Solving conflicts of known multiplicity
Gil-Agudo Ángel, Terrence L. Fine · 2003
We consider collision resolution protocols for a random access collision channel with multiplicity feedback. By using Markov decision processes, we provide performance bounds for such systems in terms of the mean number of slots required to resolve a collision of a given multiplicity. We show that recursive binary splitting is strictly suboptimal for all collisions of size n>3, and we find the optimal protocol for the case n=4.