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Limit of the Transport Capacity of a Dense Wireless Network
Published online by Cambridge University Press: 14 July 2016
Abstract
It is known that the transport capacity of a dense wireless ad hoc network with n nodes scales like √n. We show that the transport capacity divided by √n approaches a nonrandom limit with probability 1 when the nodes are uniformly distributed on the unit square. To show the existence of the limit, we prove that the transport capacity under the protocol model is a subadditive Euclidean functional and use the machinery of subadditive functions in the spirit of Steele.
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- Copyright © Applied Probability Trust 2010
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