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  Minimizing Flow Time in the Wireless Gathering Problem

Bonifaci, V., Korteweg, P., Marchetti-Spaccamela, A., & Stougie, L. (2011). Minimizing Flow Time in the Wireless Gathering Problem. ACM Transactions on Algorithms, 7(3): 33, pp. 33:1-33:20. doi:10.1145/1978782.1978788.

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© ACM, 2011. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in ACM TRANSACTIONS ON ALGORITHMS, {7, 3, July 2011} http://doi.acm.org/10.1145/1978782.1978788
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Bonifaci, Vincenzo1, Author           
Korteweg, Peter2, Author
Marchetti-Spaccamela, Alberto2, Author
Stougie, Leen2, Author
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              
2External Organizations, ou_persistent22              

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 Abstract: We address the problem of efficient data gathering in a wireless network through multihop communication. We focus on two objectives related to flow times, that is, the times spent by data packets in the system: minimization of the maximum flow time and minimization of the average flow time of the packets. For both problems we prove that, unless P=NP, no polynomial-time algorithm can approximate the optimal solution within a factor less than $\Omega(m^{1-\epsilon})$ for any $0<\epsilon<1$, where $m$ is the number of packets. We then assess the performance of two natural algorithms by proving that their cost remains within the optimal cost of the respective problem if we allow the algorithms to transmit data at a speed 5 times higher than that of the optimal solutions to which we compare them.

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Language(s): eng - English
 Dates: 20112011
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 618715
DOI: 10.1145/1978782.1978788
URI: http://doi.acm.org/10.1145/1978782.1978788
Other: Local-ID: C1256428004B93B8-AE0CC65BAC8BF1D3C1257979005FB068-Bonifaci:2011:b
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Title: ACM Transactions on Algorithms
Source Genre: Journal
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Publ. Info: New York, NY : ACM
Pages: - Volume / Issue: 7 (3) Sequence Number: 33 Start / End Page: 33:1 - 33:20 Identifier: ISSN: 1549-6325