Table 4: The best solutions obtained using the AIA-PSO algorithm from TPs 1–13.

TP number 𝑓 ( x A I A - P S O ) x A I A - P S O

1 24.358 x A I A - P S O = ( 2.18024296, 2.35746157, 8.75670935, 5.11326109, 1.03976363 1.54784227, 1.32994030, 9.83127443, 8.27618717, 8.32717779)
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 0 . 0 0 0 0 7 1 0 , 0 . 0 0 3 6 9 9 0 , 0 . 0 0 0 4 4 0 0 , 0 . 6 8 4 0 2 5 0 , 0 . 0 0 0 0 8 6 0 , 0 . 0 0 1 0 2 4 0 , 5 . 9 7 3 8 6 6 0 , 4 7 . 3 7 1 9 5 8 0 )

2 −30665.539 𝐱 A I A - P S O = ( 78, 33, 29.99525527, 45, 36.77581286)
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 9 2 . 0 0 0 0 0 0 0 , 5 . 5 7 𝐸 0 8 0 , 8 . 8 4 0 5 0 0 0 , 1 1 . 1 5 9 5 0 0 0 , 2 . 7 6 𝐸 0 7 0 , 5 . 0 0 0 0 0 0 0 )

3 680.633 𝐱 A I A - P S O = ( 2.32925164, 1.95481519, −0.47307614, 4.35691576, −0.62313420, 1.05236194, 1.59750978)
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 4 . 2 6 𝐸 0 6 0 , 2 5 2 . 6 1 2 7 3 3 0 , 1 4 4 . 7 4 1 1 9 4 0 , 1 . 0 0 𝐸 0 5 0 )

4 −15 𝐱 A I A - P S O = ( 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1)
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 0 0 , 0 0 , 0 0 , 5 0 , 5 0 , 5 0 , 0 0 , 0 0 , 0 0 )

5 1227.1598 𝐱 A I A - P S O = ( 1 6 9 7 . 9 1 6 4 5 0 4 4 , 5 3 . 7 8 1 3 2 8 2 5 , 3 0 3 1 . 0 7 9 8 9 0 5 9 , 9 0 . 1 2 6 5 1 3 0 1 ,
9 4 . 9 9 9 9 9 9 9 5 , 1 0 . 4 8 1 0 3 7 0 8 , 1 5 3 . 5 3 5 9 4 8 6 1 )
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 1 . 0 0 0 0 0 0 1 , 0 . 9 8 0 1 0 0 1 , 1 . 0 0 0 0 0 2 1 , 0 . 9 8 0 0 9 9 1 , 0 . 9 9 0 5 6 2 1 , 1 . 0 0 0 0 0 1 1 , 1 . 0 0 0 0 0 2 1 , 0 . 9 7 6 7 1 5 1 , 1 . 0 0 0 0 0 1 1 , 0 . 4 5 9 4 2 5 1 , 0 . 3 8 7 5 1 5 1 , 0 . 9 8 1 8 5 6 1 , 0 . 9 8 7 2 4 5 1 , 8 . 3 0 2 5 3 3 1 )

6 3.9516 𝐱 A I A - P S O = ( 6 . 4 4 3 7 3 6 4 7 , 2 . 2 3 3 3 5 1 1 1 , 0 . 6 8 2 3 3 3 0 3 , 0 . 6 0 0 2 6 6 1 7 ,
5 . 9 3 7 4 5 1 1 9 , 5 . 5 3 1 4 6 1 8 6 , 1 . 0 1 8 6 2 9 5 8 , 0 . 4 0 6 7 3 6 6 1 )
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 0 . 9 9 9 9 9 9 1 , 0 . 9 9 9 9 9 9 1 , 0 . 9 9 9 9 9 4 1 , 0 . 9 9 9 9 8 5 1 )

7 −5.7398 𝐱 A I A - P S O = ( 8 . 1 3 0 4 2 9 8 5 , 0 . 6 1 7 5 8 1 3 6 , 0 . 5 6 3 9 3 6 0 3 , 5 . 6 3 6 1 8 1 9 1 )
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 0 . 9 9 9 9 9 9 1 , 0 . 9 9 9 9 9 8 1 )

8 −83.2497 𝐱 A I A - P S O = ( 88.35635930, 7.67202113, 1.31765768)
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 3 . 0 0 𝐸 1 8 1 )

9 −6.0467 𝐱 A I A - P S O = ( 6 . 4 6 3 9 3 1 7 3 , 0.67575021, 1.01188804, 5.94072071, 2.24639462, 0.60683404, 0.39677469, 5.52596342)
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 0 . 9 9 9 9 8 0 1 , 0 . 9 9 9 9 9 9 1 , 0 . 9 9 8 7 3 9 1 , 0 . 9 9 9 9 2 8 1 )

10 6299.8395 𝐱 A I A - P S O = ( 108.97708780, 85.02248757, 204.45439729)
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 1 . 0 0 0 0 0 3 1 )

11 10122.4852 𝐱 A I A - P S O = ( 78, 33, 29.99571251, 45, 36.77534593)
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 0 . 3 0 9 9 9 1 1 , 1 . 0 0 0 0 0 1 1 , 0 . 0 2 1 3 8 0 1 , 0 . 6 2 1 4 0 3 1 , 1 . 0 0 0 0 0 1 1 , 0 . 6 8 1 5 1 7 1 )

12 0.012667 𝐱 A I A - P S O = ( 0.05164232, 0.35558085, 11.35742676)
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 8 . 8 3 𝐸 0 5 0 , 3 . 0 4 𝐸 0 5 0 , 4 . 0 5 0 9 2 4 0 , 0 . 7 2 8 5 1 8 0 )

13 5885.3310 𝐱 A I A - P S O = ( 0.77816843, 0.38464909, 40.31961929, 199.99999330)
𝑔 𝑚 ( 𝐱 A I A - P S O ) = ( 2 . 2 2 𝐸 0 7 0 , 7 . 8 0 𝐸 0 8 0 , 0 . 0 0 6 0 1 5 0 , 4 0 . 0 0 0 0 0 7 0 )