\begin{align}\label{max-failure-objective-alpha}
F_\text{max}~ = \text{max}_\alpha~&\sum_{v:g_v>\tau}\alpha_v\\
\text{s.t.}~~&D(p_\alpha,q_y)\leq B^y,~~\alpha\geq0,~~\sum_v\alpha_v=1. \nonumber
\end{align}
