Secretaries with advice

P Dütting, S Lattanzi, R Paes Leme… - Proceedings of the 22nd …, 2021 - dl.acm.org
The secretary problem is probably the purest model of decision making under uncertainty. In
this paper we ask which advice can we give the algorithm to improve its success probability …

Online weighted matching with a sample

H Kaplan, D Naori, D Raz - Proceedings of the 2022 Annual ACM-SIAM …, 2022 - SIAM
We study the greedy-based online algorithm for edge-weighted matching with (one-sided)
vertex arrivals in bipartite graphs, and edge arrivals in general graphs. This algorithm was …

Sample-driven optimal stopping: From the secretary problem to the iid prophet inequality

J Correa, A Cristi, B Epstein… - … of Operations Research, 2024 - pubsonline.informs.org
We take a unifying approach to single selection optimal stopping problems with random
arrival order and independent sampling of items. In the problem we consider, a decision …

The Secretary Problem with Predictions

K Fujii, Y Yoshida - Mathematics of Operations Research, 2024 - pubsonline.informs.org
The value maximization version of the secretary problem is the problem of hiring a candidate
with the largest value from a randomly ordered sequence of candidates. In this work, we …

Secretary problems: The power of a single sample

P Nuti, J Vondrák - Proceedings of the 2023 Annual ACM-SIAM …, 2023 - SIAM
In this paper, we investigate two variants of the secretary problem. In these variants, we are
presented with a sequence of numbers Xi that come from distributions Di, and that arrive in …

Learning from a sample in online algorithms

CJ Argue, A Frieze, A Gupta… - Advances in Neural …, 2022 - proceedings.neurips.cc
We consider three central problems in optimization: the restricted assignment load-
balancing problem, the Steiner tree network design problem, and facility location clustering …

Sequential search with acquisition uncertainty

DB Brown, C Uru - Management Science, 2024 - pubsonline.informs.org
We study a variation of the classical Pandora's problem in which a decision maker (DM)
sequentially explores alternatives from a given set and learns their values while trying to …

Online resource allocation with samples

N Gorlezaei, P Jaillet, Z Zhou - arXiv preprint arXiv:2210.04774, 2022 - arxiv.org
We study an online resource allocation problem under uncertainty about demand and about
the reward of each type of demand (agents) for the resource. Even though dealing with …

Scheduling in the random-order model

S Albers, M Janke - Algorithmica, 2021 - Springer
Makespan minimization on identical machines is a fundamental problem in online
scheduling. The goal is to assign a sequence of jobs to m identical parallel machines so as …

The secretary problem with predicted additive gap

A Braun, S Sarkar - arXiv preprint arXiv:2409.20460, 2024 - arxiv.org
The secretary problem is one of the fundamental problems in online decision making; a tight
competitive ratio for this problem of $1/\mathrm {e}\approx 0.368$ has been known since the …