Balanced allocations: The heavily loaded case with deletions

N Bansal, W Kuszmaul - 2022 IEEE 63rd Annual Symposium …, 2022 - ieeexplore.ieee.org
In the 2-choice allocation problem, m balls are placed into n bins, and each ball must
choose between two random bins i,j∈n that it has been assigned to. It has been known for …

SIGACT news online algorithms column 38: 2021 in review

F Hohne, S Schmitt, R van Stee - ACM SIGACT News, 2022 - dl.acm.org
In this column, we will discuss some papers in online algorithms that appeared in 2021. As
usual, we make no claim at complete coverage here, and have instead made a selection. If …

Bamboo trimming revisited: Simple algorithms can do well too

J Kuszmaul - Proceedings of the 34th ACM Symposium on …, 2022 - dl.acm.org
The bamboo trimming problem considers n bamboo with growth rates h1, 2,..., satisfying
Σihi= 1. During a given unit of time, each bamboo grows by hi, and then the bamboo …

Cutting bamboo down to size

D Bilò, L Gualà, S Leucci, G Proietti… - Theoretical Computer …, 2022 - Elsevier
This paper studies the problem of programming a robotic panda gardener to keep a bamboo
garden from obstructing the view of the lake by your house. The garden consists of n …

Perpetual maintenance of machines with different urgency requirements

L Gąsieniec, T Jurdziński, R Klasing… - Journal of Computer and …, 2024 - Elsevier
A garden is populated by n bamboos, each with its own daily growth rate. The Bamboo
Garden Trimming Problem (BGT) is to design for a robotic gardener a perpetual schedule of …

Randomized Data Structures: New Perspectives and Hidden Surprises

W Kuszmaul - 2023 - dspace.mit.edu
This thesis revisits some of the oldest and most basic questions in the theory of randomized
data structures—questions such as: How efficient is a linear probing hash table? How fast …

Optimal time-backlog tradeoffs for the variable-processor cup game

W Kuszmaul, S Narayanan - arXiv preprint arXiv:2205.01722, 2022 - arxiv.org
The\emph {$ p $-processor cup game} is a classic and widely studied scheduling problem
that captures the setting in which a $ p $-processor machine must assign tasks to processors …

Fractional Bamboo Trimming

A Beikmohammadi¹, W Evans… - SOFSEM 2024: Theory …, 2024 - books.google.com
This paper studies two related scheduling problems: fractional bamboo trimming and
distributed windows scheduling. In the fractional bamboo trimming problem, we are given n …

Fractional Bamboo Trimming and Distributed Windows Scheduling

A Beikmohammadi, W Evans… - … Conference on Current …, 2024 - Springer
This paper studies two related scheduling problems: fractional bamboo trimming and
distributed windows scheduling. In the fractional bamboo trimming problem, we are given n …

The cost of being restricted by time, knowledge or fairness in scheduling and allocation problems

F Höhne - 2022 - dspace.ub.uni-siegen.de
In this thesis, we consider a variety of problems where solutions must be found while
adhering to some kind of restriction. We measure the performance of our algorithms by …