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Optimal ThroughputDelay Tradeoff in Wireless Networks – Part I: The Fluid Model,” to appear
 IEEE Trans. on Inform. Th
, 2006
"... network model for studying the way throughput scales in a wireless network when the nodes are fixed, and showed that the throughput per sourcedestination pair is. Grossglauser and Tse (2001) showed that when nodes are mobile it is possible to have a constant or throughput scaling per sourcedestina ..."
Abstract

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network model for studying the way throughput scales in a wireless network when the nodes are fixed, and showed that the throughput per sourcedestination pair is. Grossglauser and Tse (2001) showed that when nodes are mobile it is possible to have a constant or throughput scaling per sourcedestination pair. The focus of this paper is on characterizing the delay and determining the throughputdelay tradeoff in such fixed and mobile ad hoc networks. For the GuptaKumar fixed network model, we show that the optimal throughputdelay tradeoff is given by, where and are the throughput and delay respectively. For the GrossglauserTse mobile network model, we show that the delay scales as, where,.# is the velocity of the mobile nodes. We then describe a scheme that achieves the optimal order of delay for any given throughput. The scheme varies (i) the number of hops, (ii) the transmission range and (iii) the degree of node mobility to achieve the optimal throughputdelay tradeoff. The scheme produces a range of models that capture the GuptaKumar model at one extreme and the GrossglauserTse model at the other. In the course of our work, we recover previous results of Gupta and Kumar, and Grossglauser and Tse using simpler techniques, which might be of a separate interest. Keywords: Stochastic processes/Queueing theory, Combinatorics, Information theory, Statistics.