arXiv:2604.26973cs.NEcs.LG2026-04

MAEO框架提升多目标优化效率,兼顾收敛性与多样性。

MAEO: Multiobjective Animorphic Ensemble Optimization for Scalable Large-scale Engineering Applications

论文配图:MAEO: Multiobjective Animorphic Ensemble Optimization for Scalable Large-scale Engineering Applications
图 1 · 摘自论文原文
  • 采用岛屿架构集成四种算法,参数无关的超体积指标评估性能。
  • 在36个高维测试场景中表现均衡,优于或媲美主流算法。
  • 成功应用于小型堆设计,4万次仿真后找到低成本高安全方案。

多目标优化在科学与工程问题中仍具挑战,需在高维目标空间中平衡收敛性、多样性和计算效率。本文提出多目标仿生集成优化(MAEO)框架,一种可并行的集成策略,将主流进化算法统一于岛屿架构中,克服单一优化器的局限性。MAEO使用无参数的超体积指标评估岛屿性能,并采用基于严格帕累托等级的个体评分机制,结合拥挤度与远点接近度,确保各前沿内选择压力一致。框架初始化采用四种算法(NSGA-III、CTAEA、AGEMOEA2、SPEA2),在12个DTLZ/ZDT测试函数上,36种维度设置下进行广泛基准测试,使用威尔科克斯秩和检验,以超体积与逆生成距离为评价指标。结果表明,MAEO实现收敛性与多样性的良好平衡,在不同测试问题中表现优于或媲美领先算法。为验证实际应用能力,将MAEO用于小型模块化核反应堆的平衡循环优化,优化8个离散设计变量与3个目标(平准化电力成本、峰值可溶硼浓度、燃料循环长度),满足两个安全约束。算法共执行约40000次计算机仿真,识别出同时降低平准化电力成本与峰值硼浓度、维持燃料循环长度并满足所有安全约束的核心设计方案。

原文摘要 · Abstract (English)

Multiobjective optimization remains challenging for many scientific and engineering problems due to the need to balance convergence, diversity, and computational efficiency across high-dimensional objective landscapes. This work presents the Multiobjective Animorphic Ensemble Optimization (MAEO) framework, a parallelizable ensemble strategy that unifies state-of-the-art evolutionary algorithms within an island-based architecture, overcoming the limitations of relying on a single optimizer, as implied by the No Free Lunch theorem. MAEO uses a parameter-free hypervolume indicator for island performance assessment and a strict Pareto-rank-based individual scoring formulation that incorporates crowding distance and nadir-point proximity to ensure consistent selection pressure within each front. The framework is initiated using four algorithms (NSGA-III, CTAEA, AGEMOEA2, SPEA2) and evaluated through extensive benchmarking on 12 DTLZ/ZDT functions under 36 dimensionality settings using Wilcoxon signed-rank tests with both hypervolume and inverse generational distance metrics. Results show that MAEO achieves balanced convergence-diversity performance, outperforming or matching some of the leading multiobjective optimization algorithms across different benchmark problems. To demonstrate practical applicability, MAEO is applied to the equilibrium-cycle optimization of a small modular nuclear reactor. Eight discrete design variables (and three objectives (levelized cost of electricity, peak soluble boron concentration, fuel cycle length) are optimized under two safety constraints. The algorithm carried out roughly 40000 evaluations using computer simulations. MAEO identifies core designs that lower both the levelized cost of electricity and the peak boron concentration, while preserving fuel cycle length and meeting all safety constraints.

多目标优化进化算法核能设计仿真优化

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