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 …
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 …
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 …
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 …
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 …