Summation if binary variables are set

Answered

Mahbubul Alam Palash

September 02, 2022 17:11

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I have an array of binary decision variables and I want to multiply the index of the binary variables that are set to 1 with a constant and sum the multiplication and use that sum as a constraint. Is it possible to do it in Gurobi?  Thanks 

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• Official comment

  

  Simranjit Kaur

  • Gurobi Staff

  November 16, 2025 23:29

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  Jaromił Najman

  • Gurobi Staff

  September 02, 2022 18:42

  I am not sure I understand what you want. Do you mean something like:

  Given binary variables \(b_1,\dots,b_n\)

  \[\begin{align*}
  \sum_{i=1}^n b_i \cdot i \cdot c_i \leq d
  \end{align*}\]

  where \(c_i,d\) are some constants.

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  Mahbubul Alam Palash

  September 02, 2022 21:11 Edited

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  Thanks for replying. Yes, something similar to what you said and I am trying this with the  GRBLinExpr. I hope it will work. Thanks

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