∑ j ∈ V ∑ k ∈ K x i j k = 1 ∀ i ∈ V \ { 0 } , ∑ j ∈ V x i j k − ∑ j ∈ V x j i k = 0 ∀ i ∈ V , k ∈ K , 0 ≤ f i j ≤ Q ∑ k ∈ K x i j k ∀ i , j ∈ V , ∑ j ∈ V f j i − ∑ j ∈ V f i j = q i ∀ i ∈ V \ { 0 } , ∑ S ∈ V ∑ S ∈ V x i j k ≤ ∣ S ∣ − 1 ∀ S ∈ V \ { 0 } , S ≠ ∅ , k ∈ K , x i j k ∈ { 0 , 1 } ∀ i , j ∈ V , k ∈ K . \sum_{j\in V}\sum_{k\in K} x_{ijk}=1 \quad \forall i \in V \backslash \{0\},\\ \sum_{j\in V}x_{ijk} - \sum_{j\in V}x_{jik} =0 \quad \forall i \in V,k\in K,\\ 0 \le f_{ij} \le Q \sum_{k\in K} x_{ijk} \quad \forall i,j \in V,\\ \sum_{j\in V}f_{ji} - \sum_{j\in V}f_{ij} =q_i \quad \forall i \in V\backslash \{0\},\\ \sum_{S\in V}\sum_{S\in V} x_{ijk} \le |S|-1 \quad \forall S \in V\backslash \{0\}, S \ne \varnothing, k\in K,\\ x_{ijk} \in \{0,1\} \quad \forall i,j \in V,k\in K. j∈V∑​k∈K∑​xijk​=1∀i∈V\{0},j∈V∑​xijk​−j∈V∑​xjik​=0∀i∈V,k∈K,0≤fij​≤Qk∈K∑​xijk​∀i,j∈V,j∈V∑​fji​−j∈V∑​fij​=qi​∀i∈V\{0},S∈V∑​S∈V∑​xijk​≤∣S∣−1∀S∈V\{0},S​=∅,k∈K,xijk​∈{0,1}∀i,j∈V,k∈K.