Indicator Constraint with Multiple Conditions

Answered

Taylor Leonard

• December 10, 2019 14:11

I use indicator constraints regularly for their convenience, but is there currently a way to introduce an indicator constraint with multiple binary variable conditions?

Thanks in advance, 

Taylor

1

• Official comment

  

  Simranjit Kaur

  Gurobi Staff

  • December 06, 2024 00:51

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• 

  Silke Horn

  Gurobi Staff

  • December 31, 2019 10:42

  I assume by "multiple binary variable conditions" you mean something like this:

  $$ x_1 == 1\mathrm{\ \ AND\ \ } x_2 == 1 \implies \text{<some constraint>} $$

  You can only have one indicator variable in each indicator constraint, but you can, of course, model something like the above using auxiliary variables. E.g.

  $$ x_3 == \mathrm{AND}(x_1, x_2)$$

  and then use this new variable in the indicator constraint.

  1

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