Title
Energy efficient randomised communication in unknown AdHoc networks
Abstract
This paper studies broadcasting and gossiping algorithms in random and general AdHoc networks. Our goal is not only to minimise the broadcasting and gossiping time, but also to minimise the energy consumption, which is measured in terms of the total number of messages (or transmissions) sent. We assume that the nodes of the network do not know the network, and that they can only send with a fixed power, meaning they can not adjust the area sizes that their messages cover. We believe that under these circumstances the number of transmissions is a very good measure for the overall energy consumption. For random networks, we present a broadcasting algorithm where every node transmits at most once. We show that our algorithm broadcasts in O(logn) steps, w.h.p., where n is the number of nodes. We then present a O(dlogn) (d is the expected degree) gossiping algorithm using O(logn) messages per node. For general networks with known diameter D, we present a randomised broadcasting algorithm with optimal broadcasting time O(Dlog(n/D)+log^2n) that uses an expected number of O(log^2n/log(n/D)) transmissions per node. We also show a tradeoff result between the broadcasting time and the number of transmissions: we construct a network such that any oblivious algorithm using a time-invariant distribution requires @W(log^2n/log(n/D)) messages per node in order to finish broadcasting in optimal time. This demonstrates the tightness of our upper bound. We also show that no oblivious algorithm can complete broadcasting w.h.p. using o(logn) messages per node.
Year
DOI
Venue
2009
10.1016/j.tcs.2009.02.002
Theoretical Computer Science
Keywords
DocType
Volume
broadcasting algorithm,randomised broadcasting algorithm,expected number,broadcasting time,adhoc networks,energy efficient randomised communication,randomised algorithms,paper studies broadcasting,oblivious algorithm,broadcasting,broadcasting w,unknown adhoc network,gossiping,optimal broadcasting time,node transmits,algorithm broadcast,energy efficient,data structure,upper bound,cluster computing
Journal
410
Issue
ISSN
Citations 
27-29
Theoretical Computer Science
16
PageRank 
References 
Authors
0.82
25
3
Name
Order
Citations
PageRank
Petra Berenbrink147246.41
Colin Cooper285791.88
Zengjian Hu322812.85