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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Calinescu, G. |
| Copyright Year | 2006 |
| Description | Author affiliation: Dept. of Comput. Sci., Illinois Inst. of Technol. (Calinescu, G.) |
| Abstract | Summary form only given. There have been papers indicating that the maximal ratio combiner device can result in energy savings in wireless ad hoc networks by using hitch-hiking. We study the min-energy broadcast with hitch-hiking problem, an idealized version of broadcast using hitch-hiking, a problem studied experimentally in the INFOCOM 2004 paper of Agarwal et al. min-energy broadcast with hitch-hiking captures the maximum savings one can achieve in broadcasting using maximal ratio combiners. We show that the optimum of the classical min-energy broadcast problem is at most $O(log^{2}$ n) times the optimum of min-energy broadcast with hitch-hiking, where n is the number of nodes in the networks. We show that this bound is tight up to a constant. Moreover, the same bounds hold for Unicast. In the special case when the nodes are on a line and the power requirement for node u to reach node v is d(u, $v)^{K},$ where d(u, v) the Euclidean distance between u and v and k is the signal attenuation exponent, which is assumed to be in between 2 and 5, we show that the optimum of the min-energy broadcast problem is at most a constant times optimum of min-energy broadcast with hitch-hiking. A formal definition of min-energy broadcast with hitch-hiking is given below. The input consists of a complete directed graph G = (V, E) with power requirement function c : E rarr R+ , and a source s epsi V. The output consists of a permutation tau =< $v_{1},$ $v_{2},$ ..., v $_{n}$ > of V with $v_{n}$ = s and power assignment p(v) of every vertex v. For every 1 les i les i < j les n, define $q(v_{i},$ vj ) = $p(v_{i})/c(v_{i})_{j}).$ An output is feasible if for every j > 1 we have Sigmai = 1 j - 1 $q(v_{i}v_{j})$ ges 1. The objective is to minimize Sigmai = 1 $^{n}$ $p(v_{i})$ |
| Sponsorship | Int. Assoc. for Comput. and Inf. Sci |
| Starting Page | 225 |
| Ending Page | 225 |
| File Size | 87298 |
| Page Count | 1 |
| File Format | |
| ISBN | 076952611X |
| DOI | 10.1109/SNPD-SAWN.2006.25 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2006-06-19 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Computer science Intelligent networks Unicast Broadcast technology Euclidean distance Broadcasting Attenuation Ad hoc networks Mobile ad hoc networks Software engineering |
| Content Type | Text |
| Resource Type | Article |
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