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arXiv CS.AI
7/22/2026
MILP-Evo: Closed-Loop Fully Automatic Design of MILP Solvers

MILP-Evo: Closed-Loop Fully Automatic Design of MILP Solvers

Short summary

MILP-Evo casts automatic MILP solver design as LLM-guided closed-loop search over executable white-box components, evaluated by direct solver execution. Candidate programs for cut selectors and branching rules are iteratively generated, loaded into SCIP, and refined based on end-to-end performance feedback. Across four benchmark families, the approach discovers competitive domain-specialized policies that are inspectable and deployable within standard solver workflows.

  • Uses LLM-guided closed-loop search to auto-design MILP solver components
  • Candidate programs evaluated by direct execution in SCIP with performance-based selection
  • Discovers competitive domain-specialized policies across four benchmark families

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