Analysis of d-ary Tree Algorithms with Successive Interference Cancellation
Probability
2025-05-06 v1 Information Theory
Networking and Internet Architecture
math.IT
Abstract
In this article, we calculate the mean throughput, number of collisions, successes, and idle slots for random tree algorithms with successive interference cancellation. Except for the case of the throughput for the binary tree, all the results are new. We furthermore disprove the claim that only the binary tree maximises throughput. Our method works with many observables and can be used as a blueprint for further analysis.
Keywords
Cite
@article{arxiv.2302.08145,
title = {Analysis of d-ary Tree Algorithms with Successive Interference Cancellation},
author = {Quirin Vogel and Yash Deshpande and Cedomir Stefanović and Wolfgang Kellerer},
journal= {arXiv preprint arXiv:2302.08145},
year = {2025}
}
Comments
30 pages, 2 figures, comments welcome