NUCLEAR TECHNIQUES, Volume. 48, Issue 2, 020501(2025)
Radiation shielding optimization based on dynamic radial basis surrogate model of particle flight
Figures & Tables(9)
Fig. 3. The updating process of sample points in different stages (color online)(a) Early-term search phase, (b) Mid-term search stage, (c) End-term search phase
Fig. 4. Box diagram of calculation results on 12 numerical test functions
Fig. 6. Convergence curve of three dynamic surrogate models used for optimization (color online)
Table 1. Results of benchmark functions
View tableView in ArticleTable 1. Results of benchmark functions
函数名
Fucntion
维度
D
MPS TR-DRBF PF-DRBF fmean fSD Kmean fmean fSD Kmean fmean fSD Kmean F1 5 8.37 6.52 178.65 0 0 145.00 0 0 97.50 F2 5 10.72 4.21 92.25 13.64 12.32 132.00 3.31 0.73 65.50 F3 9 5 246.94 1 519.71 408.20 2 710.02 2 406.48 657.00 16.65 15.53 328.75 F4 9 33.88 10.74 291.15 22.80 8.75 381.60 7.28 1.78 115.00 F5 9 575.33 405.77 428.05 29.23 62.31 677.70 12.91 4.98 209.00 F6 13 29.00 11.15 762.60 5.13 1.41 930.80 4.28 1.00 262.75 F7 13 0.46 0.27 496.40 0.39 0.22 741.00 0.06 0.04 144.25 F8 5 -1 084.59 237.96 112.60 -610.06 223.13 173.00 -1 317.96 192.37 93.75 F9 5 38.37 9.74 95.20 49.22 14.73 130.50 20.82 8.99 88.75 F10 9 12.71 3.64 237.00 10.70 3.58 371.70 6.66 1.74 100.00 F11 9 0.80 0.12 231.00 0.59 0.23 369.00 0.08 0.04 100.00 F12 13 9.18 4.38 641.30 15.29 6.34 752.70 1.96 1.94 205.50
Table 2. Results of Wilcoxon rank-sum test
View tableView in ArticleTable 2. Results of Wilcoxon rank-sum test
函数
Fucntion
PF-DRBF vs. MPS PF-DRBF vs. TR-DRBF p R p R F1 6.77×10-8 + 3.10×10-1 - F2 6.80×10-8 + 6.61×10-5 + F3 6.80×10-8 + 1.23×10-3 + F4 6.80×10-8 + 3.42×10-7 + F5 7.89×10-8 + 3.85×10-2 + F6 6.75×10-8 + 2.94×10-2 + F7 1.43×10-7 + 1.05×10-6 + F8 9.19×10-4 + 6.46×10-8 + F9 2.04×10-5 + 1.80×10-6 + F10 2.36×10-6 + 4.60×10-4 + F11 6.80×10-8 + 7.90×10-8 + F12 4.52×10-7 + 1.23×10-7 +
Table 3. Optimum thickness of shielding layer and value of object function
View tableView in ArticleTable 3. Optimum thickness of shielding layer and value of object function
算法
Algorithm
屏蔽层厚度
Shield thickness / cm
屏蔽层重量
Weight of shielding
/ kg
归一化中子透射率
Normalized neutron
transmittance
水 H2O 铁 Fe 铅 Pb 聚乙烯 PE BP-SSM 15.00 12.00 1.00 15.00 3.514 2×105 8.22×10-8 MPS 14.19 10.79 2.35 12.40 3.511 8×105 1.71×10-7 TR-DRBF 14.27 1.00 8.44 10.83 3.102 2×105 1.01×10-6 PF-DRBF 15.00 12.00 1.00 15.00 3.514 2×105 8.22×10-8
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Shuai GAO, Xingyin GUAN, Yi LU, Yang YE, Yuan YUAN, Shuai HAO, Qihang HU, Yong ZHANG. Radiation shielding optimization based on dynamic radial basis surrogate model of particle flight[J]. NUCLEAR TECHNIQUES, 2025, 48(2): 020501
Paper Information
Category: NUCLEAR PHYSICS, INTERDISCIPLINARY RESEARCH
Received: Apr. 11, 2023
Accepted: --
Published Online: Mar. 14, 2025
The Author Email: GAO Shuai (gaoshuai2000@163.com)
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