[HTML][HTML] Innovative method to solve the minimum spanning tree problem: The Dhouib-Matrix-MSTP (DM-MSTP)

S Dhouib - Results in Control and Optimization, 2024 - Elsevier
Abstract The Minimum Spanning Tree problem aims to create a subset of a graph where all
the vertices are connected with the minimum edge weights and with no cycle. In this field, an …

Learning-augmented query policies for minimum spanning tree with uncertainty

T Erlebach, MS de Lima, N Megow… - arXiv preprint arXiv …, 2022 - arxiv.org
We study how to utilize (possibly erroneous) predictions in a model for computing under
uncertainty in which an algorithm can query unknown data. Our aim is to minimize the …

An adversarial model for scheduling with testing

C Dürr, T Erlebach, N Megow, J Meißner - Algorithmica, 2020 - Springer
We introduce a novel adversarial model for scheduling with explorable uncertainty. In this
model, the processing time of a job can potentially be reduced (by an a priori unknown …

Query-competitive sorting with uncertainty

MM Halldórsson, MS de Lima - Theoretical Computer Science, 2021 - Elsevier
We study the problem of sorting under incomplete information, when queries are used to
resolve uncertainties. Each of n data items has an unknown value, which is known to lie in a …

Sorting and hypergraph orientation under uncertainty with predictions

T Erlebach, MS de Lima, N Megow… - arXiv preprint arXiv …, 2023 - arxiv.org
Learning-augmented algorithms have been attracting increasing interest, but have only
recently been considered in the setting of explorable uncertainty where precise values of …

Orienting (hyper) graphs under explorable stochastic uncertainty

E Bampis, C Dürr, T Erlebach, MS de Lima… - arXiv preprint arXiv …, 2021 - arxiv.org
Given a hypergraph with uncertain node weights following known probability distributions,
we study the problem of querying as few nodes as possible until the identity of a node with …

Query minimization under stochastic uncertainty

S Chaplick, MM Halldórsson, MS de Lima… - Theoretical Computer …, 2021 - Elsevier
We study problems with stochastic uncertainty information on intervals for which the precise
value can be queried by paying a cost. The goal is to devise an adaptive decision tree to find …

Combinatorial Robust Optimization with Decision-Dependent Information Discovery and Polyhedral Uncertainty

J Omer, M Poss, M Rougier - Open Journal of …, 2024 - ojmo.centre-mersenne.org
Given a nominal combinatorial optimization problem, we consider a robust two-stages
variant with polyhedral cost uncertainty, called Decision-Dependent Information Discovery …

[图书][B] Uncertainty exploration: algorithms, competitive analysis, and computational experiments

J Meißner - 2018 - search.proquest.com
Combinatorial optimization captures a wide range of applications such as infrastructure
design and scheduling of tasks. For a fixed number of possible new infrastructure …

Special cases of the minimum spanning tree problem under explorable edge and vertex uncertainty

C Mathwieser, E Çela - Networks, 2024 - Wiley Online Library
This article studies the Minimum Spanning Tree Problem under Explorable Uncertainty as
well as a related vertex uncertainty version of the problem. We particularly consider special …