Abstract | ||
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In Constrained Fault-Tolerant Resource Allocation (FTRA) problem, we are given a set of sites containing facilities as resources and a set of clients accessing these resources. Each site i can open at most Ri facilities with opening cost fi. Each client j requires an allocation of rj open facilities and connecting j to any facility at site i incurs a connection cost cij. The goal is to minimize the total cost of this resource allocation scenario. FTRA generalizes the Unconstrained Fault-Tolerant Resource Allocation (FTRA∞) [10] and the classical Fault-Tolerant Facility Location (FTFL) [7] problems: for every site i, FTRA∞ does not have the constraint Ri, whereas FTFL sets Ri=1. These problems are said to be uniform if all rj's are the same, and general otherwise. For the general metric FTRA, we first give an LP-rounding algorithm achieving an approximation ratio of 4. Then we show the problem reduces to FTFL, implying the ratio of 1.7245 from [2]. For the uniform FTRA, we provide a 1.52-approximation primal-dual algorithm in O(n4) time, where n is the total number of sites and clients. |
Year | DOI | Venue |
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2015 | 10.1007/978-3-642-40164-0_23 | Theor. Comput. Sci. |
Field | DocType | Volume |
Approximation algorithm,Mathematical optimization,Computer science,Facility location problem,Fault tolerance,Resource allocation,Time complexity,Total cost | Journal | 590 |
Issue | Citations | PageRank |
C | 2 | 0.36 |
References | Authors | |
17 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Kewen Liao | 1 | 51 | 11.16 |
Hong Shen | 2 | 499 | 52.98 |
Longkun Guo | 3 | 6 | 5.49 |