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The authors study the problem of wireless sensor network design by deploying a minimum number of additional relay nodes (to minimize network cost) at a subset of given potential relay locations, in order to convey the data from already existing sensor nodes (hereafter called source nodes) to a Base Station, while meeting a certain specified hop count bound (the hop count bound is chosen to ensure a pre-determined probability of the data being delivered to the BS within a given maximum delay). They study two variations of the problem.
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