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We study the Capacitated k-Median problem for which existing constant-factor approximation algorithms are all pseudo-approximations that violate either the capacities or the upper bound k on the number of open facilities.
ϵ \epsilon -approximations with minimum packing constraint violation (extended abstract)
J. Lin and J. S. Vitter · 1992
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Approximation algorithms for facility location problems (extended abstract)
D. B. Shmoys, É. Tardos, and K. Aardal · 1997
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Improved combinatorial algorithms for the facility location and k-median problems
M. Charikar and S. Guha · 1999
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A constant-factor approximation algorithm for the k-median problem (extended abstract)
M. Charikar, S. Guha, É. Tardos, and D. B. Shmoys · 1999
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Strengthening integrality gaps for capacitated network design and covering problems
Robert D. Carr, Lisa K. Fleischer, Vitus J. Leung, and Cynthia A. Phillips · 2000
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Approximation Algorithms for Facility Location Problems
Sudipto Guha · 2000
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Local search heuristic for k-median and facility location problems
V. Arya, N. Garg, R. Khandekar, A. Meyerson, K. Munagala, and V. Pandit · 2001
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Approximation algorithms for metric facility location and k-median problems using the primal-dual schema and Lagrangian relaxation
K Jain and V. V. Vazirani · 2001
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A new greedy approach for facility location problems
K. Jain, M. Mahdian, and A. Saberi · 2002
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Julia Chuzhoy and Yuval Rabani · 2005
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Approximating k-median via pseudo-approximation
Shi Li and Ola Svensson · 2013
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LP-based algorithms for capacitated facility location
Hyung-Chan An, Mohit Singh, and Ola Svensson · 2014
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An improved approximation algorithm for the hard uniform capacitated k-median problem
Shanfei Li · 2014
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Approximation algorithms for hard capacitated k-facility location problems
Karen Aardal, Pieter L. van den Berg, Dion Gijswijt, and Shanfei Li · 2015
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Bi-factor approximation algorithms for hard capacitated k-median problems
Jarosław Byrka, Krzysztof Fleszar, Bartosz Rybicki, and Joachim Spoerhase · 2015
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An improved approximation for k k -median, and positive correlation in budgeted optimization
Jarosław Byrka, Thomas Pensyl, Bartosz Rybicki, Aravind Srinivasan, and Khoa Trinh · 2015
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Jarosław Byrka, Bartosz Rybicki, and Sumedha Uniyal · 2015
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On uniform capacitated k k -median beyond the natural LP relaxation
Shi Li · 2015
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Approximating capacitated k -median with (1 + ϵ \epsilon ) k open facilities
Shi Li · 2016
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