•  Gurobi Staff

Hi Irene,

It looks like to me like the first and second constraints are mixed up in the capacity constraint you coded. In particular, $$\texttt{supply_avail[i, j]}$$ corresponds to $$a_{ij}$$ in the formulation, which shows up in the second constraint set. However, you sum over $$I$$ on the left-hand side, which is done only in the first constraint set. I'll assume we are trying to write the second constraint set.

Model.addConstr() is used to add a single constraint. Instead, we can use Model.addConstrs() to add multiple constraints with a single method call. Additionally, for the second constraint, we want to sum over $$L$$ on the left-hand side, not $$I$$. Altogether:

m.addConstrs((x.sum(i, j, '*') <= supply_avail[i, j] for i in supply_node for j in resource), name='capacity')

This code adds the following constraints:

capacity[Node1,A]: allocate[Node1,A,Sink1] + allocate[Node1,A,Sink2] <= 2                                                 capacity[Node1,B]: allocate[Node1,B,Sink1] + allocate[Node1,B,Sink2] <= 1                                                 capacity[Node1,C]: allocate[Node1,C,Sink1] + allocate[Node1,C,Sink2] <= 1                                                 capacity[Node2,A]: allocate[Node2,A,Sink1] + allocate[Node2,A,Sink2] <= 1                                                 capacity[Node2,B]: allocate[Node2,B,Sink1] + allocate[Node2,B,Sink2] <= 1                                                 capacity[Node2,C]: allocate[Node2,C,Sink1] + allocate[Node2,C,Sink2] <= 1                                                 capacity[Node3,A]: allocate[Node3,A,Sink1] + allocate[Node3,A,Sink2] <= 1                                                 capacity[Node3,B]: allocate[Node3,B,Sink1] + allocate[Node3,B,Sink2] <= 0                                                 capacity[Node3,C]: allocate[Node3,C,Sink1] + allocate[Node3,C,Sink2] <= 1

As far as a better way to define the data: explicitly defining the data in the code should be very fast. The model-building time should be negligible for a model of this size.

Thanks,

Eli

•    Hi Eli,