On Uniform Capacitated k -Median Beyond the Natural LP Relaxation
نویسندگان
چکیده
منابع مشابه
A On Uniform Capacitated k-Median Beyond the Natural LP Relaxation
In this paper, we study the uniform capacitated k-median problem. In the problem, we are given a set F of potential facility locations, a set C of clients, a metric d over F ∪ C, an upper bound k on the number of facilities we can open and an upper bound u on the number of clients each facility can serve. We need to open a subset S ⊆ F of k facilities and connect clients in C to facilities in S...
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In the k-median problem, given a set of locations, the goal is to select a subset of at most k centers so as to minimize the total cost of connecting each location to its nearest center. We study the uniform hard capacitated version of the k-median problem, in which each selected center can only serve a limited number of locations. Inspired by the algorithm of Charikar, Guha, Tardos and Shmoys,...
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In the capacitated k-median (CKM) problem, we are given a set F of facilities, each facility i ∈ F with a capacity ui, a set C of clients, a metric d over F ∪ C and an integer k. The goal is to open k facilities in F and connect the clients C to the open facilities such that each facility i is connected by at most ui clients, so as to minimize the total connection cost. In this paper, we give t...
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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, Shi Li [SODA’15, SODA’16] gave algorithms violating the number of facilities by a factor of 1 + exploring prope...
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ژورنال
عنوان ژورنال: ACM Transactions on Algorithms
سال: 2017
ISSN: 1549-6325,1549-6333
DOI: 10.1145/2983633