An approximation algorithm for the κ-level stochastic facility location problem

Operations Research Letters

Volumn 38, Issue 5, 2010, Pages 386-389

  Wang, Zhen ^a   Du, Donglei ^b   Gabor, Adriana F ^c   Xu, Dachuan ^a  

^a BEIJING UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF NEW BRUNSWICK   (Canada)

^c Erasmus University Rotterdam   (Netherlands)

Author keywords

Approximation algorithm; Facility location; Randomized rounding

Indexed keywords

FACILITY LOCATION; INTEGER LINEAR PROGRAMMING FORMULATION; LP-ROUNDING; RANDOMIZED ROUNDING; STOCHASTIC FACILITY LOCATION PROBLEM; STOCHASTIC STRUCTURE;

INTEGER PROGRAMMING; STOCHASTIC SYSTEMS;

APPROXIMATION ALGORITHMS;

EID: 77956340738     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.orl.2010.04.010     Document Type: Article

References (23)

1. K.I. Aardal, F. Chudak, and D.B. Shmoys A 3-approximation algorithm for the k-level uncapacitated facility location problem Information Processing Letters 72 1999 161 167
2. A. Ageev, Y. Ye, and J. Zhang Improved combinatorial approximation algorithms for the k-level facility location problem SIAM Journal on Discrete Mathematics 18 1 2004 207 217
3. A.F. Bumb, W. Kern, A simple dual ascent algorithm for the multilevel facility location problem, in: Proceedings of the 4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, 2001, pp. 5563.
4. J. Byrka, and K.I. Aardal An optimal bifactor approximation algorithm for the metric uncapacitated facility location problem SIAM Journal on Computing 39 6 2010 2212 2231
5. X. Chen, and B. Chen Approximation algorithms for soft-capacitated facility location in capacitated network design Algorithmica 53 3 2007 263 297
6. F. Chudak, and D.B. Shmoys Improved approximation algorithms for the uncapacitated facility location problem SIAM Journal on Computing 33 1 2003 1 25
7. A.F. Gabor, and Jan-Kees C.W. van Ommeren A new approximation algorithm for the multilevel facility location problem Discrete Applied Mathematics 158 56 2010 453 460
8. S. Guha, and S. Khuller Greedy strike back: improved facility location algorithms Journal of Algorithms 31 1999 228 248
9. K. Jain, M. Mahdian, E. Markakis, A. Saberi, and V.V. Vazirani Greedy facility location algorithm analyzed using dual fitting with factor-revealing LP Journal of the ACM 50 2003 795 824
10. K. Jain, and V.V. Vazirani Approximation algorithms for metric facility location and k-median problems using the primaldual schema and Lagrangian relaxation Journal of the ACM 48 2001 274 296
11. M. Mahdian, Facility location and the analysis of algorithms through factor-revealing programs, Ph.D. Thesis, MIT, Cambridge, MA, 2004.
12. M. Mahdian, Y. Ye, and J. Zhang Approximation algorithms for metric facility location problems SIAM Journal on Computing 36 2 2006 411 432
13. R. Ravi, and A. Sinha Hedging uncertainty: approximation algorithms for stochastic optimization problems Mathematical Programming, Series A 108 2006 97 114
14. D.B. Shmoys, and C. Swamy An approximation scheme for stochastic linear programming and its application to stochastic integer programs Journal of the ACM 53 2006 978C1012
15. D.B. Shmoys, E. Tards, K.I. Aardal, Approximation algorithms for facility location problems, in: Proceedings of the 29th Annual ACM Symposium on Theory of Computing, 1997, pp. 265274.
16. J. Shu, An efficient greedy heuristic for warehouseretailer network design optimization, Transportation Science (2010). doi:10.1287/trsc.1090.0302.
17. J. Shu, Q. Ma, S. Li, Integrated location and two-echelon inventory network design under uncertainty, Annals of Operations Research (2010). doi:10.1007/s10479-010-0732-z.
18. J. Shu, C.P. Teo, and Z.J. Max Shen Stochastic transportationinventory network design problem Operations Research 53 2005 48 60
19. A. Srinivasan, Approximation algorithms for stochastic and risk-averse optimization, in: Proceedings of the 18th annual ACMSIAM Symposium on Discrete Algorithms, 2007, pp. 13051313.
20. Y. Ye, and J. Zhang An approximation algorithm for the dynamic facility location problem Combinatorial Optimization in Communication Networks 2005 Kluwer Academic Publishers 623 637
21. P. Zhang A new approximation algorithm for the k-facility location problem Theoretical Computer Science 384 1 2007 126 135
22. J. Zhang Approximating the two-level facility location problem via a quasi-greedy approach Mathematical Programming 108 1 2006 159 176
23. J. Zhang, B. Chen, and Y. Ye A multiexchange local search algorithm for the capacitated facility location problem Mathematics of Operations Research 30 2 2005 389 403