Table 7: Comparison of the results of the proposed RGA-PSO and AIA-PSO algorithms and those of the published individual GA and AIA approaches for TPs 1–4.

TP numberGlobal optimumMethodsBestMeanMedianWorstMAPE%

GA-1 [20]24.69029.25836.060
GA-2 [21]24.37224.40925.075
GA-3 [9]24.93527.31427.19433.16012.377
124.306AIA-1 [22]24.50625.41726.422
AIA-2 [10]24.37724.66924.66324.9881.495
The proposed RGA-PSO24.32324.56824.52124.8311.078
The proposed AIA-PSO24.35824.57924.56424.8091.125

GA-1 [20]
GA-2 [21]
GA-3 [9]−30665.526−30662.922−30664.709−30632.445 8 . 5 3 𝐸 0 3
2−30665.539AIA-1 [22]−30665.539−30665.539−30665.539
AIA-2 [10] −30665.539−30665.526−30665.527−30665.506 4 . 2 0 𝐸 0 5
The proposed RGA-PSO−30665.539−30665.539−30665.539−30665.534 1 . 3 4 𝐸 0 6
The proposed AIA-PSO−30665.539−30665.539−30665.539−30665.539 9 . 9 5 𝐸 0 7

GA-1 [20]680.642680.718680.955
GA-2 [21]680.634680.642680.651
GA-3 [9]680.641680.815680.768681.395 2 . 7 2 𝐸 0 2
3680.630AIA-1 [22]680.631680.652680.697
AIA-2 [10] 680.634680.653680.650680.681 3 . 4 5 𝐸 0 3
The proposed RGA-PSO680.632680.640680.639680.658 1 . 4 6 𝐸 0 3
The proposed AIA-PSO680.633680.640680.640680.657 1 . 5 0 𝐸 0 3

GA-1 [20]−15−15−15−15
GA-2 [21]
GA-3 [9]−13.885−12.331−12.267−10.46717.795
4−15AIA-1 [22]−14.987−14.726−12.917
AIA-2 [10] −14.998−14.992−14.992−14.988 5 . 0 8 𝐸 0 2
The proposed RGA-PSO−15−15−15−15 1 . 2 7 𝐸 0 6
The proposed AIA-PSO−15−15−15−15 1 . 2 0 𝐸 1 0

(The “—” denotes unavailable information.)