MPI-INF D1 Publications: Journal Article: Combinatorial Algorithms for Data Migration to Minimize Average Completion Time

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Author, Editor(s)

Author(s):

Gandhi, Rajiv
Mestre, Julián

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Not MPG Author(s):

Gandhi, Rajiv

BibTeX cite key*:

journal/algo/GandhiM2007

Title

Title*:

Combinatorial Algorithms for Data Migration to Minimize Average Completion Time

Journal

Journal Title*:	Algorithmica	Journal's URL:	http://www.springerlink.com/content/100117/
Download URL for the article:	http://www.springerlink.com/content/7626hqk810344n01/fulltext.pdf	Language:	English

Publisher

Publisher's Name:	Springer	Publisher's URL:	http://www.springer.com
Publisher's Address:	New York, NY	ISSN:	0178-4617

Vol, No, pp, Date

Volume*:	54	Number:	1
Publishing Date:	November 2009
Pages*:	54-71	Number of VG Pages:
Page Start:	54	Page End:	71
Sequence Number:		DOI:	10.1007/s00453-007-9118-2

Note, Abstract, ©

Note:
(LaTeX) Abstract:	The \textit{data migration} problem is to compute an efficient plan for moving data stored on devices in a network from one configuration to another. It is modeled by a transfer graph, where vertices represent the storage devices, and edges represent data transfers required between pairs of devices. Each vertex has a non-negative weight, and each edge has a processing time. A vertex completes when all the edges incident on it complete; the constraint is that two edges incident on the same vertex cannot be processed simultaneously. The objective is to minimize the sum of weighted completion times of all vertices. Kim (\textit{Journal of Algorithms, 55:42-57, 2005}) gave an LP-rounding $3$-approximation algorithm when edges have unit processing times. We give a more efficient primal-dual algorithm that achieves the same approximation guarantee. When edges have arbitrary processing times we give a primal-dual 5.83-approximation algorithm. We also study a variant of the open shop scheduling problem. This is a special case of the data migration problem in which the transfer graph is bipartite and the objective is to minimize the completion times of edges. We present a simple algorithm that achieves an approximation ratio of \mbox{$\sqrt{2} \approx 1.414$}, thus improving the 1.796-approximation given by Gandhi~\etal\ (\textit{ACM Transaction on Algorithms, 2(1):116-129}, 2006). We show that the analysis of our algorithm is almost tight.
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Categories, Keywords:	Primal-dual algorithms - Approximation algorithms - Min-sum scheduling problems
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Copyright Message:	Springer Open Access
Personal Comments:
Download Access Level:	Public

Correlation

MPG Unit:	Max-Planck-Institut für Informatik

MPG Subunit:	Algorithms and Complexity Group
Appearance:	MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort

BibTeX Entry:

@ARTICLE{journal/algo/GandhiM2007,
AUTHOR = {Gandhi, Rajiv and Mestre, Juli{\'a}n},
TITLE = {Combinatorial Algorithms for Data Migration to Minimize Average Completion Time},
JOURNAL = {Algorithmica},
PUBLISHER = {Springer},
YEAR = {2009},
NUMBER = {1},
VOLUME = {54},
PAGES = {54--71},
ADDRESS = {New York, NY},
MONTH = {November},
ISBN = {0178-4617},
DOI = {10.1007/s00453-007-9118-2},
}

Entry last modified by Anja Becker, 03/05/2010

Edit History (please click the blue arrow to see the details)

	Editor(s) [Library]	Created 06/04/2008 14:32:15
Revisions 9. 8. 7. 6. 5.	Editor(s) Anja Becker Anja Becker Julian Mestre Julian Mestre Julian Mestre	Edit Dates 05.03.2010 14:59:36 05.03.2010 14:56:30 01/08/2010 04:50:57 PM 02/16/2009 09:38:24 AM 02/16/2009 09:34:24 AM

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