Research Article

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

Table 3

Shows the average sum-rank Friedman test for the 314-bar and 260-bar problems using twelve optimisation methods. It can be observed that the MPA achieved the first rank in both case studies on average, and in the following the NNA, AOA and GNDO placed the second, third, and fourth rank of the truss optimisation.

\begin{table}[]
\centering
\caption{ The average performance rank of 12 optimisation methods based on the best-found designs. significant level of the Friedman test is 0.05.}
\label{table:rank}
\scalebox{0.8}{
\begin{tabular}{l|l|l|l|l|l|l|l|l|l|l|l|l}
\hlineB{4}
& {DA} & {GNDO} & {EO} & {AOA} & {GWO} & {HGSO} & {MFO} & {MVO} & {SSA} & {MPA}&{NNA} & {WCA}\\ \hlineB{3}
314-bar & 2&5&10&4&12&8&11&9&7&1&3&6 \\ \hline
260-bar & 8&4&11&3&12&9&10&7&6&1&2&5 \\ \hline
Mean rank & 5&4.5&10.5&3.5&12&8.5&10.5&8&6.5&1&2.5&5.5 \\\hlineB{4}
\end{tabular}
}
\end{table}