Minimizing Flow Time in the Wireless Gathering Problem

Authors Vincenzo Bonifaci, Peter Korteweg, Alberto Marchetti-Spaccamela, Leen Stougie



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Author Details

Vincenzo Bonifaci
Peter Korteweg
Alberto Marchetti-Spaccamela
Leen Stougie

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Vincenzo Bonifaci, Peter Korteweg, Alberto Marchetti-Spaccamela, and Leen Stougie. Minimizing Flow Time in the Wireless Gathering Problem. In 25th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 1, pp. 109-120, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008) https://doi.org/10.4230/LIPIcs.STACS.2008.1338

Abstract

We address the problem of efficient data gathering in a wireless
   network through multi-hop communication.  We focus on the objective
   of minimizing the maximum flow time of a data packet.  We prove
   that no polynomial time algorithm for this problem can have
   approximation ratio less than $Omega(m^{1/3)$ when $m$ packets
   have to be transmitted, unless $P = NP$.  We then use resource
   augmentation to assess the performance of a FIFO-like strategy.  We
   prove that this strategy is 5-speed optimal, i.e., its cost remains
   within the optimal cost if we allow the algorithm to transmit data
   at a speed 5 times higher than that of the optimal solution we
   compare to.

Subject Classification

Keywords
  • Wireless networks
  • data gathering
  • approximation algorithms
  • distributed algorithms

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