MP 1 Two-stage stochastic mathematical programming formulation with fixed resources.

$$\begin{array}{ccc}\hfill minZ& =& {\mathit{c}}^{\top }\mathit{y}+{\mathbb{E}}_{\mathbf{\xi }}[min\mathit{q}{\left(\omega \right)}^{\top }\mathit{x}]\hfill \\ \hfill \mathrm{subject}\mathrm{to}\mathit{A}\mathit{y}& =& \mathit{b},\hfill \\ \hfill \mathit{T}\left(\omega \right)\mathit{y}+\mathit{W}\mathit{x}& =& \mathit{h}\left(\omega \right),\hfill \\ \hfill \mathit{y}& \ge & \mathbf{0},\hfill \\ \hfill \mathit{x}& \ge & \mathbf{0}.\hfill \end{array}$$