Theory of linear and integer programming
Theory of linear and integer programming
Integer and combinatorial optimization
Integer and combinatorial optimization
Probabilistic analysis of a relaxation for the k-median problem
Mathematics of Operations Research
An OL(n3) potential reduction algorithm for linear programming
Mathematical Programming: Series A and B
e-approximations with minimum packing constraint violation (extended abstract)
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
Approximation algorithms for geometric median problems
Information Processing Letters
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Approximation schemes for Euclidean k-medians and related problems
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Rounding via trees: deterministic approximation algorithms for group Steiner trees and k-median
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
On approximating arbitrary metrices by tree metrics
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
A constant-factor approximation algorithm for the k-median problem (extended abstract)
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Analysis of a local search heuristic for facility location problems
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Fault tolerant K-center problems
Theoretical Computer Science
Improved algorithms for fault tolerant facility location
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Local search heuristic for k-median and facility location problems
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Improved Approximation Algorithms for Capacitated Facility Location Problems
Proceedings of the 7th International IPCO Conference on Integer Programming and Combinatorial Optimization
Improved Approximation Algorithms for Metric Facility Location Problems
APPROX '02 Proceedings of the 5th International Workshop on Approximation Algorithms for Combinatorial Optimization
A Simple Dual Ascent Algorithm for the Multilevel Facility Location Problem
APPROX '01/RANDOM '01 Proceedings of the 4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems and 5th International Workshop on Randomization and Approximation Techniques in Computer Science: Approximation, Randomization and Combinatorial Optimization
SIAM Journal on Computing
The Access Network Design Problem
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Improved Combinatorial Algorithms for the Facility Location and k-Median Problems
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Hierarchical placement and network design problems
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Probabilistic approximation of metric spaces and its algorithmic applications
FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
Improved Combinatorial Algorithms for Single Sink Edge Installation Problems.
Improved Combinatorial Algorithms for Single Sink Edge Installation Problems.
Approximating the two-level facility location problem via a quasi-greedy approach
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Approximation algorithms for combinatorial problems
Journal of Computer and System Sciences
An O(pn2) algorithm for the p -median and related problems on tree graphs
Operations Research Letters
Efficient social-aware content placement in opportunistic networks
WONS'10 Proceedings of the 7th international conference on Wireless on-demand network systems and services
Centrality-driven scalable service migration
Proceedings of the 23rd International Teletraffic Congress
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The k-median problem is a central problem in Operations Research that has captured the attention of the Algorithms community in recent years. Despite its importance, a non-trivial approximation algorithm for the problem eluded researchers for a long time. Remarkably, a succession of papers with ever improved performance ratios have been written in the last couple of years. We review some of the approaches that have been used to design approximation algorithms for this problem, and we also present some of the known results about the hardness of approximating the optimum solution for the k-median problem.