Analysis of d-ary tree algorithms with successive interference cancellation

Quirin Vogel*, Yash Deshpande, Cedomir Stefanović, Wolfgang Kellerer

*Kontaktforfatter

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Abstract

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 maximizes throughput. Our method works with many observables and can be used as a blueprint for further analysis.

OriginalsprogEngelsk
TidsskriftJournal of Applied Probability
Vol/bind61
Udgave nummer3
Sider (fra-til)1075-1105
Antal sider31
ISSN0021-9002
DOI
StatusUdgivet - 1 sep. 2024

Bibliografisk note

Publisher Copyright:
© The Author(s), 2024.

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