# Trivial Example with two points

Potential Pareto Optimality for three hyperintervals on different $\sigma$-levels.

Although for small values of $\alpha_1$ and $\alpha_2$ the virtual lower bound for $F_2$ is dominated by the virtual lower bound for $F_1$, for large values $F_2$ is non dominated, therefore both $F_1$ and $F_2$ are potentially Pareto optimal.

## Figure 5(c) of "On the Extension of the DIRECT Algorithm to Multiple Objectives" by A. Lovison and K. Miettinen

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