\leq m \space \mathrm{(eqn \space 1b)} \\
  G_f (1 - E_f) \geq T_f \space \forall \space f \in F \space
  \mathrm{(eqn \space 1c)} \\
  E_f = 1 - \sum_{j = 0}^{J} Z_{fj} Q_{fj} \space \forall \space f \in F
  \space \mathrm{(eqn \space 1d)} \\
  Z_{fj} \leq Y_{j} \space \forall \space j \in J \space \mathrm{(eqn \space
  1e)} \\
  \sum_{j = 0}^{J} Z_{fj} \times \mathrm{ceil}(Q_{fj}) = 1 \space \forall
  \space f \in F \space \mathrm{(eqn \space 1f)} \\
  A_{ij} Y_{j} \leq X_{i} \space \forall \space i \in I