Exploiting geometry in the SINRk model

Rom Aschner, Gui Citovsky, Matthew J. Katz

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

We introduce the SINRk model, which is a practical version of the SINR model. In the SINRk model, in order to determine whether s’s signal is received at c, where s is a sender and c is a receiver, one only considers the k most significant senders w.r.t. to c (other than s). Assuming uniform power, these are the k closest senders to c (other than s). Under this model, we consider the well-studied scheduling problem: Given a set L of sender-receiver requests, find a partition of L into a minimum number of subsets (rounds), such that in each subset all requests can be satisfied simultaneously. We present an O(1)- approximation algorithm for the scheduling problem (under the SINRk model). For comparison, the best known approximation ratio under the SINR model is O(log n). We also present an O(1)-approximation algorithm for the maximum capacity problem (i.e., for the single round problem), obtaining a constant of approximation which is considerably better than those obtained under the SINR model. Finally, for the special case where k = 1, we present a PTAS for the maximum capacity problem. Our algorithms are based on geometric analysis of the SINRk model.

Original languageEnglish
Title of host publicationAlgorithms for Sensor Systems - 10th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2014, Revised Selected Papers
EditorsJie Gao, Alon Efrat, Sándor P. Fekete, Yanyong Zhang
PublisherSpringer Verlag
Pages125-135
Number of pages11
ISBN (Electronic)9783662460177
DOIs
StatePublished - 1 Jan 2015
Event10th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2014 - Wroclaw, Poland
Duration: 12 Sep 201412 Sep 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8847
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference10th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2014
Country/TerritoryPoland
CityWroclaw
Period12/09/1412/09/14

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science (all)

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