Abstract
We study message advancement in ad hoc sensor networks when each node has a randomly distributed transmission radius. The effects of this assumption are outlined and communication considerations are addressed. We introduce communication models and study some specific examples of random transmission models. We derive asymptotic expressions for single hop moments. Based on previous work, we derive multiple integral expressions and evaluate them with quasi-Monte Carlo methods. Theoretical analysis is compared with routing simulations. We discuss the mathematical difficulties faced when analyzing certain models, and give future model extensions and research directions.
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