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The market split problem seems to be difficult to solve with the conventional branch-and-cut approach of integer linear programming software which reportedly can handle QOBLIB instances up to $m=7$. In contrast, a new GPU implementation of the Schroeppel-Shamir algorithm solves instances up to $m=11$.
In this note we report about experiments with an algorithm that reduces the market split problem to a lattice problem. With the author's most recent implementation - named solvediophant - instances of the QOBLIB market split benchmark problems can be solved up to $m=14$ on a standard computer.
From: Alfred Wassermann [view email]
[v1]
Tue, 12 Aug 2025 07:46:04 UTC (8 KB)
[v2]
Thu, 25 Jun 2026 16:54:45 UTC (42 KB)
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