High Power Laser and Particle Beams, Volume. 33, Issue 12, 123005(2021)
Thinned array optimization based on genetic model improved artificial bee colony algorithm
Figures & Tables(10)
Fig. 3. Neighborhood search method of artificial bee colony algorithm
Fig. 4. Global artificial bee colony algorithm neighborhood search method
Fig. 5. Optimization results of GMIABC algorithm at different sparsity rates
Fig. 6. Comparison of array sparsity optimization between GMIABC, GA and ABC algorithms when sparsity rate
Fig. 7. Comparison of array sparsity optimization between GMIABC algorithm and in Ref. [27] algorithm
Table 1. Benchmark numerical functions
View tableView in ArticleTable 1. Benchmark numerical functions
function expression range minimum value Sphere $ {f}_{1}\left(x\right)={\displaystyle\sum }_{i=1}^{D}{x}_{i}^{2} $ $ {\left[-\mathrm{100,100}\right]}^{D} $ 0 Elliptic $ {f}_{2}\left(x\right)={\displaystyle\sum }_{i=1}^{D}{{\left({10}^{6}\right)}^{\tfrac{i-1}{D-1}}}x_{i}^{2} $ $ {\left[-\mathrm{100,100}\right]}^{D} $ 0 SumSquare $ {f}_{3}\left(x\right)={\displaystyle\sum }_{i=1}^{D}{ix}_{i}^{2} $ $ {\left[-\mathrm{10,10}\right]}^{D} $ 0 Exponential ${f}_{4}\left(x\right)=\mathrm{e}\mathrm{x}\mathrm{p}\left(0.5 {\displaystyle\sum }_{i=1}^{D}{x}_{i}\right)$ $ {\left[-\mathrm{10,10}\right]}^{D} $ 0 Rosenbrock $ {f}_{5}\left(x\right)={\displaystyle\sum }_{i}^{D-1}\left[{100\left({x}_{i+1}-{x}_{i}^{2}\right)}^{2}-{\left({x}_{i}-1\right)}^{2}\right] $ $ {\left[-\mathrm{5,10}\right]}^{D} $ 0 Rastrigin $ {f}_{6}\left(x\right)={\displaystyle\sum }_{i}^{D}\left[{x}_{i}^{2}-10\mathrm{cos}\left(2\pi {x}_{i}\right)+10\right] $ $ {\left[-\mathrm{5.12,5.12}\right]}^{D} $ 0 Himmelblau $ {f}_{7}\left(x\right)=1/\mathrm{D}{\displaystyle\sum }_{i}^{D}\left[{x}_{i}^{4}-16{x}_{i}^{2}+5{x}_{i}\right] $ $ {\left[-\mathrm{5,5}\right]}^{D} $ −78.33236
Table 2. Comparison of GMIABC, ABC and GABC algorithms
View tableView in ArticleTable 2. Comparison of GMIABC, ABC and GABC algorithms
algorithm $ {f}_{1}\left(x\right) $ $ {f}_{2}\left(x\right) $ $ {f}_{3}\left(x\right) $ $ {f}_{4}\left(x\right) $ $ {f}_{5}\left(x\right) $ $ {f}_{6}\left(x\right) $ $ {f}_{7}\left(x\right) $ ABC mean 2.42e−15 4.52e−8 7.32e–15 7.18e−21 4.75e−01 1.34e−13 −78.332 std 3.20e−15 4.83e−8 8.18e−15 7.21e−21 5.81e−01 1.97e−13 0 GABC mean 5.12e−16 4.19e−16 5.25e–15 7.18e−23 9.71e−02 0 −78.332 std 4.35e−17 4.25e−16 6.18e−15 7.07e−23 1.01e−01 0 3.13e−15 GA mean 1.23e−13 4.47e−12 8.10e−11 0 4.1675e−05 0 −78.332 std 1.63e−13 5.77e−12 7.82e−11 0 5.0100e−05 0 1.0974e−14 GMIABC mean 3.73e−23 4.99e−21 3.57e−20 0 1.910158e−07 0 −78.33233 std 4.16e−23 1.21e−20 6.93e−20 0 2.110158e−07 0 0
Table 3. Comparison of sparsity optimization between GMIABC and GA, ABC and ABCSIM algorithms
View tableView in ArticleTable 3. Comparison of sparsity optimization between GMIABC and GA, ABC and ABCSIM algorithms
algorithm min/dB mean/dB std min/dB mean/dB std min/dB mean/dB std min/dB mean/dB std η=50%（Nt= 50） η=60%（Nt=60） η=70%（Nt=70） η=80%（Nt=80） GA −15.935 −15.677 0.189 −18.121 −17.521 0.353 −19.378 −19.110 0.187 −20.941 −20.752 0.178 ABC −15.330 −15.061 0.237 −16.806 −16.563 0.207 −18.386 −17.722 0.423 −19.836 −18.430 0.967 ABCSIM −17.211 −16.863 0.262 −17.426 −17.158 0.217 −18.202 −17.588 0.429 −18.172 −17.764 0.331 GMIABC min/dB −18.541 −18.281 0.227 −19.368 −19.200 0.135 −21.365 −20.892 0.171 −21.338 −21.573 0.175
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Jianbang Sun, Jianbing Li, Ding Wang, Yuqi Sun, [in Chinese]. Thinned array optimization based on genetic model improved artificial bee colony algorithm[J]. High Power Laser and Particle Beams, 2021, 33(12): 123005
Paper Information
Category: Basic Theory of Complex Electromagnetic Environment
Received: Jun. 11, 2021
Accepted: --
Published Online: Dec. 21, 2021
The Author Email: Li Jianbing (49286894@qq.com)
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