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The authors study the problem of optimal sequential ("As-you-go") deployment of wireless relay nodes, as a person walks along a line of random length (with a known distribution). The objective is to create an impromptu multi-hop wireless network for connecting a packet source to be placed at the end of the line with a sink node located at the starting point, to operate in the light traffic regime. In walking from the sink towards the source, at every step, measurements yield the transmit powers required to establish links to one or more previously placed nodes.
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