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The authors consider a dense, ad hoc wireless network in a single cell framework, i.e., only one successful transmission is supported at a time. Data packets are sent between source-destination pairs by multihop relaying. They assume that all hops are of length d meters, where d is a design parameter. They consider a multi-access contention scheme and assume that every node always has data to send, either originated from it or a transit packet (saturation assumption). Their objective is to maximize the transport capacity of the network (measured in bit-meters per second) over power controls (in a fading environment) and over the hop distance d (a routing parameter), subject to an average power constraint.
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