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G_t = \sum_{p=1}^{N^{\uparrow}_P} C^{\uparrow}_{OGW}(t)  \cdot q^{\uparrow}_{L, p}(t)
- \sum_{i=1}^{N^{\downarrow}_W} C^{\downarrow}_{W,i} \cdot q^{\downarrow}_{W, i}(t) 
- \sum_{j=1}^{N^{\downarrow}_G} C^{\downarrow}_{G,j} \cdot q^{\downarrow}_{G, j}(t)
- C_{WS} \cdot q_{WS}(t)
- C_{GS} \cdot q_{GS}(t)

C^{\uparrow}_{OGW}(t) = \left[  (R_O(t) -  C^{\uparrow}_{O,p}) + (R_G(t) - C^{\uparrow}_{G,p}) \cdot  Y_{g,p}(t) \right]  \cdot (1- Y_{w,p}(t)) 
- C^{\uparrow}_{L,p} - C^{\uparrow}_{W,p} \cdot Y_{w,p}(t) 

q^{\uparrow}_{LMIN, p}(t)0 \leq q^{\uparrow}_{L, p}(t) \leq  q^{\uparrow}_{LMAX, p}(t)

q^{\downarrow}_{WMIN, i}(t)0 \leq q^{\downarrow}_{W, i}(t) \leq  q^{\downarrow}_{WMAX, i}(t)

q^{\downarrow}_{GMIN, j}(t)0 \leq q^{\downarrow}_{G, j}(t) \leq q^{\downarrow}_{GMAX, j}(t)

\sum_{p=1}^{N^{\uparrow}_P} q^{\uparrow}_{L, p}(t) \leq q^{\uparrow}_{LMAX}

q^{\downarrow}_{WMIN}(t) \leq 
\sum_{i=1}^{N^{\downarrow}_W} q^{\downarrow}_{W, i}(t) 
\leq q^{\downarrow}_{WMAX}

\sum_{j=1}^{N^{\downarrow}_G} q^{\downarrow}_{G, j}(t)
\leq q^{\downarrow}_{GMAX}