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- W2914878181 abstract "We introduce a natural variant of the (metric uncapacitated) k-median problem that we call the online median problem. Whereas the k-median problem involves optimizing the simultaneous placement of k facilities, the online median problem imposes the following additional constraints: the facilities are placed one at a time; a facility, once placed, cannot be moved; the total number of facilities to be placed, k, is not known in advance. The objective of an online median algorithm is to minimize competitive ratio, that is, the worst-case ratio of the cost of an online placement to that of an optimal offline placement. Our main result is a linear-time constant-competitive algorithm for the online median problem. In addition, we present a related, though substantially simpler, linear-time constant-factor approximation algorithm for the (metric uncapacitated) facility location problem. The latter algorithm is similar in spirit to the recent primal-dual-based facility location algorithm of Jain and Vazirani, but our approach is more elementary and yields an improved running time." @default.
- W2914878181 created "2019-02-21" @default.
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- W2914878181 date "1999-11-01" @default.
- W2914878181 modified "2023-09-26" @default.
- W2914878181 title "The Online Median Problem" @default.
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