Pricing Filtering in Dantzig-Wolfe Decomposition
Discrete Mathematics
2025-09-05 v1
Abstract
Column generation is used alongside Dantzig-Wolfe Decomposition, especially for linear programs having a decomposable pricing step requiring to solve numerous independent pricing subproblems. We propose a filtering method to detect which pricing subproblems may have improving columns, and only those subproblems are solved during pricing. This filtering is done by providing light, computable bounds using dual information from previous iterations of the column generation. The experiments show a significant impact on different combinatorial optimization problems.
Cite
@article{arxiv.2411.11338,
title = {Pricing Filtering in Dantzig-Wolfe Decomposition},
author = {Abdellah Bulaich Mehamdi and Mathieu Lacroix and Sébastien Martin},
journal= {arXiv preprint arXiv:2411.11338},
year = {2025}
}