History-Independent Load Balancing

Fuente: arXiv
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Autori principali: Bender, Michael A., Kuszmaul, William, Shi, Elaine, Silver, Rose
Natura: Preprint
Pubblicazione: 2026
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author Bender, Michael A.
Kuszmaul, William
Shi, Elaine
Silver, Rose
author_facet Bender, Michael A.
Kuszmaul, William
Shi, Elaine
Silver, Rose
contents We give a (strongly) history-independent two-choice balls-and-bins algorithm on $n$ bins that supports both insertions and deletions on a set of up to $m$ balls, while guaranteeing a maximum load of $m / n + O(1)$ with high probability, and achieving an expected recourse of $O(\log \log (m/n))$ per operation. To the best of our knowledge, this is the first history-independent solution to achieve nontrivial guarantees of any sort for $m/n \ge ω(1)$ and is the first fully dynamic solution (history independent or not) to achieve $O(1)$ overload with $o(m/n)$ expected recourse.
format Preprint
id arxiv_https___arxiv_org_abs_2602_11953
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle History-Independent Load Balancing
Bender, Michael A.
Kuszmaul, William
Shi, Elaine
Silver, Rose
Data Structures and Algorithms
We give a (strongly) history-independent two-choice balls-and-bins algorithm on $n$ bins that supports both insertions and deletions on a set of up to $m$ balls, while guaranteeing a maximum load of $m / n + O(1)$ with high probability, and achieving an expected recourse of $O(\log \log (m/n))$ per operation. To the best of our knowledge, this is the first history-independent solution to achieve nontrivial guarantees of any sort for $m/n \ge ω(1)$ and is the first fully dynamic solution (history independent or not) to achieve $O(1)$ overload with $o(m/n)$ expected recourse.
title History-Independent Load Balancing
topic Data Structures and Algorithms
url https://arxiv.org/abs/2602.11953