Table 1.

Examples of possible design criteria.

design criteria
$\underset{\mathbf{\text{x}}}{max}\mathbb{E}[f(\mathbf{\text{Y}}(\mathbf{\text{x}};\xi ))]$ and $\underset{\mathbf{\text{x}}}{min}\hspace{0.17em}\text{Var}[f(\mathbf{\text{Y}}(\mathbf{\text{x}};\xi ))]$[13]
$\underset{\mathbf{\text{x}}}{min}\parallel p(\mathbf{\text{Y}};\mathbf{\text{x}})-q(\mathbf{\text{Y}})\parallel$, where q(Y) is the PDF of a target performance[14]
$\underset{\mathbf{\text{x}}}{min}\mathcal{R}[f(\mathbf{\text{Y}}(\mathbf{\text{x}};\xi ))]$, where $\mathcal{R}$ is a risk measure[15]