Adding conditions to quicksum

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Xinyi Xie

2022年05月04日 10:22

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Hello, I'm trying to build this equation using "quicksum", but it never works. How should I fix it?

I=[1,2,3,4,5]

model.addConstrs((gp.quicksum(N[i] for i in range(1,i0+1))<=10 for i0 in I),name="Constr1")

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  Simranjit Kaur

  • Gurobi Staff

  2025年11月16日 23:38

  This post is more than three years old. Some information may not be up to date. For current information, please check the Gurobi Documentation or Knowledge Base. If you need more help, please create a new post in the community forum, or try Gurobot, our chatbot interface offering instant, expert-level support.
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  Xinyi Xie

  2022年05月04日 10:41

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  another question, because I previously attempted to write this way by:

  model.addConstrs((N[k]>=F[k]-F[k-1] for i in range(k-1,k) for k in I),name="Constr2") 

  and error is 

  name 'k' is not defined

  Are there other possible ways of writing this?

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  Jaromił Najman

  • Gurobi Staff

  2022年05月04日 11:08 編集済み

  Could you please provide a complete minimal reproducible example where you also define N, I, F, and the show error you see?

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  Xinyi Xie

  2022年05月04日 11:37

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  I seem to have solved this problem

  for example: 

  I_1 = [1,2,3,4,5]
  I = [2,3,4,5]
  N = model.addVars(I, vtype=GRB.BINARY, name="N")
  F = model.addVars(I_1, vtype=GRB.BINARY, name="F")
  
  model.addConstrs(N[i]>=F[i]-F[i-1] for i in I)
  model.addConstrs(N[i]>=F[i-1]-F[i] for i in I)
  model.addConstrs(N[i]<=F[i-1]+F[i] for i in I)
  model.addConstrs(N[i]<=2-F[i-1]-F[i] for i in I)

  I don't know why before I came across this error(name 'k' is not defined) anyway, thanks.

  and the first question, I have solved with for-loops:

  for i0 in I:
    model.addConstrs(gp.quicksum(N[i] for i in range(1,i0+1))<=10)

  maybe you have other better way to write this in one sentence?

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  Jaromił Najman

  • Gurobi Staff

  2022年05月04日 13:38

  There are two issues with your for-loop

  for i0 in I:
    model.addConstrs(gp.quicksum(N[i] for i in range(1,i0+1))<=10)

  You define \(N\) over \(I = \{2,3,4,5\}\), but in the \(\texttt{quicksum}\), you iterate over \(\texttt{range(1,i0+1)}\) which holds the index \(1\). For example, when \(i_0 = 2\), then \(i\) iterates over the list \([1,2]\). However, \(N_1\) is not available, only \(N_2, N_3,N_4,N_5\). You could define \(N\) over \(I_1\) to avoid this issue

  N = model.addVars(I_1, vtype=GRB.BINARY, name="N")

  Moreover, you use the addConstrs method, which takes a list of constraints as input. However, you are already adding your constraints via the for-loop. Thus, you should use the addConstr method

  for i0 in I:
    model.addConstr(gp.quicksum(N[i] for i in range(1,i0+1))<=10)

  Alternatively, you can use the addConstrs method and move the for-loop into constraint construction

  model.addConstrs( (gp.quicksum(N[i] for i in range(1,i0+1))<=10) for i0 in I)

  Best regards, 
  Jaromił

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