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BTBS-LNS: Binarized-Tightening, Branch and Search on Learning LNS Policies for MIP

ICLR 2025 · Learning theory and algorithms › Combinatorial and search optimization · approach: Heuristic and local search algorithms

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Proposes BTBS-LNS, a learned LNS policy for MIP that uses binarized tightening and branch-and-search to avoid prematurely fixing important variables and escape local optima.

Problem

Policy-learning-based Large Neighborhood Search for large-scale Mixed Integer Programs often has a limited explored space, so the learned policy may wrongly fix potentially important variables early, leading to local optima.

Approach

Combines binarized tightening with branch-and-search inside learned LNS so the explored neighborhood space is expanded rather than fixing variables irrevocably early in the search.

Experimental setup

Builds on: large neighborhood search policy learning for LNS

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