...
The general form of objective function for production targets optimisation is given by:
| LaTeX Math Block |
|---|
| G = \sum_{y=1}^{N_y} \frac{AG_y}{(1+r)^y} \rightarrow \rm max
|
|
| LaTeX Math Block |
|---|
| AG_y = \sum_t G_t
| | LaTeX Math Block |
|---|
| G_t = = \sum_t G_t^{+} - G_t^{-}
|
|
| LaTeX Math Block |
|---|
| anchor | GtPlus |
|---|
| alignment | left |
|---|
| G_t^{+} = \sum_{k=1}^{N^{\uparrow}_P} \left[ R_O(t) \cdot q^{\uparrow}_{O, k}(t) + R_G(t) \cdot q^{\uparrow}_{G, k}(t) \right]
|
|
| LaTeX Math Block |
|---|
| anchor | GtMinus |
|---|
| alignment | left |
|---|
| G_t^{-} =
\sum_{k=1}^{N^{\uparrow}_P} C^{\uparrow}_{L,k} \cdot q^{\uparrow}_{L, k}(t)
+\sum_{k=1}^{N^{\uparrow}_P} C^{\uparrow}_{O,k} \cdot q^{\uparrow}_{O, k} (t)
+\sum_{k=1}^{N^{\uparrow}_P} C^{\uparrow}_{G,k} \cdot q^{\uparrow}_{G, k} (t)
+\sum_{k=1}^{N^{\uparrow}_P} C^{\uparrow}_{W,k} \cdot q^{\uparrow}_{W, k}(t)
+\sum_{i=1}^{N^{\downarrow}_W} C^{\downarrow}_{W,j} \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)
|
|
| LaTeX Math Block |
|---|
| q_{WS}(t) = \sum_{i=1}^{N^{\downarrow}_W} q^{\downarrow}_{W, i}(t) - \sum_{k=1}^{N^{\uparrow}_P} q^{\uparrow}_{W, k}(t)
|
|
| LaTeX Math Block |
|---|
| C_{WS}(t)= \begin{cases}
C^{\uparrow}_{WS}(t), & \mbox{if } q_{WS}(t)>0
\\
C^{\downarrow}_{WS}(t), & \mbox{if } q_{WS}(t)<0
\end{cases}
|
|
| LaTeX Math Block |
|---|
| q_{GS}(t) = \sum_{j=1}^{N^{\downarrow}_G} q^{\downarrow}_{G, j}(t) - \sum_{k=1}^{N^{\uparrow}_P} q^{\uparrow}_{G, k}(t)
|
|
| LaTeX Math Block |
|---|
| C_{GS}(t)= \begin{cases}
C^{\uparrow}_{GS}(t), & \mbox{if } q_{GS}(t) > 0
\\
C^{\downarrow}_{GS}(t), & \mbox{if } q_{GS}(t) > 0
\end{cases}
|
|
...
