Is it possible to have constraints such as z^1.5 <= v in the model

Answered

Ebru Angun

• October 15, 2021 16:12

I have a problem with constraints: z^1.5 <= v.

It is possible to write power constraints as z^1.5 = v.

But, is it possible to have constraints such as z^1.5 <= v, where z, v >=0?

Is it possible to have z^1.5 <= vx, where x is binary?

 

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• Official comment

  

  Simranjit Kaur

  Gurobi Staff

  • December 06, 2024 00:24

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• 

  Maliheh Aramon

  Gurobi Staff

  • October 16, 2021 00:09
  • Edited

  Hi Ebru, 

  Have you tried using the GRBModel.addGenConstrPow() method?  To model \( z^{1.5} \leq v\), you can have:

  z = model.addVar(name="z")
  y = model.addVar(name="y") 
  v = model.addVar(name="v")
  
  model.addGenConstrPow(z, y, 1.5, name="map_power") # y = z^1.5
  model.addConstr(y <= v, name="inequality_constr")

  Gurobi versions 9.0 and later support bilinear constraints. To model \( z^{1.5} \leq vx\), you can have:

  x = model.addVar(vtype=GRB.BINARY, name="x")
  model.addConstr( y <= v * x, name="bilinear_constr")

  Best regrads,

  Maliheh

  1
• 

  Ebru Angun

  • October 17, 2021 08:51

  

  

  

  Thank you Maliheh.

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