Minimum-norm load balancing is (almost) as easy as minimizing makespan

S Ibrahimpur, C Swamy - 48th International Colloquium on …, 2021 - drops.dagstuhl.de
We consider the minimum-norm load-balancing (MinNormLB) problem, wherein there are n
jobs, each of which needs to be assigned to one of m machines, and we are given the …

Scheduling on a Stochastic Number of Machines

M Buchem, F Eberle, HKK Rosado, K Schewior… - arXiv preprint arXiv …, 2024 - arxiv.org
We consider a new scheduling problem on parallel identical machines in which the number
of machines is initially not known, but it follows a given probability distribution. Only after all …

Minimizing completion times for stochastic jobs via batched free times

A Gupta, B Moseley, R Zhou - Proceedings of the 2023 Annual ACM-SIAM …, 2023 - SIAM
We study the classic problem of minimizing the expected total completion time of jobs on m
identical machines in the setting where the sizes of the jobs are stochastic. Specifically, the …

Restricted adaptivity in stochastic scheduling

G Sagnol - arXiv preprint arXiv:2106.15393, 2021 - arxiv.org
We consider the stochastic scheduling problem of minimizing the expected makespan on $
m $ parallel identical machines. While the (adaptive) list scheduling policy achieves an …

A simple approximation algorithm for vector scheduling and applications to stochastic min-norm load balancing

S Ibrahimpur, C Swamy - Symposium on Simplicity in Algorithms (SOSA), 2022 - SIAM
Abstract We consider the Vector Scheduling problem on identical machines: we have m
machines, and a set J of n jobs, where each job j has a processing-time vector. The goal is …

Stochastic minimum norm combinatorial optimization

S Ibrahimpur - 2022 - uwspace.uwaterloo.ca
Motivated by growing interest in optimization under uncertainty, we undertake a systematic
study of designing approximation algorithms for a wide class of 1-stage stochastic …