ReVEL: Multi-Turn Reflective LLM-Guided Heuristic Evolution via Structured Performance Feedback

Fuente: arXiv
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Main Authors: Van Duc, Cuong, Tuan, Minh Nguyen Dinh, Duc, Tam Vu, Duy, Tung Vu, Van, Son Nguyen, Thi, Hanh Nguyen, Thanh, Binh Huynh Thi
Format: Preprint
Published: 2026
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author Van Duc, Cuong
Tuan, Minh Nguyen Dinh
Duc, Tam Vu
Duy, Tung Vu
Van, Son Nguyen
Thi, Hanh Nguyen
Thanh, Binh Huynh Thi
author_facet Van Duc, Cuong
Tuan, Minh Nguyen Dinh
Duc, Tam Vu
Duy, Tung Vu
Van, Son Nguyen
Thi, Hanh Nguyen
Thanh, Binh Huynh Thi
contents Designing effective heuristics for NP-hard combinatorial optimization problems remains challenging and often requires substantial domain expertise. Recent LLM-guided evolutionary methods have shown promise for automated heuristic generation, but most existing approaches refine heuristics independently or through limited pairwise feedback. We propose ReVEL: Multi-Turn Reflective LLM-Guided Heuristic Evolution via Structured Performance Feedback, a framework for group-wise multi-turn heuristic refinement. ReVEL organizes heuristics into behavior-aware reflective groups, including similarity-driven groups for localized refinement and diversity-driven groups for exploratory search. Within each group, the LLM performs iterative multi-turn refinement using accumulated performance feedback, enabling related heuristics to be jointly analyzed and progressively improved across evolutionary iterations. Experiments on standard combinatorial optimization benchmarks show that ReVEL generally improves optimization performance over existing LLM-guided evolutionary baselines across multiple settings and LLM backbones. Additional analyses suggest that behavior-aware grouping contributes to more consistent refinement trajectories during iterative heuristic evolution.
format Preprint
id arxiv_https___arxiv_org_abs_2604_04940
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle ReVEL: Multi-Turn Reflective LLM-Guided Heuristic Evolution via Structured Performance Feedback
Van Duc, Cuong
Tuan, Minh Nguyen Dinh
Duc, Tam Vu
Duy, Tung Vu
Van, Son Nguyen
Thi, Hanh Nguyen
Thanh, Binh Huynh Thi
Artificial Intelligence
Designing effective heuristics for NP-hard combinatorial optimization problems remains challenging and often requires substantial domain expertise. Recent LLM-guided evolutionary methods have shown promise for automated heuristic generation, but most existing approaches refine heuristics independently or through limited pairwise feedback. We propose ReVEL: Multi-Turn Reflective LLM-Guided Heuristic Evolution via Structured Performance Feedback, a framework for group-wise multi-turn heuristic refinement. ReVEL organizes heuristics into behavior-aware reflective groups, including similarity-driven groups for localized refinement and diversity-driven groups for exploratory search. Within each group, the LLM performs iterative multi-turn refinement using accumulated performance feedback, enabling related heuristics to be jointly analyzed and progressively improved across evolutionary iterations. Experiments on standard combinatorial optimization benchmarks show that ReVEL generally improves optimization performance over existing LLM-guided evolutionary baselines across multiple settings and LLM backbones. Additional analyses suggest that behavior-aware grouping contributes to more consistent refinement trajectories during iterative heuristic evolution.
title ReVEL: Multi-Turn Reflective LLM-Guided Heuristic Evolution via Structured Performance Feedback
topic Artificial Intelligence
url https://arxiv.org/abs/2604.04940