  This paper studies combined relay selection and opportunistic geographic
routing strategies for autonomous wireless sensor networks where transmissions
occur over multiple hops. The proposed solution is built upon three constituent
parts: (i) relay selection algorithm, (ii) contention resolution mechanism, and
(iii) geographic forwarding strategy. Using probability generating function and
spatial point process as the theoretic background, we propose an auction-based
algorithm for selecting the relay node that relies on the network topology as
side-information. Our results show that geographic solutions that iteratively
exploit the local knowledge of the topology to ponder the algorithm operation
outperforms established random approaches.
