引入相量算子和流向算子的天鹰优化算法

周玉,裴泽宣,王培崇,陈博

Aquila optimizer based on phasor operator and flow direction operator

Yu ZHOU,Zexuan PEI,Peichong WANG,Bo CHEN

表 6 测试函数的结果 (dim=100，${{\boldsymbol{f}}_{\boldsymbol{1}}} {\boldsymbol{\sim}} {{\boldsymbol{f}}_{{\boldsymbol{10}}}}$)

Tab.6 Results of test function (dim=100，${f_1} - {f_{10}}$)

函数 算法 最优值 平均值 标准差 函数 算法 最优值 平均值 标准差 $ {f_1} $ SOA 86.5542 94.1352 20.9621 $ {f_6} $ SOA 0.0341 1.1236 2.6557 PSO 0.6220 0.6254 0.0239 PSO 157.3364 163.6361 25.3142 SSA 3.3646×10−55 3.3345×10−31 7.223 4×10−30 SSA 0 0 0 GNDO 23.1552 33.3120 16.3251 GNDO 362.36 384.21 32.6520 PPSO 0.7486 0.8998 0.3654 PPSO 258.24 274.65 61.0320 FDA 89.7243 93.1086 9.2320 FDA 0 0 0 AO 9.466 2×10−78 8.253×10−75 8.223 6×10−76 AO 0 0 0 MIAO 3.371 6×10−158 6.223 7×10−129 2.678 4×10−129 MIAO 0 0 0 $ {f_2} $ SOA 0.1378 1.2355 2.6341 $ {f_7} $ SOA 1.223 4×10−4 4.337 8×10−3 3.707 1×10−3 PSO 0.2201 0.4436 0.6520 PSO 1.8752 2.0314 0.6321 SSA 7.3240×10−3 0.0021 2.3114×10−3 SSA 8.881 8×10−16 8.881 8×10−16 0 GNDO 5.6488 8.0641 5.6630 GNDO 11.7217 13.4094 5.3241 PPSO 1.7592 2.0900 0.4354 PPSO 2.3323 2.1354 0.3542 FDA 4.487 9×10−4 5.832 5×10−4 2.665 2×10−4 FDA 4.440 9×10−15 4.440 9×10−15 0 AO 9.782 8×10−5 3.521 1×10−4 4.695 7×10−4 AO 8.881 8×10−16 8.881 8×10−16 0 MIAO 1.704 1×10−5 4.122 0×10−4 5.314 2×10−4 MIAO 8.881 8×10−16 8.881 8×10−16 0 $ {f_3} $ SOA 0.0021 0.9328 1.5631 $ {f_8} $ SOA 0.0143 56.4429 83.9514 PSO 1.913 5×10−9 3.556 4×10−7 2.635 7×10−7 PSO 0.0527 0.0600 1.3255e-3 SSA 0 0 0 SSA 0 0 0 GNDO 5.551 1×10−17 5.551 1×10−17 2.392 8×10−19 GNDO 61.1138 74.3512 22.2511 PPSO 0 0 0 PPSO 0.1039 0.1173 0.0062 FDA 0 0 0 FDA 0 0 0 AO 0 0 0 AO 0 0 0 MIAO 0 0 0 MIAO 0 0 0 $ {f_4} $ SOA 0.0151 4.1531 8.3361 $ {f_9} $ SOA −1 −0.9889 0.1264 PSO 66.3548 85.3642 51.3260 PSO −1 −1 0 SSA 7.572 5×10−80 3.214 6×10−65 4.012 6×10−65 SSA −1 −1 0 GNDO 1141.2 1148.7 43.2651 GNDO −1 −0.9632 0.0023 PPSO 180.23 210.24 7.3521 PPSO −1 −1 0 FDA 3.624 7×10−79 5.624 4×10−75 9.214 4×10−75 FDA −1 −1 0 AO 2.246 3×10−157 3.514 4×10−133 6.331 4×10−133 AO −1 −1 0 MIAO 0 0 0 MIAO −1 −1 0 $ {f_5} $ SOA 2.460 5×10−6 0.0553 0.3662 $ {f_{10}} $ SOA −957.9990 −950.6374 10.5231 PSO 1.887 8×10−8 1.223 6×10−7 3.263 1×10−8 PSO −66.8437 −66.8437 0 SSA 5.341 9×10−113 1.324 9×10−50 2.312 6×10−50 SSA −894.3315 −888.1634 43.6612 GNDO 1.135 3×10−7 4.714 2×10−10 3.256 4×10−10 GNDO −959.6406 −959.6406 4.125 0×10−4 PPSO 6.154 3×10−9 6.734 3×10−7 2.663 4×10−9 PPSO −66.0970 −65.4211 1.3325 FDA 3.257 8×10−116 2.647 6×10−113 3.654 2×10−113 FDA −959.4607 −959.4605 4.332 1×10−3 AO 1.481 3×10−95 2.794 9×10−29 3.654 2×10−29 AO −959.6407 −-959.6404 3.412 2×10−3 MIAO 4.185×10−178 4.893 1×10−152 1.233 0×10−152 MIAO −959.6407 −959.6406 1.256 1×10−3