The objective function minimizes the total cost.
∑ ∑ c i j x i j
i ∈ I , j ∈ J
Constraint (1)
∑ x i j = 1 , ∀ j ∈ J
i ∈ I
Constraint (2)
x i j ≤ γ i , ∀ i ∈ I , ∀ j ∈ J
Constraint (3)
∑ γ i = p
Constraint (4)
x ∈ B | I | | J | , y ∈ B | I |