Work

MAEO: Scalable Multiobjective Animorphic Ensemble Optimization for large-scale optimization applications

Year: 2026

Type: article

Abstract: 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 (seven assembly enrichments and burnable absorber configuration) and three objectives (levelized fuel cost, peak soluble boron concentration, fuel cycle length) are optimized under two safety constraints. The algorithm carried out 80,000 evaluations using computer simulations. MAEO identifies core designs that lower both the levelized fuel cost and the peak boron concentration, while preserving fuel cycle length and meeting all safety constraints. These findings highlight MAEO’s effectiveness for high-dimensional and large-scale engineering optimization.

Source: Nuclear Engineering and Design

DOI: 10.1016/j.nucengdes.2026.115156

Authors: Omer F. Erdem, Dean Price, Paul Seurin, Majdi I. Radaideh

Institutions: University of Michigan, Massachusetts Institute of Technology, Idaho National Laboratory

Language: English

Topic: Advanced Multi-Objective Optimization Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,710

Funders: U.S. Department of Energy, Office of Nuclear Energy, Nuclear Energy University Program