| Equations (2)-(6) from Table 1 |
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| \(f_{ijt} \leq u_{ijt_{d}} + \sum_{k \in K}^{}{{\sum_{s = 1}^{t}\gamma_{kijs}F}_{kij(t - s)}(u_{ijt_{e}} - u_{ijt_{d}})}\) |
\[\forall(i,j) \in A^{'},\ t = 1,\ldots,T\] |
(22) |
| \(\sum_{(i,j) \in A^{'}}^{}{\sum_{s = \text{max}\{ 1,t - p_{kij} + 1\}}^{t}\gamma_{kijs}} \leq 1\) |
\[\ \forall k \in K,\ t = 1,\ldots,T\] |
(23) |
| \(\sum_{t = {T - p}_{kij} + 1}^{T}\gamma_{kijt} = 0\) |
\[\forall(i,j) \in A^{'},\ \ \forall k \in K\] |
(24) |
| \(\complement_{(lh)(ij)}^{k} \geq c_{(lh)\ (ij)}\left( \gamma_{kijs} + \gamma_{klh(s + p_{kij})} - 1 \right)\) |
\(\forall(i,j),(l,h) \in A^{'},\forall k \in K\)
\[s = 1,\ldots,T - p_{kij}\] |
(25) |
| \(\complement_{(lh)(ij)}^{k} \leq c_{(lh)\ (ij)}\gamma_{kijs}\) |
\(\forall(i,j),(l,h) \in A^{'},\ \forall k \in K\)
\[s = 1,\ldots,T - p_{kij}\] |
(26) |
| \(\complement_{(lh)(ij)}^{k} \leq c_{(lh)\ (ij)}\gamma_{klhs}\) |
\(\forall(i,j),(l,h) \in A^{'},\ \forall k \in K\)
\[s = 1,\ldots,T - p_{klh}\] |
(27) |
| \(\complement_{.}^{k}\ = \sum_{(i,j) \in A^{'}}^{}{\sum_{d \in D}^{}{\vartheta_{d}^{k}c}_{d\ (ij)}\gamma_{kij1}}\) |
\[\ \forall k \in K\] |
(28) |
| \(\complement_{.}^{k} + \sum_{(i,j) \in A^{'}}^{}{\sum_{(l,h) \in A^{'}}^{}{\complement_{(lh)\ (ij)}^{k} + \sum_{t = 1}^{T}{p_{ij}^{k}\gamma_{kijt}}}} \leq T_{\max{\ \ }}\ \) |
\[\ \forall k \in K\] |
(29) |
| \(\gamma_{kijt} = \left\{ 0,1 \right\}\) |
\[(i,j) \in A,\ k \in K,t = 1,\ldots,T\] |
(30) |