How do you utilize addVars in Gurobi when using tuples as indexes?

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If you have defined your variable with tuples as indexes, you can use the addVars method in Gurobi to create an array of variables. The syntax for addVars is as follows:

```
model.addVars(indices, lb=0.0, ub=GRB.INFINITY, obj=0.0, vtype=GRB.CONTINUOUS, name="")
```

where `indices`

is the tuple of indexes, `lb`

is the lower bound for the variables, `ub`

is the upper bound, `obj`

is the objective coefficient for the variables, `vtype`

is the variable type (continuous, binary, or integer), and `name`

is the name of the variables.

For example, if you have a tuple variable `x[i,j]`

where `i`

and `j`

are the indexes, you can create an array of variables using the following code:

```
x = model.addVars((I, J), lb=0, ub=GRB.INFINITY, name="x", vtype=GRB.CONTINUOUS)
```

where `I`

and `J`

are the set of values for `i`

and `j`

. This will create a two-dimensional array of variables, `x[i,j]`

, for every value of `i`

and `j`

. You can then use these variables in your objective function and constraints.

For example, to set the objective coefficient for the variable `x[i,j]`

to be equal to `c[i,j]`

, where `c`

is a two-dimensional parameter array, you can use the following code:

```
model.setObjective(quicksum(c[i,j]*x[i,j] for i in I for j in J))
```

This will set the objective function to be the sum of `c[i,j]*x[i,j]`

over all values of `i`

and `j`

.

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Asked: ** 2023-07-21 11:24:24 +0000 **

Seen: **12 times**

Last updated: **Jul 21 '23**

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