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research article

Connected facility location via random facility sampling and core detouring

Eisenbrand, Friedrich  
•
Grandoni, Fabrizio
•
Rothvoss, Thomas  
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2010
Journal Of Computer And System Sciences

We present a simple randomized algorithmic framework for connected facility location problems. The basic idea is as follows: We run a black-box approximation algorithm for the unconnected facility location problem, randomly sample the clients, and open the facilities serving sampled clients in the approximate solution. Via a novel analytical tool, which we term core detouring, we show that this approach significantly improves over the previously best known approximation ratios for several NP-hard network design problems. For example, we reduce the approximation ratio for the connected facility location problem from 8.55 to 4.00 and for the single-sink rent-or-buy problem from 3.55 to 2.92. The mentioned results can be derandomized at the expense of a slightly worse approximation ratio. The versatility of our framework is demonstrated by devising improved approximation algorithms also for other related problems. (C) 2010 Elsevier Inc. All rights reserved.

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Type
research article
DOI
10.1016/j.jcss.2010.02.001
Web of Science ID

WOS:000281501900002

Author(s)
Eisenbrand, Friedrich  
Grandoni, Fabrizio
Rothvoss, Thomas  
Schafer, Guido
Date Issued

2010

Published in
Journal Of Computer And System Sciences
Volume

76

Start page

709

End page

726

Subjects

Connected facility location

•

Approximation algorithm

•

Randomized algorithm

•

Network design

•

Approximation Algorithms

•

Network Design

•

Steiner Problem

•

Simpler

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
DISOPT  
Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/75226
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