## 3 Results
### Evaluation of Restricted Optimization Times
The results involving two vessels (Table 8) show that the standard deviation for the project duration remains under two days for the construction of all 50 turbines in the worst-case scenario \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & \multicolumn{2}{c}{**April**} & \multicolumn{2}{c}{**June**} & \multicolumn{2}{c}{**August**} \\  & **Duration [h]** & **O/T [h]** & **Duration [h]** & **O/T [h]** & **Duration [h]** & **O/T [h]** \\ \hline
2 & 1776 & 22.36 & 1807 & 21.90 & 1814 & 21.44 \\
5 & 1786 & 22.10 & 1774 & 21.90 & 1772 & 21.30 \\
15 & 1786 & 22.10 & 1774 & 21.90 & 1772 & 21.30 \\
30 & 1786 & 22.10 & 1774 & 21.90 & 1772 & 21.30 \\
60 & 1786 & 22.10 & 1774 & 21.90 & 1772 & 21.30 \\ \hline Mean & 1784.00 & 22.15 & 1780.60 & 21.90 & 1780.40 & 21.33 \\ Std.Dev & 4.00 & 0.10 & 13.20 & 0.00 & 16.80 & 0.06 \\ Mean (5+) & 1786.00 & 22.10 & 1774.00 & 21.90 & 1772.00 & 21.30 \\ Std.Dev (5+) & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Results of different optimization times for a single vessel. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & \multicolumn{2}{c}{**April**} & \multicolumn{2}{c}{**June**} & \multicolumn{2}{c}{**August**} \\  & **Duration [h]** & **O/T [h]** & **Duration [h]** & **O/T [h]** & **Duration [h]** & **O/T [h]** \\ \hline
2 & 993 & 21.54 & 1097 & 22.12 & 1003 & 21.64 \\
5 & 902 & 21.48 & 963 & 21.84 & 932 & 21.30 \\
15 & 972 & 21.26 & 963 & 21.64 & 912 & 21.24 \\
30 & 907 & 21.24 & 963 & 21.64 & 907 & 21.12 \\
60 & 888 & 21.70 & 963 & 22.04 & 885 & 21.26 \\ \hline Mean & 932.40 & 21.44 & 989.80 & 21.86 & 927.80 & 21.31 \\ Std.Dev & 41.91 & 0.17 & 53.60 & 0.20 & 40.46 & 0.17 \\ Mean (5+) & 917.25 & 21.42 & 963.00 & 21.79 & 909.00 & 21.23 \\ Std.Dev (5+) & 37.38 & 0.22 & 0.00 & 0.19 & 19.30 & 0.08 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Results of different optimization times for two vessels. (42 h, including the 2 min scenario, 37 h excluding it). The standard deviation for the average time a vessel spends offshore per turbine is less than 15 min across all scenarios. Therefore, the mean offshore time lies between 21.2 and 21.8 h for the scenarios with five or more minutes of optimization time. The latter again shows very efficient use of the available vessels, only involving minor offshore waiting times. As stated before, generally, longer optimization times tend to reduce project durations and offshore times. Therefore, the optimizer trades off a lower project duration with higher offshore times and, thus, higher costs per turbine. The results involving three vessels (Table 9) show a similar structure as the simulation runs for two vessels. Longer runtimes result in slightly more favorable combinations of project duration and offshore time per turbine. Therefore, the standard deviation for the project duration ranges between 8.5 h and 15.52 h across all scenarios for the three months, excluding the two-minute scenarios. The standard deviation regarding offshore times ranges from 0.36 h (approximately 22 min) to 0.53 h (approximately 32 min) with mean values between 21.58 h and 22.17 h. These values again show only a slight improvement in the overall plans with longer optimization times. Nevertheless, compared to the scenarios involving two vessels, these results show a slightly worse performance, indicating that the optimizer would require more time to achieve equally good results. In consequence, results show that longer optimization times lead to generally better results. Nevertheless, the results show that the optimizer can already obtain good plans with short optimization times of only five minutes. It must be noted that these results highly depend on the used hardware. Slower computers will eventually require more time to achieve comparable results, while faster computers might attain better plans. These results show high adaptability to the current need in terms of a decision-support system.