The TVSA process has 15 parameters requiring 1,048,576 simulations for the sensitivity analysis to calculate the total, first, and second-order Sobol indices with error bars. The error bars are calculated using a bootstrapping method. The S-TVSA process has 16 parameters, so we needed 2,228,224 simulations to do the same. Using the ANNs, this sampling took just a few seconds for all performance indicators. For comparison, the S-TVSA simulations would have taken around 42 years using the detailed model on a normal desktop computer, showcasing the sheer necessity of using surrogate models for this task.