Analysis of d-ary Tree Algorithms with Successive Interference Cancellation

Fuente: arXiv
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Autores principales: Vogel, Quirin, Deshpande, Yash, Stefanović, Cedomir, Kellerer, Wolfgang
Formato: Preprint
Publicado: 2023
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author Vogel, Quirin
Deshpande, Yash
Stefanović, Cedomir
Kellerer, Wolfgang
author_facet Vogel, Quirin
Deshpande, Yash
Stefanović, Cedomir
Kellerer, Wolfgang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2302_08145
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Analysis of d-ary Tree Algorithms with Successive Interference Cancellation
Vogel, Quirin
Deshpande, Yash
Stefanović, Cedomir
Kellerer, Wolfgang
Probability
Information Theory
Networking and Internet Architecture
68W40, 60J85 (Primary), 68W20, 60K20 (Secondary)
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.
title Analysis of d-ary Tree Algorithms with Successive Interference Cancellation
topic Probability
Information Theory
Networking and Internet Architecture
68W40, 60J85 (Primary), 68W20, 60K20 (Secondary)
url https://arxiv.org/abs/2302.08145