A Comparative State-of-the-Art Constrained Metaheuristics Framework for TRUSS Optimisation on Shape and Sizing

Table 2

The statistical results of the best-found truss structures for 12 optimisation methods.

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\begin{table}[]

\centering

\caption{ The statistical results of the best-found truss structures for 12 optimisation methods.}

\label{table:best_found}

\scalebox{0.7}{

\begin{tabular}{lllllllllllll}

\hlineB{4}

& \multicolumn{10}{c}{260-bar truss} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} \\ \hlineB{3}

& DA & GNDO & EO & AOA & GWO & HGSO & MFO & MVO & SSA & MPA & NNA & WCA \\ \hlineB{4}

Min & 2.793E+05 & 1.318E+05 & 1.904E+06 & 1.204E+05 & 3.392E+06 & 1.141E+06 & 1.874E+06 & 7.753E+05 & 5.091E+05 & \textbf{4.452E+04} & 5.537E+04 & 3.086E+05

Max & 4.336E+06 & 8.669E+05 & 3.831E+06 & 1.801E+05 & 1.025E+07 & 4.181E+06 & 4.555E+06 & 2.843E+06 & 7.212E+05 & 7.031E+04 & 1.025E+05 & 9.297E+05

Mean & 1.756E+06 & 4.224E+05 & 2.994E+06 & 1.423E+05 & 6.347E+06 & 1.862E+06 & 2.844E+06 & 1.632E+06 & 6.182E+05 & 5.777E+04 & 7.305E+04 & 5.485E+05

Median & 1.352E+06 & 3.930E+05 & 3.298E+06 & 1.399E+05 & 5.855E+06 & 1.545E+06 & 2.464E+06 & 1.516E+06 & 6.146E+05 & 5.836E+04 & 6.973E+04 & 5.091E+05

STD & 1.482E+06 & 2.372E+05 & 7.436E+05 & 1.811E+04 & 2.029E+06 & 9.217E+05 & 1.002E+06 & 6.528E+05 & 6.302E+04 & 7.729E+03 & 1.306E+04 & 1.781E+05 \\ \hlineB{4}

& \multicolumn{10}{c}{314-bar truss} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} \\ \hlineB{3}

& DA & GNDO & EO & AOA & GWO & HGSO & MFO & MVO & SSA & MPA & NNA & WCA \\\hlineB{3}

Min & 3.934E+04 & 1.031E+05 & 4.578E+05 & 1.223E+05 & 1.152E+06 & 2.315E+05 & 3.269E+05 & 4.089E+05 & 2.107E+05 & \textbf{3.888E+04} & 8.769E+04 & 1.254E+05

Max & 4.598E+04 & 2.723E+05 & 1.076E+06 & 1.408E+05 & 1.738E+06 & 3.864E+05 & 1.184E+06 & 9.286E+05 & 2.885E+05 & 4.430E+04 & 1.145E+05 & 2.515E+05

Mean & 4.217E+04 & 1.795E+05 & 8.122E+05 & 1.283E+05 & 1.507E+06 & 2.882E+05 & 8.925E+05 & 5.463E+05 & 2.536E+05 & 4.145E+04 & 1.006E+05 & 1.975E+05

Median & 4.192E+04 & 1.653E+05 & 7.848E+05 & 1.279E+05 & 1.567E+06 & 2.875E+05 & 9.080E+05 & 5.161E+05 & 2.590E+05 & 4.121E+04 & 9.906E+04 & 2.048E+05

STD & 1.647E+03 & 5.375E+04 & 2.141E+05 & 5.298E+03 & 2.303E+05 & 4.896E+04 & 2.389E+05 & 1.602E+05 & 2.784E+04 & 1.697E+03 & 8.896E+03 & 4.533E+04 \\ \hlineB{4}

\end{tabular}

}

\end{table}

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