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In this work, we close this gap by developing a theory of symmetry detection within the BD framework. To this end, we introduce a tailored family of graphs that capture the symmetry information of both the Benders master problem and the Benders oracles. Once symmetries of these graphs are known, which can be found by established techniques, classical symmetry handling approaches become available to accelerate BD. We complement these approaches by devising techniques for the separation and aggregation of symmetric Benders cuts by means of tailored separation routines and extended formulations. Both substantially reduce the number of executions of the separation oracles. In a numerical study, we show the effect of both symmetry handling and cut aggregation for bin packing and scheduling problems.
From: Cédric Roy [view email]
[v1]
Thu, 27 Nov 2025 09:21:12 UTC (36 KB)
[v2]
Wed, 17 Dec 2025 13:17:31 UTC (36 KB)
[v3]
Tue, 23 Jun 2026 15:10:10 UTC (38 KB)
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