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arXiv · 0807.2859

The Transport Capacity of a Wireless Network is a Subadditive Euclidean Functional

Radha Krishna Ganti·Martin Haenggi
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Abstract

The transport capacity of a dense ad hoc network with n nodes scales like \sqrt(n). We show that the transport capacity divided by \sqrt(n) approaches a non-random limit with probability one when the nodes are i.i.d. distributed on the unit square. 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 to show the existence of the limit.

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Radha Krishna Ganti, Martin Haenggi. 2008-07-17. The Transport Capacity of a Wireless Network is a Subadditive Euclidean Functional. https://doi.org/10.1239/jap/1285335416

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