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The solutions gained from each of the proposed methods have been verified with those obtained by the tanh method.
With respect to the solutions gained, Table 1 demonstrates that the algorithms have the rank of 1 for HGA, 2 for PH, 3 for H3, and 4 for PEM.
Compared with solutions gained by graphical integration method, the presented method is proved to be more efficient by two examples where specific utility consumption is reduced by 23.4% and 17.6%, respectively.
In addition, two well-known decision making techniques comprising LINAMP and TOPSIS are applied to identify the ultimate optimal performance of the system among the solutions gained from the non-dominated sorting genetic algorithm (NSGA-II) approach.
Figure 5 exhibits the errors between the SMFEROE solutions acquired from the SMFEROE model adopting the different amount of the POD basis and the SMFE solutions gained from the SMFE model when (t=40), i.e., (n=4mbox000), (mathit{Pr}=7), and (mathit{Re}=1mbox000).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com