Approximation algorithms for hierarchical location problems
نویسندگان
چکیده
منابع مشابه
Approximation Algorithms for Facility Location Problems
This paper surveys approximation algorithms for various facility location problems, mostly with detailed proofs. It resulted from lecture notes of a course held at the University of Bonn in the winter term 2004/2005.
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We present new approximation algorithms for several facility location problems. In each facility location problem that we study, there is a set of locations at which we may build a facility (such as a warehouse), where the cost of building at location i is fi; furthermore, there is a set of client locations (such as stores) that require to be serviced by a facility, and if a client at location ...
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The bounded k-median problem is to select in an undirected graph G = (V, E) a set S of k vertices such that the distance from any vertex v ∈ V to S is at most a given bound d and the average distance from vertices V\S to S is minimized. We present randomized algorithms for several versions of this problem and we prove some inapproximability results. We also study the bounded version of the unca...
متن کاملDistributed Approximation Algorithms for Facility Location Problems
In this paper, some distributed approximation algorithms for uncapacitated facility location problem and fault-tolerant facility location problem are summarized, respectively. The worst-case run time of the distributed version of the uncapacitated facility location problem is ( ) O n , where n is the number of network nodes. In addition, the approximation approach for the fault-tolerant facilit...
متن کاملApproximation Algorithms for Metric Facility Location Problems
In this paper we present a 1.52-approximation algorithm for the metric uncapacitated facility location problem, and a 2-approximation algorithm for the metric capacitated facility location problem with soft capacities. Both these algorithms improve the best previously known approximation factor for the corresponding problem, and our soft-capacitated facility location algorithm achieves the inte...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 2006
ISSN: 0022-0000
DOI: 10.1016/j.jcss.2005.09.004