Near-optimal solutions to large-scale facility location problems

Discrete Optimization

Volumn 2, Issue 1, 2005, Pages 35-50

  Barahona, Francisco ^a   Chudak, Fabián A ^a  

^a IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

Facility location; Randomized rounding; Volume algorithm

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; COSTS; DATA REDUCTION; HEURISTIC METHODS; INTEGER PROGRAMMING; LINEAR PROGRAMMING; LOCATION; OPTIMIZATION; PROBLEM SOLVING;

FACILITY LOCATION; LINEAR PROGRAMMING RELAXATION; RANDOMIZED ROUNDING; VOLUME ALGORITHMS;

FACILITIES;

EID: 14844355578     PISSN: 15725286     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disopt.2003.03.001     Document Type: Article

References (18)

1. K. Aardal Capacitated facility location separation algorithms and computational experience Math. Programming 81 1998 149 175
2. S. Ahn, C. Cooper, G. Cornuéjols, and A.M. Frieze Probabilistic analysis of a relaxation for the k-median problem Math. Oper. Res. 13 1988 1 31
3. M.L. Balinski Integer programming methods, uses, computation Management Sci. 12 3 1965 253 313
4. F. Barahona, and R. Anbil The volume algorithm producing primal solutions with a subgradient method Math. Programming 87 2000 385 399
5. F.A. Chudak, Improved approximation algorithms for the uncapacitated facility location problem, Ph.D. Thesis, Cornell University, 1998.
6. F.A. Chudak Improved approximation algorithms for uncapacitated facility location Proceedings of the 6th IPCO Conference 1998 180 194
7. F.A. Chudak, D.B. Shmoys, Improved approximation algorithms for the uncapacitated facility location problem, SIAM J. Comput. 33 (2003) 1, 1-25.
8. G. Cornuéjols, G.L. Nemhauser, and L.A. Wolsey The uncapacitated facility location problem P. Mirchandani R. Francis Discrete Location Theory 1990 Wiley New York 119 171
9. G. Cornuéjols, R. Sridharan, and J.M. Thizy A comparison of heuristics and relaxations for the capacitated plant location problem European J. Oper. Res. 50 1991 280 297
10. D. Erlenkotter A dual-based procedure for uncapacitated facility location Oper. Res. 26 1978 992 1009
11. D. Erlenkotter, Program DUALOC - Version II, Distributed on request, 1991.
12. A.V. Goldberg, An efficient implementation of a scaling minimum-cost flow algorithm, Technical Report STAN-CS-92-1439, Stanford University, 1992.
13. M. Held, P. Wolfe, and H.P. Crowder Validation of subgradient optimization Math. Programming 49 1991 62 88
14. C. Lemaréchal, Nondifferential optimization, in: G.L. Nemhauser, A.H.G. Rinnoy Kan, M.J. Todd (Eds.), Optimization, Handbooks in Operations Research, North Holland, Amsterdam, 1989, pp. 529-572.
15. P. Mirchandani, R. Francis (Eds.), Discrete Location Theory, Wiley, New York, 1990.
16. P. Raghavan, and C.D. Thompson Randomized rounding Combinatorica 7 1987 365 374
17. D.B. Shmoys, É. Tardos, K. Aardal, Approximation algorithms for facility location problems, in: Proceedings of the 29th ACM Symposium on Theory of Computing, 1997, pp. 265-274.
18. P. Wolfe A method of conjugate subgradients for minimizing nondifferentiable functions Math. Programming Study 3 1975 145 173