Solving Steiner trees: Recent advances, challenges, and perspectives

I Ljubić - Networks, 2021 - Wiley Online Library
The Steiner tree problem (STP) in graphs is one of the most studied problems in
combinatorial optimization. Since its inception in 1970, numerous articles published in the …

Solving mixed integer programs using neural networks

V Nair, S Bartunov, F Gimeno, I Von Glehn… - arxiv preprint arxiv …, 2020 - arxiv.org
Mixed Integer Programming (MIP) solvers rely on an array of sophisticated heuristics
developed with decades of research to solve large-scale MIP instances encountered in …

Computational sustainability: Computational methods for a sustainable environment, economy, and society

CP Gomes - Frontiers of Engineering: Reports on Leading-Edge …, 2010 - books.google.com
The dramatic depletion of natural resources in the last century now threatens our planet and
the livelihood of future generations. Our Common Future, a report by the World Commission …

Solving connected subgraph problems in wildlife conservation

B Dilkina, CP Gomes - International conference on integration of artificial …, 2010 - Springer
We investigate mathematical formulations and solution techniques for a variant of the
Connected Subgraph Problem. Given a connected graph with costs and profits associated …

Upgrading shortest paths in networks

B Dilkina, KJ Lai, CP Gomes - Integration of AI and OR Techniques in …, 2011 - Springer
Abstract We introduce the Upgrading Shortest Paths Problem, a new combinatorial problem
for improving network connectivity with a wide range of applications from multicast …

Faster algorithms for Steiner tree and related problems: From theory to practice

D Rehfeldt - International Conference on Operations Research, 2022 - Springer
The Steiner tree problem in graphs (SPG) is a classic-hard problem. Many applications can
be modeled as SPG or closely related problems. This article describes a state-of-the-art …

Scalable Primal Heuristics Using Graph Neural Networks for Combinatorial Optimization

F Cantürk, T Varol, R Aydoğan, OÖ Özener - Journal of Artificial Intelligence …, 2024 - jair.org
By examining the patterns of solutions obtained for various instances, one can gain insights
into the structure and behavior of combinatorial optimization (CO) problems and develop …

Connections in networks: A hybrid approach

CP Gomes, WJ Van Hoeve, A Sabharwal - … of AI and OR Techniques in …, 2008 - Springer
This paper extends our previous work by exploring the use of a hybrid solution method for
solving the connection subgraph problem. We employ a two phase solution method, which …

[HTML][HTML] The min-Knapsack problem with compactness constraints and applications in statistics

A Santini, E Malaguti - European Journal of Operational Research, 2024 - Elsevier
In the min-Knapsack problem, one is given a set of items, each having a certain cost and
weight. The objective is to select a subset with minimum cost, such that the sum of the …

Robust network design for multispecies conservation

R Le Bras, B Dilkina, Y Xue, C Gomes… - Proceedings of the …, 2013 - ojs.aaai.org
Our work is motivated by an important network design application in computational
sustainability concerning wildlife conservation. In the face of human development and …