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DRAGON: LLM-Driven Decomposition and Reconstruction Agents for Large-Scale Combinatorial Optimization

arXiv – CS AI|Shengkai Chen, Zhiguang Cao, Jianan Zhou, Yaoxin Wu, Senthilnath Jayavelu, Zhuoyi Lin, Xiaoli Li, Shili Xiang||4 views
πŸ€–AI Summary

Researchers introduce DRAGON, a new framework that combines Large Language Models with metaheuristic optimization to solve large-scale combinatorial optimization problems. The system decomposes complex problems into manageable subproblems and achieves near-optimal results on datasets with over 3 million variables, overcoming the scalability limitations of existing LLM-based solvers.

Key Takeaways
  • β†’DRAGON framework enables LLMs to solve large-scale combinatorial optimization problems by decomposing them into manageable subproblems.
  • β†’The system achieves near-optimal results with only 0.16% gap on knapsack problems containing over 3 million variables.
  • β†’Unlike existing LLM-based solvers limited to small instances, DRAGON consistently produces feasible solutions on major optimization benchmarks.
  • β†’The framework uses adaptive experience memory and feedback-driven learning to improve optimization performance iteratively.
  • β†’This represents a new paradigm for generalizable and interpretable large-scale optimization using language agents.
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