How to include an exponent function in an indicator constraint

Answered

Yizhi ZHEN

• August 07, 2024 05:46

Hi,

Now I want to model the relationship as followed:

if x==1: y=x^-0.5; if x==0: y=0

I have used addGenConstrPow(x,y,-0.5) to model function y=x^-0.5, and used addGenConstrIndicator() function to model whether x equals 1. If someone have ideas on how to combine addGenConstrPow() into addGenConstrIndicator()?

Thanks in advanced.

Best regards

Related to

• General Constraints

0

• 

  Yizhi ZHEN

  • August 07, 2024 05:56

  

  

  

  Sorry I make a spelling mistake, the corrected should be

  if x!=0: y=x^-0.5; if x==0: y=0

  where x is a non-negative integer.

  Thanks.

  Best regards

  0
• 

  Riley Clement

  Gurobi Staff

  • August 08, 2024 05:07

  Hi Yizhi,

  You can do this with an auxiliary variable.

  Create a constraint for 

  aux=x^-0.5

  which always holds, then your indicator constraint becomes

  if x==1: y=aux; if x==0: y=0

  - Riley

  0

Please sign in to leave a comment.