State-of-the-art Methods for Pseudo-Boolean Solving with SCIP
Optimization and Control
2025-01-09 v2
Abstract
The Pseudo-Boolean problem deals with linear or polynomial constraints with integer coefficients over Boolean variables. The objective lies in optimizing a linear objective function, or finding a feasible solution, or finding a solution that satisfies as many constraints as possible. In the 2024 Pseudo-Boolean competition, solvers incorporating the SCIP framework won five out of six categories it was competing in. From a total of 1,207 instances, SCIP successfully solved 759, while its parallel version FiberSCIP solved 776. Based on the results from the competition, we further enhanced SCIP's Pseudo-Boolean capabilities. This article discusses the results and presents the winning algorithmic ideas.
Keywords
Cite
@article{arxiv.2501.03390,
title = {State-of-the-art Methods for Pseudo-Boolean Solving with SCIP},
author = {Gioni Mexi and Dominik Kamp and Yuji Shinano and Shanwen Pu and Alexander Hoen and Ksenia Bestuzheva and Christopher Hojny and Matthias Walter and Marc E. Pfetsch and Sebastian Pokutta and Thorsten Koch},
journal= {arXiv preprint arXiv:2501.03390},
year = {2025}
}