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- W2262337340 abstract "We study the Capacitated k-Median problem, for which all the known constant factor approximation algorithms violate either the number of facilities or the capacities. While the standard LP-relaxation can only be used for algorithms violating one of the two by a factor of at least two, Li [10, 11] gave algorithms violating the number of facilities by a factor of $$1+epsilon $$ exploring properties of extended relaxations.In this paper we develop a constant factor approximation algorithm for hard Uniform Capacitated k-Median violating only the capacities by a factor of $$1,+,epsilon $$. The algorithm is based on a configuration LP. Unlike in the algorithms violating the number of facilities, we cannot simply open extra few facilities at selected locations. Instead, our algorithm decides about the facility openings in a carefully designed dependent rounding process." @default.
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- W2262337340 date "2016-01-01" @default.
- W2262337340 modified "2023-10-16" @default.
- W2262337340 title "An Approximation Algorithm for Uniform Capacitated k-Median Problem with $$1+epsilon $$ Capacity Violation" @default.
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- W2262337340 doi "https://doi.org/10.1007/978-3-319-33461-5_22" @default.
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