# Generate Variables JuMP
**URL:** https://discourse.julialang.org/t/generate-variables-jump/85900
**Category:** Optimization (Mathematical)
**Tags:** question, jump
**Created:** [August 17, 2022, 11:52pm UTC](https://discourse.julialang.org/t/generate-variables-jump/85900 "2022-08-17T23:52:54Z")
**Posts on this page:** 4
**Page:** 1
### Author:  [@Yuri\_Mizusawa](https://discourse.julialang.org/u/Yuri_Mizusawa)
#### Post date: [August 17, 2022, 11:52pm UTC](https://discourse.julialang.org/t/generate-variables-jump/85900/1 "2022-08-17T23:52:54Z")
Hi,
I’m not sure if I had to make a new post or continue the old one, but as I have a new question I created a new topic.
I am solving an optimization problem with jump using the following table:
```julia
Row │ time room_1 room_2 room_3 w_day
│ Float64 Float64 Float64 Float64 String
─────┼─────────────────────────────────────────────
1 │ 10.0 2.0 1.0 5.0 Monday
2 │ 11.0 3.0 1.0 6.0 Monday
```
I need to create a binary variable x[time,room,w\_day], my problem is that for time 10 I can only have courses 2, 1 and 5. that would get me x[10,2,Monday], x[10,1,Monday] and x[10,5,Monday].
I am to make the variable like this:
```julia
@variable(model, x[10,[1,2,5],["Monday"]], Bin)
```
From the 2 lines table above I would have to iterate through time [10 , 11]
getting:
x[10,2,Monday], x[10,1,Monday] and x[10,5,Monday]
x[11,3,Monday], x[11,1,Monday] and x[11,6,Monday]
But as I loop I get the error of “same name variable” (I understand that it is to prevent errors ), is there a way to make all the variables under the same variable array?
I found the topic of Anonymous Variables, but I’m not sure how I can use it to make my variables.
Thank you!
---
### Author:  [@odow](https://discourse.julialang.org/u/odow)
#### Post date: [August 18, 2022, 12:25am UTC](https://discourse.julialang.org/t/generate-variables-jump/85900/2 "2022-08-18T00:25:26Z")
There are a couple of options. The simplest would be to pre-compute the set of indices that you are interested in:
```julia
using JuMP, DataFrames
S = Tuple{Int,Int,String}[]
for row in eachrows(df)
push!(S, (row.time, row.room_1, row.w_day))
push!(S, (row.time, row.room_2, row.w_day))
push!(S, (row.time, row.room_3, row.w_day))
end
model = Model()
@variable(model, x[S])
x[(10, 2, "Monday")]
```
Or you could do something like:
```julia
using JuMP, DataFrames
model = Model()
x = Dict(
(Int(r.time), r.w_day) => @variable(model, [Int[r.room_1, r.room_2, r.room_3]])
for r in eachrows(df)
)
x[(10, "Monday")][2]
```
It depends on what is in the rest of the data frame, and how you intend to use the variables.
A good part of JuMP is that it is flexible in how it lets you build data structures, but it’s also a bad part because there isn’t a single way to achieve things.
---
### Author:  [@Yuri\_Mizusawa](https://discourse.julialang.org/u/Yuri_Mizusawa)
#### Post date: [August 18, 2022, 1:46am UTC](https://discourse.julialang.org/t/generate-variables-jump/85900/3 "2022-08-18T01:46:27Z")
Thanks for the answer, the first option works really well.
I ended up creating all the variables and a matrix of coeficients where 1 is “present” and 0 is “not”. So I ended up with this structure:
```julia
x[10.0,1.0,Segunda] x[10.0,2.0,Segunda] 0 0 x[10.0,5.0,Segunda] 0
```
Worked all rigth, but it gives me extra variables so I believe your solution would be better.
Thanks again, as I’m new to Julia these insigths really help.
Cheers!
---
### Author:  [@odow](https://discourse.julialang.org/u/odow)
#### Post date: [August 18, 2022, 1:58am UTC](https://discourse.julialang.org/t/generate-variables-jump/85900/4 "2022-08-18T01:58:07Z")
Along that note, you could also use
```julia
times = [10, 11]
rooms = [1, 2, 3, 4, 5, 6]
days = ["Monday", "Tuesday"]
model = Model()
@variable(model, x[times, rooms, days], Bin)
# Disable rooms that we can't use by fixing their values to 0
for row in eachrow(df)
for room in setdiff(rooms, Int[row.room_1, row.room_2, row.room_3])
fix(x[Int(row.time), room, row.w_day], 0)
end
end
```