., and Ye Y. A note on the maximization version of the multi-level facility location problem. Oper. Res. Lett. 30 5 (2002) 333-335