Efficient Local and Tabu Search Strategies for Large-Scale Quadratic Integer Programming
Abstract
This study investigates the area of general quadratic integer programming (QIP), encompassing both unconstrained (UQIP) and constrained (CQIP) variants. These NP-hard problems have far-reaching applications, yet the non-convex cases have received limited attention in the literature. To address this gap, we introduce a closed-form formula for single-variable changes, establishing novel necessary and sufficient conditions for 1-Opt local improvement in UQIP and CQIP. We develop a simple local and sophisticated tabu search with an oscillation strategy tailored for large-scale problems. Experimental results on instances with up to 8000 variables demonstrate the efficiency of these strategies, producing high-quality solutions within a short time. Our approaches significantly outperform the Gurobi 11.0.2 solver.
Cite
@article{arxiv.2409.14176,
title = {Efficient Local and Tabu Search Strategies for Large-Scale Quadratic Integer Programming},
author = {Haibo Wang and Bahram Alidaee},
journal= {arXiv preprint arXiv:2409.14176},
year = {2025}
}
Comments
32 pages, 8 figures