在Gurobi中使用addVars创建具有三个索引的变量

addVars(indices1, indices2, indices3, lb, ub, obj, vtype, name)

import gurobipy as gp

model = gp.Model()

indices1 = range(2) # 第一个索引的取值范围为[0, 1]
indices2 = range(3) # 第二个索引的取值范围为[0, 1, 2]
indices3 = range(4) # 第三个索引的取值范围为[0, 1, 2, 3]

vars = model.addVars(indices1, indices2, indices3, lb=0, ub=1, obj=0, vtype=gp.GRB.CONTINUOUS, name="x")

model.update()

# 打印变量集合
for var in vars.values():
    print(var)

<gurobi.Var x[0,0,0] (value 0.0000000000000000)>
<gurobi.Var x[0,0,1] (value 0.0000000000000000)>
<gurobi.Var x[0,0,2] (value 0.0000000000000000)>
<gurobi.Var x[0,0,3] (value 0.0000000000000000)>
<gurobi.Var x[0,1,0] (value 0.0000000000000000)>
<gurobi.Var x[0,1,1] (value 0.0000000000000000)>
<gurobi.Var x[0,1,2] (value 0.0000000000000000)>
<gurobi.Var x[0,1,3] (value 0.0000000000000000)>
<gurobi.Var x[0,2,0] (value 0.0000000000000000)>
<gurobi.Var x[0,2,1] (value 0.0000000000000000)>
<gurobi.Var x[0,2,2] (value 0.0000000000000000)>
<gurobi.Var x[0,2,3] (value 0.0000000000000000)>
<gurobi.Var x[1,0,0] (value 0.0000000000000000)>
<gurobi.Var x[1,0,1] (value 0.0000000000000000)>
<gurobi.Var x[1,0,2] (value 0.0000000000000000)>
<gurobi.Var x[1,0,3] (value 0.0000000000000000)>
<gurobi.Var x[1,1,0] (value 0.0000000000000000)>
<gurobi.Var x[1,1,1] (value 0.0000000000000000)>
<gurobi.Var x[1,1,2] (value 0.0000000000000000)>
<gurobi.Var x[1,1,3] (value 0.0000000000000000)>
<gurobi.Var x[1,2,0] (value 0.0000000000000000)>
<gurobi.Var x[1,2,1] (value 0.0000000000000000)>
<gurobi.Var x[1,2,2] (value 0.0000000000000000)>
<gurobi.Var x[1,2,3] (value 0.0000000000000000)>