How to write a sum constraint in JuMP with condition

Specific Domains Optimization (Mathematical)
1

Hi,

I am having trouble writing the following constraint in JuMP

2021-03-01
2021-03-01889×165 9.71 KB

I currently have it written as below but it is not returning the desired output.

@constraints model begin
    constraint_1[n in n],
      sum(w[i,n,np] for i in Ij for np in 1:length(n) if n <= np <= (n+d) ) <= 1.0
 end

where np is n’

Could someone please assist with the correct syntax?

2

A simple rule is that everything at the right of the ∀ (universal quantifier, \forall) should be in your constraint_name[...] clause. so:

@constraints model begin
    constraint_1[n in n, j in j],
      sum(w[i,n,np] for i in I[j] for np in n:(n+d)) <= 1.0
 end

Also, please stop using Sets with lowercase letters and iterate over them with the same lowercase letters, this is bad style.

3

Noted and thank you. It worked.

4

To clarify why it’s bad style, if you have [n in n, j in j] instead of [n in N, j in J], and you have something in the first constraint like for np in 1:length(n), it is using length(n) and not length(N).

5

I see. i have made the changes and it helped with other errors I was encountering. Thank you