Abstract
In recent years, the development of new types of nuclear reactors, such as transportable, marine, and space reactors, has presented new challenges for the optimization of reactor radiation-shielding design. Shielding structures typically need to be lightweight, miniaturized, and radiation-protected, which is a multi-parameter and multi-objective optimization problem. The conventional multi-objective (two or three objectives) optimization method for radiation-shielding design exhibits limitations for a number of optimization objectives and variable parameters, as well as a deficiency in achieving a global optimal solution, thereby failing to meet the requirements of shielding optimization for newly developed reactors. In this study, genetic and artificial bee-colony algorithms are combined with a reference-point-selection strategy and applied to the many-objective (having four or more objectives) optimal design of reactor radiation shielding. To validate the reliability of the methods, an optimization simulation is conducted on three-dimensional shielding structures and another complicated shielding-optimization problem. The numerical results demonstrate that the proposed algorithms outperform conventional shielding-design methods in terms of optimization performance, and they exhibit their reliability in practical engineering problems. The many-objective optimization algorithms developed in this study are proven to efficiently and consistently search for Pareto-front shielding schemes. Therefore, the algorithms proposed in this study offer novel insights into improving the shielding-design performance and shielding quality of new reactor types.








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The data that support the findings of this study are openly available in Science Data Bank at https://cstr.cn/31253.11.sciencedb.j00186.00575 and https://doi.org/10.57760/sciencedb.j00186.00575.
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All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by Cheng-Wei Liu, Ai-Kou Sun, Hong-Yu Qu, and Zhen-Ping Chen. The first draft of the manuscript was written by Cheng-Wei Liu, and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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This work was supported by the National Natural Science Foundation of China (Nos. 12475174 and 12175101) and YueLuShan Center Industrial Innovation (No. 2024YCII0108).
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Liu, CW., Sun, AK., Lei, JC. et al. Many-objective evolutionary algorithms based on reference-point-selection strategy for application in reactor radiation-shielding design. NUCL SCI TECH 36, 105 (2025). https://doi.org/10.1007/s41365-025-01683-7
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DOI: https://doi.org/10.1007/s41365-025-01683-7
