local broadcasting in the physical interference model
In this work we analyze the complexity of local broadcasting in the physical interference model. We present two distributed randomized algorithms: one that assumes that each node knows how many nodes there are in its geographical proximity, and another, which makes no assumptions about topology knowledge. We show that, if the transmission probability of each node meets certain characteristics, the analysis can be decoupled from the global nature of the physical interference model, and each node performs a successful local broadcast in time proportional to the number of neighbors in its physical proximity. We also provide worst-case optimality guarantees for both algorithms and demonstrate their behavior in average scenarios through simulations.
local broadcast physical interference model sinr distributed algorithms wireless networks scheduling