Decision diagrams for discrete optimization: A survey of recent advances

MP Castro, AA Cire, JC Beck - INFORMS Journal on …, 2022 - pubsonline.informs.org
In the last decade, decision diagrams (DDs) have been the basis for a large array of novel
approaches for modeling and solving optimization problems. Many techniques now use DDs …

A review of literature on parallel constraint solving

IP Gent, I Miguel, P Nightingale… - Theory and Practice of …, 2018 - cambridge.org
As multi-core computing is now standard, it seems irresponsible for constraints researchers
to ignore the implications of it. Researchers need to address a number of issues to exploit …

Utilizing modern computer architectures to solve mathematical optimization problems: A survey

DEB Neira, CD Laird, LR Lueg, SM Harwood… - Computers & Chemical …, 2024 - Elsevier
Numerical algorithms to solve mathematical optimization problems efficiently are essential to
applications in many areas of engineering and computational science. To solve optimization …

An introduction to decision diagrams for optimization

WJ van Hoeve - … Research: Smarter Decisions for a Better …, 2024 - pubsonline.informs.org
This tutorial provides an introduction to the use of decision diagrams for solving discrete
optimization problems. A decision diagram is a graphical representation of the solution …

Peel-and-bound: Generating stronger relaxed bounds with multivalued decision diagrams

I Rudich, Q Cappart, LM Rousseau - arXiv preprint arXiv:2205.05216, 2022 - arxiv.org
Decision diagrams are an increasingly important tool in cutting-edge solvers for discrete
optimization. However, the field of decision diagrams is relatively new, and is still …

Improving the filtering of branch-and-bound MDD solver

X Gillard, V Coppé, P Schaus, AA Cire - International Conference on …, 2021 - Springer
This paper presents and evaluates two pruning techniques to reinforce the efficiency of
constraint optimization solvers based on multi-valued decision-diagrams (MDD). It adopts …

Improved Peel-and-Bound: Methods for generating dual bounds with multivalued decision diagrams

I Rudich, Q Cappart, LM Rousseau - Journal of Artificial Intelligence …, 2023 - jair.org
Decision diagrams are an increasingly important tool in cutting-edge solvers for discrete
optimization. However, the field of decision diagrams is relatively new, and is still …

The shape of the search tree for the maximum clique problem and the implications for parallel branch and bound

C McCreesh, P Prosser - ACM Transactions on Parallel Computing …, 2015 - dl.acm.org
Finding a maximum clique in a given graph is one of the fundamental NP-hard problems.
We compare two multicore thread-parallel adaptations of a state-of-the-art branch-and …

Domain-independent dynamic programming

R Kuroiwa - 2024 - search.proquest.com
Dynamic programming (DP) is a framework used in multiple disciplines to solve decision-
making problems. In particular, in computer science and operations research (OR), DP …

Dual Bounds from Decision Diagram-Based Route Relaxations: An Application to Truck-Drone Routing

Z Tang, WJ van Hoeve - Transportation Science, 2024 - pubsonline.informs.org
For vehicle routing problems, strong dual bounds on the optimal value are needed to
develop scalable exact algorithms as well as to evaluate the performance of heuristics. In …