一种可解释的优化算法,能高效解决工业与可靠性冗余分配问题。
An Explainable Reconfiguration-Based Optimization Algorithm for Industrial and Reliability-Redundancy Allocation Problems
- 基于参数重配置和混沌映射机制,提升搜索效率与收敛速度。
- 在28个基准测试、15个工业问题和7个可靠性问题中均优于现有方法。
- 融合SHAP解释技术,揭示关键参数对决策的影响,适合工程落地场景。
工业与可靠性优化问题常涉及复杂约束,亟需高效且可解释的解决方案。本文提出AI-AEFA,一种基于参数重配置的元启发式算法,用于求解大规模工业与可靠性冗余分配问题。该算法通过新型对数Sigmoid参数自适应机制与混沌映射,显著增强搜索空间探索能力与收敛效率。在28个IEEE CEC 2017约束基准问题、15个大型工业优化问题及7个可靠性冗余分配问题上验证,其可行性、计算效率与收敛速度均优于当前主流优化方法。核心贡献之一是引入SHAP(Shapley Additive Explanations)以增强AI-AEFA的可解释性,揭示库仑常数、电荷、加速度及静电力等关键参数对优化过程的影响。该可解释性使用户能够深入理解算法内部决策逻辑,确认AI-AEFA是一种鲁棒、可扩展且具备实际应用价值的优化工具。
原文摘要 · Abstract (English)
Industrial and reliability optimization problems often involve complex constraints and require efficient, interpretable solutions. This paper presents AI-AEFA, an advanced parameter reconfiguration-based metaheuristic algorithm designed to address large-scale industrial and reliability-redundancy allocation problems. AI-AEFA enhances search space exploration and convergence efficiency through a novel log-sigmoid-based parameter adaptation and chaotic mapping mechanism. The algorithm is validated across twenty-eight IEEE CEC 2017 constrained benchmark problems, fifteen large-scale industrial optimization problems, and seven reliability-redundancy allocation problems, consistently outperforming state-of-the-art optimization techniques in terms of feasibility, computational efficiency, and convergence speed. The additional key contribution of this work is the integration of SHAP (Shapley Additive Explanations) to enhance the interpretability of AI-AEFA, providing insights into the impact of key parameters such as Coulomb's constant, charge, acceleration, and electrostatic force. This explainability feature enables a deeper understanding of decision-making within the AI-AEFA framework during the optimization processes. The findings confirm AI-AEFA as a robust, scalable, and interpretable optimization tool with significant real-world applications.
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