Jain K, Mahdian M, Markakis E, et al. Greedy facility location algorithms analyzed using dual fitting with factor-revealing LP [J]. Journal of the ACM, 2003, 50(6): 795-824. Jain K, Vazirani V V. Approximation algorithms for metric facility location and k-median problems using the primal-dual schema and Lagrangian relaxation [J]. Journal of the ACM, 2001, 48(2): 274-296. Mahdian M, Ye Y Y, Zhang J W. Approximation algorithms for metric facility location problems [J]. SIAM Journal on Computing, 2006, 36(2): 411-432. Li S. A 1.488 approximation algorithm for the uncapacitated facility location problem [C]// Luca Aceto, Proceedings of ICALP, Part II, Switzerland: Springer, 2011, 77-88. Guha S, Khuller S. Greedy strikes back: improved facility location algorithms [J]. Journal of Algorithms, 1999, 31(1): 228-248. Byrka J, Aardal K I, An optimal bifactor approximation algorithm for the metric uncapacitated facility location problem [J]. SIAM Journal on Computing, 2010, 39(6): 2212-2231. Shmoys D B, Tardos E, Aardal K I. Approximation algorithms for facility location problems (extended abstract) [C]// F. Tom Leighton, Peter Shor, Proceedings of STOC, Texas: ACM New York, 1997, 265-274. Sviridenko M. An improved approximation algorithm for the metric uncapacitated facility location problem [C]// William J, Proceedings of IPCO, Cambridge: Springer, 2002, 240-257. Ageev A, Ye Y Y, Zhang J W. Improved combinatorial apporximation algorithms for the k-level facility location problem [J]. SIAM Journal on Discrete Mathematics, 2004, 18(1): 207-217. Chen X J, Chen B. Approximation algorithms for soft-capacitated facility location in capacitated network design [J]. Algorithmica, 2007, 53(3): 263-297. Du D D, Lu R X, Xu D C. A primal-dual approximation algorithm for the facility location problem with submodular penalties [J]. Algorithmica, 2012, 63(1-2): 191-200. Shu J. An efficient greedy heuristic for warehouse-retailer network design optimization [J]. Transportation Science, 2010, 44(2): 183-192. Shu J, Teo C P, Max Shen Z J. Stochastic transportation-inventory network design problem [J]. Operations Research, 2005, 53(1): 48-60. Zhang P. A new approximation algorithm for the k-facility location problem [J]. Theoretical Computer Science, 2007, 384(1): 126-135. Jain K, Vazirani V V. An approximation algorithms for the fault tolerant metric facility location problem [J]. Algorithmica, 2003, 38(3): 433-439. Byrka J, Srinivasan A, Swamy C. Fault-tolerant facility location: a randomized dependent LP-rounding algorithm [C]// Friedrich Eisenbrand and F. Bruce, Proceedings of IPCO, Switzerland: Springer, 2010, 244-257. Guha S, Meyerson A, Munagala K. A constant factor approximation algorithms for the fault tolerant facility location problem [J]. Journal of Algorithms, 2003, 48(2): 449-420. Swamy C, Shmoys D B. Fault-tolerant facility location [J]. ACM Transactions on Algorithms, 2008, 4(4), Article 51. Xu S H, Shen H. The fault-tolerant facility allocation problem [C]// Yingfei Dong, Ding-Zhu Du and Oscar Ibarra, Proceedings of ISAAC, Hawaii: Springer, 2009, 689-698. Ravi R, Sinha A. Hedging uncertainty: approximation algorithms for stochastic optimization problems [J]. Mathmatical Programming, 2006, 108(1): 97-114. Yan L, Chrobak M. Approximation algorithms for the fault tolerant facility placement problem [J]. Information Processing Letters, 2011, 111(11): 545-549. |